diff --git a/books/bookvolbib.pamphlet b/books/bookvolbib.pamphlet index 600363f..a1f77c6 100644 --- a/books/bookvolbib.pamphlet +++ b/books/bookvolbib.pamphlet @@ -13,6 +13,7 @@ The third section sorts papers by topic. \section{Linear Algebra} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Unpublished{Kalt01, author = "Kaltofen, E.", @@ -20,11 +21,34 @@ The third section sorts papers by topic. over finite fields (Invited talk)", year = "2001", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/01/Ka01_Fq6.pdf", - paper = "Kalt01.pdf" + paper = "Kalt01.pdf", + keywords = "survey", + abstract = " + Sparse and structured matrices over finite fields occur in many + settings. Sparse linear systems arise in sieve-based integer factoring + and discrete logarithm algorithms. Structured matrices arise in + polynomial factoring algorithms; one example is the famous Q-matrix + from Berlekamp's method. Sparse diophantine linear problems, like + computing the Smith canonical form of an integer matrix or computing + an integer solution to a sparse linear system, are reduced via p-adic + lifting to sparse matrix analysis over a finite field. + + In the past 10 years there has been substantial activity on the + improvement of a solution proposed by Wiedemann in 1986. The main new + ingredients are faster pre-conditioners, projections by an entire + block of random vectors, Lanczos recurrences, and a connection to + Kalman realizations of control theory. My talk surveys these + developments and describe some major unresolved problems." } \end{chunk} +\index{Chen, L.} +\index{Eberly, W.} +\index{Kaltofen, Erich} +\index{Saunders, B. David} +\index{Turner, W. J.} +\index{Villard, Gilles} \begin{chunk}{axiom.bib} @Article{Chen02, author = "Chen, L. and Eberly, W. and Kaltofen, E. @@ -35,11 +59,30 @@ The third section sorts papers by topic. volume = "343--344", pages = "119--146", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/02/CEKSTV02.pdf", - paper = "Chen02.pdf" + paper = "Chen02.pdf", + abstract = " + The main idea of the ``black box'' approach in exact linear algebra is + to reduce matrix problems to the computation of minimum polynomials. + In most cases preconditioning is necessary to obtain the desired + result. Here good preconditioners will be used to ensure geometrical + / algebraic properties on matrices, rather than numerical ones, so we + do not address a condition number. We offer a review of problems for + which (algebraic) preconditioning is used, provide a bestiary of + preconditioning problems, and discuss several preconditioner types to + solve these problems. We present new conditioners, including + conditioners to preserve low displacement rank for Toeplitz-like + matrices. We also provide new analyses of preconditioner performance + and results on the relations among preconditioning problems and with + linear algebra problems. Thus, improvements are offered for the + efficiency and applicability of preconditioners. The focus is on + linear algebra problems over finite fields, but most results are valid + for entries from arbitrary fields." } \end{chunk} +\index{Kaltofen, Erich} +\index{Storjohann, Arne} \begin{chunk}{axiom.bib} @InCollection{Kalt11d, author = "Kaltofen, Erich and Storjohann, Arne", @@ -48,11 +91,24 @@ The third section sorts papers by topic. crossref = "EACM", year = "2011", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/11/KS11.pdf", - paper = "Kalt11d.pdf" + paper = "Kalt11d.pdf", + abstract = " + Computational problems in exact linear algebra including computing an + exact solution of a system of linear equations with exact scalars, + which can be exact rational numbers, integers modulo a prime number, + or algebraic extensions of those represented by their residues modulo + a minimum polynomial. Classical linear algebra problems are computing + for a matrix its rank, determinant, characteristic and minimal + polynomial, and rational canonical form (= Frobenius normal form). For + matrices with integer and polynomial entries one computes the Hermite + and Smith normal forms. If a rational matrix is symmetric, one + determines if the matrix is definite." } \end{chunk} +\index{Comer, Matthew T.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Come12, author = "Comer, Matthew T. and Kaltofen, Erich L.", @@ -65,11 +121,27 @@ The third section sorts papers by topic. number = "4", pages = "480--491", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/10/CoKa10.pdf", - paper = "Come12.pdf" + paper = "Come12.pdf", + abstract = " + We derive an explicit count for the number of singular $n\times n$ + Hankel (Toeplitz) matrices whose entries range over a finite field + with $q$ elements by observing the execution of the Berlekamp / Massey + algorithm on its elements. Our method yields explicit counts also when + some entries above or on the anti-diagonal (diagonal) are fixed. For + example, the number of singular $n\times n$ Toeplitz matrices with 0's + on the diagonal is $q^{2n-3}+q^{n-1}-q^{n-2}$. + + We also derive the count for all $n\times n$ Hankel matrices of rank + $r$ with generic rank profile, I.e., whose first $r$ leading principal + submatrices are non-singular and the rest are singular, namely + $q^r(q-1)^r$ in the case $r < n$ and $q^{r-1}(q-1)^r$ in the case + $r=n$. This result generalizes to block-Hankel matrices as well." } \end{chunk} +\index{Kaltofen, Erich} +\index{Yuhasz, George} \begin{chunk}{axiom.bib} @Article{Kalt13a, author = "Kaltofen, Erich and Yuhasz, George", @@ -81,11 +153,23 @@ The third section sorts papers by topic. month = "November", pages = "2515--2526", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/08/KaYu08.pdf", - paper = "Kalt13a.pdf" + paper = "Kalt13a.pdf", + abstract = " + We describe a fraction free version of the Matrix Berlekamp / Massey + algorithm. The algorithm computes a minimal matrix generator of + linearly generated square matrix sequences over an integral + domain. The algorithm performs all operations in the integral domain, + so all divisions performed are exact. For scalar sequences, the matrix + algorithm specializes to a more efficient algorithm than the algorithm + currently in the literature. The proof of integrality of the matrix + algorithm gives a new proof of integrality for the scalar + specialization." } \end{chunk} +\index{Kaltofen, Erich} +\index{Yuhasz, George} \begin{chunk}{axiom.bib} @Article{Kalt13, author = "Kaltofen, Erich and Yuhasz, George", @@ -96,11 +180,23 @@ The third section sorts papers by topic. month = "September", journal = "ACM Trans. Algorithms", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/06/KaYu06.pdf", - paper = "Kalt13.pdf" + paper = "Kalt13.pdf", + abstract = " + We analyze the Matrix Berlekamp / Massey algorithm, which generalizes + the Berlekamp / Massey algorithm [Massey 1969] for computing linear + generators of scalar sequences. The Matrix Berlekamp / Massey + algorithm computes a minimal matrix generator of a linearly generated + matrix sequence and has been first introduced by Rissanen [1972a], + Dickinson et al. [1974], and Coppersmit [1994]. Our version of the + algorithm makes no restrictions on the rank and dimensions of the + matrix sequence. We also give new proofs of correctness and complexity + for the algorithm, which is based on self-contained loop invariants + and includes an explicit termination criterion for a given + determinantal degree bound of the minimal matrix generator" } - \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt02a, author = "Kaltofen, Erich", @@ -116,6 +212,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Kaltofen, Erich} +\index{Villard, Gilles} \begin{chunk}{axiom.bib} @InProceedings{Kalt01a, author = "Kaltofen, E. and Villard, G.", @@ -127,11 +225,29 @@ The third section sorts papers by topic. isbn = "981-02-4763-X", year = "2001", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/01/KaVi01.pdf", - paper = "Kalt01a.pdf" + paper = "Kalt01a.pdf", + abstract = " + The computation of the determinant of an $n\times n$ matrix $A$ of + numbers or polynomials is a challenge for both numerical and symbolic + methods. Numerical methods, such as Clarkson's algorithm [10,7] for + the sign of the determinant must deal with conditionedness that + determines the number of mantissa bits necessary for obtaining a + correct sign. Symbolic algorithms that are based on Chinese + remaindering [6,17,Chapter 5.5] must deal with the fact that the + length of the determinant in the worse case grows linearly in the + dimension of the matrix. Hence the number of modular operations is $n$ + times the number of arithmetic operations in a given algorithm. + Hensel lifting combined with rational number recovery [14,1] has cubic + bit complexity in $n$, but the algorithm can only determine a factor + of the determinant, namely the largest invariant factor. If the matrix + is similar to a multiple of the identity matrix, the running time is + again that of Chinese remaindering." } \end{chunk} +\index{Kaltofen, Erich} +\index{Villard, Gilles} \begin{chunk}{axiom.bib} @Article{Kalt04a, author = "Kaltofen, Erich and Villard, Gilles", @@ -148,6 +264,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Eberly, W.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt97b, author = "Eberly, W. and Kaltofen, E.", @@ -157,14 +275,62 @@ The third section sorts papers by topic. crossref = "ISSAC97", pages = "176--183", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/97/EbKa97.pdf", - paper = "Kalt97b.pdf" - -} - -\end{chunk} - -\begin{chunk}{axiom.bib} -@InProceedings{Kalt94b, + paper = "Kalt97b.pdf", + abstract = " + Las Vegas algorithms that are based on Lanczo's method for solving + symmetric linear systems are presented and analyzed. These are + compared to a similar randomized Lanczos algorithm that has been used + for integer factorization, and to the (provably reliable) algorithm of + Wiedemann. The analysis suggests that our Lanczos algorithms are + preferable to several versions of Wiedemann's method for computations + over large fields, expecially for certain symmetric matrix + computations." +} + +\end{chunk} + +The Sylvester matrix is used to compute the {\bf resultant} of two +polynomials. The Sylvester matrix is formed from the coefficients of +the two polynomials. Given a polynomial with degree $m$ and another of +degree $n$ form an $(m+n)\times(m+n)$ matrix by filling the matrix +from the upper left corner with the coefficients of the first +polynomial then shifting down one row and one column to the right and +filling in the coefficients starting there until they hit the right +column. Starting at the next row, do the same process for the second +polynomial. The determinant of this matrix is the {\bf resultant} of +the two polynomials. + +For example, given $a_3x^3+a_2x^2+a_1x+a_0$ and $b_2x^2+b_1x+b_0$ +the Sylvester matrix is a $(3+2)\times(3+2)$ matrix: +\[\left[\begin{array}{ccccc} +a_3 & a_2 & a_1 & a_0 & 0\\ +0 & a_3 & a_2 & a_1 & a_0\\ +b_2 & b_1 & b_0 & 0 & 0\\ +0 & b_2 & b_1 & b_0 & 0\\ +0 & 0 & b_2 & b_1 & b_0 +\end{array}\right]\] + +The resultant of these two polynomials (assuming a leading coefficient +of 1), is the product of the differences $p_i-q_i$ between the roots +of the polynomials. If there are roots in common then the product +will contain a 0 and the whole equation reduces to 0. This can be +used to determine if two polynomials have common roots. + +For example, given a polynomial in $x$ with distinct roots $a_1$ +and $a_2$ it can be factored as $t1:=(x-a_1)(x-a_2)$. + +Given a second polynomial in $x$ with distinct roots $b_1$, $b_2$, +and $b_3$ it can be factored as $t2:=(x-b_1)(x-b_2)(x-b_3)$. + +The Axiom call of $resultant(t1,t2,x)$ is +\[ (b_1-a_2)(b_1-a_1)(b_2-a_2)(b_2-a_1)(b_3-a_2)(b_3-a_1) \] + +In symbolic form the resultant can show the multiplicity of roots +when shown in factored form. + +\index{Kaltofen, Erich} +\begin{chunk}{axiom.bib} +@InProceedings{Kalt94c, author = "Kaltofen, E.", title = "Asymptotically fast solution of {Toeplitz}-like singular linear systems", @@ -173,14 +339,30 @@ The third section sorts papers by topic. crossref = "ISSAC94", year = "1994", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/94/Ka94_issac.pdf", - paper = "Kalt94b.pdf" + paper = "Kalt94c.pdf", + abstract = " + The Toeplitz-likeness of a matrix (Kailath et al. 1979) is the + generalization of the notion that a matrix is Toeplitz. Block matrices + with Toeplitz blocks, such as the Sylvester matrix corresponding to + the resultant of two univariate polynomials, are Toeplitz-like, as are + products and inverses of Toeplitz-like matrices. The displacement rank + of a matrix is a measure for the degree of being Toeplitz-like. For + example, an $r\times s$ block matrix with Toeplitz blocks has + displacement rank $r+s$ whereas a generic $N\ximtes N$ matrix has + displacement rank $N$. A matrix of displacement rank $\alpha$ can be + implicitly represented by a sum of $\alpha$ matrices, each of which is + the product of a lower trainagular and an upper triangular Toeplitz + matrices. Such a $\sigmaLU$ representation can usually be obtained + efficiently." } \end{chunk} +\index{Kaltofen, Erich} +\index{Lobo, A.} \begin{chunk}{axiom.bib} @Article{Kalt99, - author = "Kaltofen, E. and Lobo, A", + author = "Kaltofen, E. and Lobo, A.", title = "Distributed matrix-free solution of large sparse linear systems over finite fields", journal = "Algorithmica", @@ -190,11 +372,27 @@ The third section sorts papers by topic. volume = "24", number = "3--4", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/99/KaLo99.pdf", - paper = "Kalt99.pdf" + paper = "Kalt99.pdf", + abstract = " + We describe a coarse-grain parallel approach for the homogeneous + solution of linear systems. Our solutoins are symbolic, i.e., exact + rather than numerical approximations. We have performed an outer loop + parallelization that works well in conjunction with a black box + abstraction for the coefficient matrix. Our implementation can be run + on a network cluster of UNIX workstations as well as on an SP-2 + multiprocessor. Task distribution and management are effected through + MPI and other packages. Fault tolerance, checkpointing, and recovery + are incorporated. Detailed timings are presented for experiments with + systems that arise in RSA challenge integer factoring efforts. For + example, we can solve a 252,222$\times$252,222 system with about 11.04 + million nonzero entries over the Galois field with two elements using + four processors of an SP-2 multiprocessor, in about 26.5 hours CPU time." } \end{chunk} +\index{Kaltofen, Erich} +\index{Lobo, A.} \begin{chunk}{axiom.bib} @InProceedings{Kalt96a, author = "Kaltofen, E. and Lobo, A.", @@ -208,11 +406,23 @@ The third section sorts papers by topic. publisher = "Simulation Councils, Inc.", address = "San Diego, CA", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/96/KaLo96_hpc.pdf", - paper = "Kalt96a.pdf" + paper = "Kalt96a.pdf", + abstract = " + We describe a coarse-grain parallel software system for the + homogeneous solution of linear systems. Our solutions are symbolic, + i.e., exact rather than numerical approximations. Our implementation + can be run on a network cluster of SPARC-20 computers and on an SP-2 + multiprocessor. Detained timings are presented for experiments with + systems that arise in RSA challenge integer factoring efforts. For + example, we can solve a 252,222$\times$252,222 system with about 11.04 + million non-zero entries over the Galois field with 2 elements using 4 + processors of an SP-2 multiprocessor, in about 26.5 hours CPU time." } \end{chunk} +\index{Kaltofen, Erich} +\index{Lobo, A.} \begin{chunk}{axiom.bib} @InProceedings{Kalt94a, author = "Kaltofen, E. and Lobo, A.", @@ -223,11 +433,22 @@ The third section sorts papers by topic. pages = "90--98", year = "1994", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/94/KaLo94.ps.gz", - paper = "Kalt94a.ps" + paper = "Kalt94a.ps", + abstract = " + Modern techniques for solving structured linear systems over finite + fields, which use the coefficient matrix as a black box and require an + efficient algorithm for multiplying this matrix by a vector, are + applicable to the classical algorithm for factoring a univariate + polynomial over a finite field by Berlekamp (1967 and 1970). We report + aon a computer implementation of this idea that is based on the + parallel block Wiedemann linear system solver (Coppersmit 1994 and + Kaltofen 1993 and 1995). The program uses randomization and we also + study the expected run time behavior of our method." } \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt95, author = "Kaltofen, E.", @@ -239,11 +460,26 @@ The third section sorts papers by topic. number = "210", pages = "777--806", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/95/Ka95_mathcomp.pdf", - paper = "Kalt95.pdf" + paper = "Kalt95.pdf", + abstract = " + By using projections by a block of vectors in place of a single vector + it is possible to parallelize the outer loop of iterative methods for + solving sparse linear systems. We analyze such a scheme proposed by + Coppersmith for Wiedemann's coordinate recurrence algorithm, which is + based in part on the Krylov subspace approach. We prove that by use of + certain radomizations on the input system the parallel speed up is + roughly by the number of vectors in the blocks when using as many + processors. Our analysis is valid for fields of entries that have + sufficiently large cardinality. Our analysis also deals with an + arising subproblem of solving a singular block Toeplitz system by use + of the theory of Toeplitz-like matrices." } \end{chunk} +\index{Kaltofen, Erich} +\index{Krishnamoorthy, M.S.} +\index{Saunders, B. David} \begin{chunk}{axiom.bib} @Article{Kalt90a, author = "Kaltofen, E. and Krishnamoorthy, M.S. and Saunders, B.D.", @@ -253,11 +489,30 @@ The third section sorts papers by topic. volume = "136", pages = "189--208", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/90/KKS90.pdf", - paper = "Kalt90a.pdf" + paper = "Kalt90a.pdf", + abstract = " + Here we offer a new randomized parallel algorithm that determines the + Smith normal form of a matrix with entries being univariate + polynomials with coefficients in an arbitrary field. The algorithm has + two important advantages over our previous one: the multipliers + related the Smith form to the input matrix are computed, and the + algorithm is probabilistic of Las Vegas type, i.e., always finds the + correct answer. The Smith form algorithm is also a good sequential + algorithm. Our algorithm reduces the problem of Smith form + computations to two Hermite form computations. Thus the Smith form + problem has complexity asymptotically that of the Hermite form + problem. We also construct fast parallel algorithms for Jordan normal + form and testing similarity of matrices. Both the similarity and + non-similarity problems are in the complexity class RNC for the usual + coefficient fields, i.e., they can be probabilistically decided in + poly-logarithmic time using polynomially many processors." } \end{chunk} +\index{Kaltofen, Erich} +\index{Krishnamoorthy, M.S.} +\index{Saunders, B. David} \begin{chunk}{axiom.bib} @Article{Kalt87, author = "Kaltofen, E. and Krishnamoorthy, M.S. and Saunders, B.D.", @@ -268,11 +523,23 @@ The third section sorts papers by topic. volume = "8", pages = "683--690", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/87/KKS87.pdf", - paper = "Kalt87.pdf" + paper = "Kalt87.pdf", + abstract = " + Boolean circuits of polynomial size and poly-logarithmic depth are + given for computing the Hermite and Smith normal forms of polynomial + matrices over finite fields and the field of rational numbers. The + circuits for the Smith normal form computation are probabilistic ones + and also determine very efficient sequential algorithms. Furthermore, + we give a polynomial-time deterministic sequential algorithm for the + Smith normal form over the rationals. The Smith normal form algorithms + are applied to the Rational canonical form of matrices over finite + fields and the field of rational numbers." } \end{chunk} +\index{Kaltofen, Erich} +\index{Pan, V.} \begin{chunk}{axiom.bib} @InProceedings{Kalt92, author = "Kaltofen, E. and Pan, V.", @@ -284,11 +551,24 @@ The third section sorts papers by topic. publisher = "IEEE Computer Society Press", address = "Los Alamitos, California", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/92/KaPa92.pdf", - paper = "Kalt92.pdf" + paper = "Kalt92.pdf", + abstract = " + We show that over any field, the solution set to a system of $n$ + linear equations in $n$ unknowns can be computed in parallel with + randomization simultaneously in poly-logarithmic time in $n$ and with + only as many processors as are utilized to multiply two $n\times n$ + matrices. A time unit represents an arithmetic operation in the + field. For singular systems our parallel timings are asymptotically as + fast as those for non-singular systems, due to our avoidance of binary + search in the matrix rank problem, except when the field has small + positive characteristic; in that case, binary search is avoided to a + somewhat higher processor count measure." } \end{chunk} +\index{Kaltofen, Erich} +\index{Pan, V.} \begin{chunk}{axiom.bib} @InProceedings{Kalt91c, author = "Kaltofen, E. and Pan, V.", @@ -300,11 +580,25 @@ The third section sorts papers by topic. year = "1991", address = "New York, N.Y.", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/91/KaPa91.pdf", - paper = "Kalt91c.pdf" + paper = "Kalt91c.pdf", + abstract = " + Parallel randomized algorithms are presented that solve + $n$-dimensional systems of linear equations and compute inverses of + $n\times n$ non-singular matrices over a field in $O((log n)^2)$ time, + where each time unit represents an arithmetic operation in the field + generated by the matrix entries. The algorithms utilize with a $O(log n)$ + factor as many processors as are needed to multiply two $n\times n$ + matrices. The algorithms avoid zero divisions with controllably + high probability provided the $O(n)$ random elements used are selected + uniformly from a sufficiently large set. For fields of small positive + characteristics, the processor count measures of our solutions are + somewhat higher." } \end{chunk} +\index{Kaltofen, Erich} +\index{Saunders, B. David} \begin{chunk}{axiom.bib} @InProceedings{Kalt91, author = "Kaltofen, E. and Saunders, B.D.", @@ -317,13 +611,39 @@ The third section sorts papers by topic. publisher = "Springer-Verlag", year = "1991", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/91/KaSa91.pdf", - paper = "Kalt91.pdf" + paper = "Kalt91.pdf", + abstract = " + Douglas Wiedemann's (1986) landmark approach to solving sparse linear + systems over finite fields provides the symbolic counterpart to + non-combinatorial numerical methods for solving sparse linear systems, + such as the Lanczos or conjugate gradient method (see Golub and van + Load (1983)). The problem is to solve a sparse linear system, when the + individual entries lie in a generic field, and the only operations + possible are field arithmethic; the solution is to be exact. Such is + the situation, for instance, if one works in a finite field. Wiedemann + bases his approach on Krylov subspaces, but projects further to a + sequence of individual field elements. By making a link to the + Berlekamp / Massey problem from coding theory -- the coordinate + recurrences -- and by using randomization an algorithm is obtained + with the following property. On input of an $n\times n$ coefficient + matrix $A$ given by a so-called black box, which is a program that can + multiply the matrix by a vector (see Figure 1), and of a vector $b$, + the algorithm finds, with high probability in case the system is + solvable, a random solution vector $x$ with $Ax=b$. It is assumed that + the field has sufficiently many elements, say no less than $50n^2 + log(x)$, otherwise one goes to a finite algebraic extension. The + complexity of the method is in the general singular case $O(n log + (n))$ calls to the black box for $A$ and an additional $O(n^2 + log(n)^2)$ field arithmetic operations." } \end{chunk} \section{Algebraic Algorithms} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Diaz, A.} +\index{Kaltofen, Erich} +\index{Pan, V.} \begin{chunk}{axiom.bib} @InCollection{Diaz97, author = "Diaz, A. and Kaltofen, E. and Pan, V.", @@ -337,11 +657,29 @@ The third section sorts papers by topic. chapter = "10", keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/97/DKP97.ps.gz", - paper = "Diaz97.ps" + paper = "Diaz97.ps", + abstract = " + The title's subject is the algorithmic approach to algebra: arithmetic + with numbers, polynomials, matrices, differential polynomials, such as + $y^{\prime\prime} + (1/2 + x^4/4)y$, truncated series, + and algebraic sets, i.e., + quantified expressions such as $\exists x \in {\bf R}: x^4+p\cdot x+q=0$, + which describes a subset of the two-dimensional space with + coordinates $p$ and $q$ for which the given quartic equation has a + real root. Algorithms that manipulate such objects are the backbone + of modern symbolic mathematics software such as the Maple and + Mathematica systems, to name but two among many useful systems. This + chapter restricts itself to algorithms in four areas: linear matrix + algebra, root finding ov univariate polynomials, solution of systems + of nonlinear algebraic equations, and polynomial factorization." } \end{chunk} +\index{Diaz, A.} +\index{Emiris, I.} +\index{Kaltofen, Erich} +\index{Pan, V.} \begin{chunk}{axiom.bib} @InCollection{Diaz99, author = "Diaz, A. and Emiris, I. and Kaltofen, E. and Pan, V.", @@ -355,11 +693,28 @@ The third section sorts papers by topic. isbn = "0-8493-2649-4", keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/99/DEKP99.ps.gz", - paper = "Diaz99.ps" + paper = "Diaz99.ps", + abstract = " + The title's subject is the algorithmic approach to algebra: arithmetic + with numbers, polynomials, matrices, differential polynomials, such as + $y^n+(1/2+x^4/4)y$, truncated series, and algebraic sets, i.e., + quantified expressions such as $\exists x \in {\bf R}: x^4+p\cdotx+q=0$, + which describes a subset of the two-dimensional space with + coordinates $p$ and $q$ for which the given quartic equation has a + real root. Algorithms that manipulate such objects are the backbone + of modern symbolic mathematics software such as the Maple and + Mathematica systems, to name but two among many useful systems. This + chapter restricts itself to algorithms in four areas: linear algebra, + root finding for univariate polynomials, solution of systems of + nonlinear algebraic equations, and polynomial factorization (see + section 5 on some pointers to the vast further material on algebraic + algorithms and section 2.2 and [Pan 1993] on further applications to + the graph and combinatorial computations)." } \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt87a, author = "Kaltofen, E.", @@ -371,15 +726,30 @@ The third section sorts papers by topic. year = "1987", volume = "2", address = "Palo Alto, California", - keywords = "survey", + keywords = "survey,axiomref", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/87/Ka87_annrev.pdf", - paper = "Kalt87a.pdf" + paper = "Kalt87a.pdf", + abstract = " + The origins of the discipline of computer algebra can be found in + Issac Newton's {\sl Universal Arithmetic} (1728) [130], where methods + for methods for manipulating universal mathematical expressions (i.e. + formulas containing symbolic indeterminates) and algorithms for + solving equations built with these expressions are systematically + discussed. One can interpret the misson of computer algebra as the + construction of computer systems that enable scientific or engineering + users, for instance, to carry out mathematical manipulation + automatically. Indeed, systems with this goal already exist, among + them {MACSYMA}, {MAPLE}, {muMATH}, {REDUCE}, {SAC/2}, {SCRATCHPAD/II}, + and {SMP}. These systems carry out scientific computing tasks, whose + results are distinguished from numerical computing in two principle + aspects." } \end{chunk} \section{Sparse Linear Systems} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt96b, author = "Kaltofen, E.", @@ -394,13 +764,32 @@ The third section sorts papers by topic. keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/96/Ka96_stratagem.ps.gz", - paper = "Kalt96b.ps" + paper = "Kalt96b.ps", + abstract = " + The problem of solving a large sparse or structured system of linear + equations in the symbolic context, for instance when the coefficients + lie in a finite field, has arisen in several applications. A famous + example are the linear systems of ${\bf F}_2$, the field with 2 + elements, that arise in sieve based integer factoring algorithms. For + example, for the factorization of the RSA-130 challenge number several + column dependencies of a $3504823\times 3516502$ matrix with an + average of $39.4.$ non-zero entries per column needed to be computed + [10]. A second example is the Berlekamp polynomial factorization + algorithm [6]. In that example, the matrix is not explicitly + constructed, but instead a fast algorithm for performing the matrix + times vector product is used. Further examples for such ``black box + matrices'' arise in the power series solutoin of algebraic or + differential equations by undetermined coefficients. The arising + linear systems for the coefficients usually have a distinct structure + that allows a fast coefficient matrix times vector product." } \end{chunk} \section{Matrix Determinants} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} +\index{Villard, Gilles} \begin{chunk}{axiom.bib} @Article{Kalt04, author = "Kaltofen, E. and Villard, G.", @@ -414,7 +803,16 @@ The third section sorts papers by topic. year = "2004", keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/02/KaVi02.pdf", - paper = "Kalt04.pdf" + paper = "Kalt04.pdf", + abstract = " + Computation of the sign of the determinant of a matrix and the + determiant itself is a challenge for both numerical and exact + methods. We survey the complexity of existing methods to solve these + problems when the input is an $n\times n$ matrix $A$ with integer + entries. We study the bit-complexities of the algorithms + asymptotically in $n$ and the norm $A$. Existing approaches rely on + numerical approximate computations, on exact computations, or on both + types of arithmetic in combination." } \end{chunk} @@ -422,6 +820,7 @@ The third section sorts papers by topic. \section{Open Problems} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt00, author = "Kaltofen, E.", @@ -433,13 +832,39 @@ The third section sorts papers by topic. year = "2000", keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/2K/Ka2K.pdf", - paper = "Kalt00.pdf" + paper = "Kalt00.pdf", + abstract = " + The success of the symbolic mathematical computation discipline is + striking. The theoretical advances have been continuous and significant: + Gr{\"o}bner bases, the Risch integration algorithm, integer lattice + basis reduction, hypergeometric summation algorithms, etc. From the + beginning in the early 60s, it has been the tradition of our discipline + to create software that makes our ideas readily available to a + scientists, engineers, and education: {SAC-1}, {Reduce}, {Macsyma}, etc. + The commercial viability of our system products is proven by Maple and + Mathematica. + + Today's user communities of symbolic computation systems are diverse: + educators, engineers, stock market anaysts, etc. The mathematics and + computer science in the design and implementation of our algorithms are + sophisticated. The research challenges in symbolic computation at the + close of the 20th century are formidable. + + I state my favorite eight open problems in symbolic computations. They + range from problems in symbolic /numeric computing, symbolic algorithm + synthesis, to system component construction. I have worked on seven of + my problems and borrowed one from George Collins. I present background + to each of my problems and a clear-cut test that evaluates whether a + proposed attack has solved one of my problems. An additional ninth + open problem by Rob Corless and David Jeffrey on complex function + semantics is given in an appendix." } \end{chunk} \section{Parallel Evaluation} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt93a, author = "Kaltofen, E.", @@ -453,13 +878,29 @@ The third section sorts papers by topic. keywords = "survey", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/93/Ka93_synthesis.ps.gz", - paper = "Kalt93a.ps" + paper = "Kalt93a.ps", + abstract = " + One generic parallel evaluation scheme for algebraic objects, that of + evaluating algebraic computation trees or formulas, is presented by + Miller in a preceding chapter of this book. However, there are basic + algebraic functions for which the tree model of computation seems not + sufficient to allow an eficient -- even sequential -- decision-free + algebraic computation. The formula model essentially restricts the use + of an intermediate result to a single place, because the parse tree + nodes have fan-out one. If an intermediate result participates in the + computations of several further nodes, in the tree model it must be + recomputed anew for each of these nodes. It is a small formal change + to allow node values to propagate to more than one node deeper level + of the computation. Thus we obtain the {\sl algebraic circuit model}, + which is equivalent to the {\sl straight-line program model}." } \end{chunk} \section{Hybrid Symbolic/Numeric} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt06, author = "Kaltofen, Erich and Zhi, Lihong", @@ -469,11 +910,41 @@ The third section sorts papers by topic. crossref = "ISSAC06", pages = "7", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/06/KaZhi06.pdf", - paper = "Kalt06.pdf" -} - -\end{chunk} - + paper = "Kalt06.pdf", + abstract = " + Several standard problems in symbolic computation, such as greatest + common divisors and factorization of polynomials, sparse + interpolation, or computing solutions to overdetermined systems of + polynomial equations have non-trivial solutions only if the input + coefficients satisfy certain algebraic constraints. Errors in the + coefficients due to floating point round-off or through physical + measurement thus render the exact symbolic algorithms unusable. By + symbolic-numeric methods one computes minimal deformations of the + coefficients that yield non-trivial results. We will present hybrid + algorithms and benchmark computations based on Gauss-Newton + optimazation, singular value decomposition (SVD) and + structure-preserving total least squares (STLS) fitting for several of + the above problems. + + A significant body of results to solve those ``approximate computer + algebra'' problems has been discovered in the past 10 years. In the + Computer Algebra Handbook the section on ``Hybrid Methods'' concludes + as follows [2]: ``The challenge of hybrid symbolic-numeric algorithms + is to explore the effects of imprecision, discontinuity, and + algorithmic complexity by applying mathematical optimization, + perturbation theory, and inexact arithmetic and other tools in order + to solve mathematical problems that today are not solvable by + numeriiical or symbolic methods alone.'' The focus of our tutorial is + on how to formulate several approximate symbolic computation problems + as numerical problems in linear algebra and optimization and on + software that realizes their solutions." +} + +\end{chunk} + +\index{Hutton, Sharon E.} +\index{Kaltofen, Erich} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Hutt10, author = "Hutton, Sharon E. and Kaltofen, Erich L. and Zhi, Lihong", @@ -485,11 +956,41 @@ The third section sorts papers by topic. pages = "227--234", month = "July", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/10/HKZ10.pdf", - paper = "Hutt10.pdf" -} - -\end{chunk} - + paper = "Hutt10.pdf", + abstract = " + We give a stability criterion for real polynomial inequalities with + floating point or inexact scalars by estimating from below or + computing the radius of semdefiniteness. That radious is the maximum + deformation of the polynomial coefficent vector measured in a weighted + Euclidean vector norm within which the inequality remains true. A + large radius means that the inequalities may be considered numerically + valid. + + The radius of positive (or negative) semidefiniteness is the distance + to the nearest polynomial with a real root, which has been thoroughly + studied before. We solve this problem by parameterized Lagrangian + multipliers and Karush-Kuhn-Tucker conditions. Our algorithms can + compute the radius for several simultaneous inequalities including + possibly additional linear coefficient constraints. Our distance + measure is the weighted Euclidena coefficient norm, but we also + discuss several formulas for the weighted infinity and 1-norms. + + The computation of the nearest polynomial with a real root can be + interpreted as a dual of Seidenberg's method that decides if a real + hypersurface contains a real point. Sums-of-squares rational lower + bound certificates for the radius of semidefinitesness provide a new + approach to solving Seidenberg's problem, especially when the + coeffcients are numeric. They also offer a surprising alternative + sum-of-squares proof for those polynomials that themselves cannot be + represented by a polynomial sum-of-squares but that have a positive + distance to the nearest indefinte polynomial." +} + +\end{chunk} + +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt09, author = "Kaltofen, Erich and Yang, Zhengfeng and Zhi, Lihong", @@ -500,11 +1001,24 @@ The third section sorts papers by topic. crossref = "SNC09", pages = "65--69", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/09/KYZ09.pdf", - paper = "Kalt09.pdf" + paper = "Kalt09.pdf", + abstract = " + For a proof of the monotone column permanent (MCP) conjecture for + dimension 4 it is sufficient to show that 4 polynomials, which come + rom the permanents of real marices, are nonnegative for all real + values of the variables, where the degrees and the number of the + variables of these polynomials are all 8. Here we apply a hybrid + symbolic-numerical algorithm for certifying that these polynomials can + be written as an exact fraction of two polynomial sums-of-squares + (SOS) with rational coefficients." } \end{chunk} +\index{Kaltofen, Erich} +\index{Li, Bin} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @Article{Kalt12, author = "Kaltofen, Erich L. and Li, Bin and Yang, Zhengfeng and @@ -519,11 +1033,35 @@ The third section sorts papers by topic. number = "1", pages = "1--15", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/09/KLYZ09.pdf", - paper = "Kalt12.pdf" + paper = "Kalt12.pdf", + abstract = " + We present a hybrid symbolic-numeric algorithm for certifying a + polynomial or rational function with rational coefficients to be + non-negative for all real values of the variables by computing a + representation for it as a fraction of two polynomial sum-of-squares + (SOS) with rational coeficients. Our new approach turns the earlier + methods by Peyrl and Parrilo and SCN'07 and ours at ISSAC'08 both + based on polynomial SOS, which do not always exist, into a universal + algorithm for all inputs via Artin's theorem. + + Furthermore, we scrutinize the all-important process of converting the + numerical SOS numerators and denomiators produced by block + semidefinite programming into an exact rational identity. We improve + on our own Newton iteration-based high precision refinement algorithm + by compressing the initial Gram matrices and by deploying rational + vector recovery aside from orthogonal projection. We successfully + demenstrate our algorithm on 1. various exceptional SOS problems with + necessary polynomial denominators from the literature and on 2. very + large (thousands of variables) SOS lower bound certificates for Rump's + model problem (up to $n=18$, factor degree $=17$)." } \end{chunk} +\index{Kaltofen, Erich} +\index{Li, Bin} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt08b, author = "Kaltofen, Erich and Li, Bin and Yang, Zhengfeng and Zhi, Lihong", @@ -535,11 +1073,34 @@ The third section sorts papers by topic. crossref = "ISSAC08", pages = "155--163", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/08/KLYZ08.pdf", - paper = "Kalt08b.pdf" + paper = "Kalt08b.pdf", + abstract = " + We generalize the technique by Peyrl and Parillo [Proc. SNC 2007] to + computing lower bound certificates for several well-known + factorization problems in hybrid symbolic-numeric computation. The + idea is to transform a numerical sum-of-squares (SOS) representation + of a positive polynomial into an exact rational identity. Our + algorithms successfully certify accurate rational lower bounds near + the irrational global optima for benchmark approximate polynomial + greatest common divisors and multivariate polynomial irreducibility + radii from the literature, and factor coefficient bounds in the + setting of a model problem by Rump (up to $n=14$, factor degree $=13$). + + The numeric SOSes produced by the current fixed precision + semi-definite programming (SDP) packages (SeDuMi, SOSTOOLS, YALMIP) + are usually too coarse to allow successful projection to exact SOSes + via Maple 11's exact linear algebra. Therefore, before projection we + refine the SOSes by rank-preserving Newton iteration. For smaller + problems the starting SOSes for Newton can be guessed without SDP + (``SDP-free SOS''), but for larger inputs we additionally appeal to + sparsity techniques in our SDP formulation." } \end{chunk} +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt06b, author = "Kaltofen, Erich and Yang, Zhengfeng and Zhi, Lihong", @@ -550,11 +1111,35 @@ The third section sorts papers by topic. crossref = "ISSAC06", pages = "169--176", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/06/KYZ06.pdf", - paper = "Kalt06b.pdf" -} - -\end{chunk} - + paper = "Kalt06b.pdf", + abstract = " + We consider the problem of computing minimal real or complex + deformations to the coefficients in a list of relatively prime real or + complex multivariate polynomials such that the deformed polynomials + have a greatest common divisor (GCD) of a least a given degree $k$. In + addition, we restrict the deformed coefficients by a given set of + linear constraints, thus introducing the {\sl linearly constrained + aproximate GCD} problem. We present an algorithm based on a version + of the structured total least norm (STLN) method and demonstrate, on a + diverse set of benchmark polynomials, that the algorithm in practice + computes globally minimal approximations. As an application of the + linearly constrained approximate GCD problem, we present an STLN-based + method that computes for a real or complex polynomial the nearest real + or complex polynomial the nearest real or complex polynomial that has + a root of multiplicity at least $k$. We demonstrate that the + algorithm in practice computes, on the benchmark polynomials given in + the literate, the known globally optimal nearest singular + polynomials. Our algorithms can handle, via randomized + preconditioning, the difficult case when the nearest solution to a + list of real input polynomials actually has non-real complex + coefficients." +} + +\end{chunk} + +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InCollection{Kalt05, author = "Kaltofen, Erich and Yang, Zhengfeng and Zhi, Lihong", @@ -564,11 +1149,27 @@ The third section sorts papers by topic. pages = "69--83", year = "2005", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/05/KYZ05.pdf", - paper = "Kalt05.pdf" + paper = "Kalt05.pdf", + abstract = " + The task of determining the approximate greatest common divisor (GCD) + of univariate polynomials with inexact coefficients can be formulated + as computing for a given Sylvester matrix a new Sylvester matrix of + lower rank whose entries are near the corresponding entries of that + input matrix. We solve the approximate GCD problem by a new method + based on structured total least norm (STLN) algorithms, in our case + for matrices with Sylvester structure. We present iterative algorithms + that compute an approximate GCD and that can certify an approximate + $\epsilon$-GCD when a tolerence $\epsilon$ is given on input. Each + single iteration is carried out with a number of floating point + operations that is of cubic order in the input degrees. We also + demonstrate the practical performance of our algorithms on a diverse + set of univariate pairs of polynomials." } \end{chunk} +\index{Kaltofen, Erich} +\index{May, John} \begin{chunk}{axiom.bib} @InProceedings{Kalt03a, author = "Kaltofen, Erich and May, John", @@ -578,14 +1179,30 @@ The third section sorts papers by topic. crossref = "ISSAC03", pages = "161--168", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/03/KM03.pdf", - paper = "Kalt03a.pdf" + paper = "Kalt03a.pdf", + abstract = " + We study the problem of bounding all factorizable polynomials away + from a polynomial that is absolutely irreducible. Such separation + bounds are useful for testing whether a numerical polynomial is + absolutely irreducible, given a certain tolerance on its coefficients + Using an absolute irreducibility criterion due to Ruppert, we are able + to find useful separation bounds, in several norms, for bivariate + polynomials. We also use Ruppert's criterion to derive new, more + effective Noether forms for polynomials of arbitrarily many + variables. These forms lead to small separation bounds for polynomials + of arbitrarily many variables." } \end{chunk} +\index{Gao, Shuhong} +\index{Kaltofen, Erich} +\index{May, John} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Gao04a, - author = "Shuhong, Gao and Kaltofen, Erich and May, John P. and + author = "Gao, Shuhong and Kaltofen, Erich and May, John P. and Yang, Zhengfeng and Zhi, Lihong", title = "Approximate factorization of multivariate polynomials via differential equations", @@ -594,11 +1211,31 @@ The third section sorts papers by topic. crossref = "ISSAC04", pages = "167--174", url = "http://www.math.ncsu.edu/~kaltofen/bibliography/04/GKMYZ04.pdf", - paper = "Gao04a.pdf" + paper = "Gao04a.pdf", + abstract = " + The input to our algorithm is a multivariate polynomial, whose complex + rational coefficient are considered imprecise with an unknown error + that causes $f$ to be irreducible over the complex numbers {\bf C}. + We seek to perturb the coefficients by a small quantity such that the + resulting polynomial factors over {\bf C}. Ideally, one would like to + minimize the perturbation in some selected distance measure, but no + efficient algorithm for that is known. We give a numerical + multivariate greatest common divisor algorithm and use it on a + numerical variant of algorithms by W. M. Ruppert and S. Gao. Our + numerical factorizer makes repeated use of singular value + decompositions. We demonstrate on a significant body of experimental + data that our algorithm is practical and can find factorizable + polynomials within a distance that is about the same in relative + magnitude as the input error, even when the relative error in the + input is substantial ($10^{-3})." } \end{chunk} +\index{Kaltofen, Erich} +\index{May, John} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @Article{Kalt08, author = "Kaltofen, Erich and May, John and Yang, Zhengfeng and Zhi, Lihong", @@ -615,6 +1252,9 @@ The third section sorts papers by topic. \end{chunk} +\index{Hitz, M.A.} +\index{Kaltofen, Erich} +\index{Lakshman, Yagati N.} \begin{chunk}{axiom.bib} @InProceedings{Hitz99, author = "Hitz, M.A. and Kaltofen, E. and Lakshman, Y.N.", @@ -630,6 +1270,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Hitz, M.A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Hitz98, author = "Hitz, M. A. and Kaltofen, E.", @@ -647,6 +1289,10 @@ The third section sorts papers by topic. \section{Software Systems} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Diaz, A.} +\index{Kaltofen, Erich} +\index{Schmitz, K.} +\index{Valente, T.} \begin{chunk}{axiom.bib} @InProceedings{Diaz91, author = "Diaz, A.; Kaltofen,E.; Schmitz, K.; Valente, T.", @@ -661,6 +1307,9 @@ The third section sorts papers by topic. \end{chunk} +\index{Chan, K.C.} +\index{Diaz, A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Chan94, author = "Chan, K.C. and Diaz, A. and Kaltofen, E.", @@ -678,6 +1327,15 @@ The third section sorts papers by topic. \end{chunk} +\index{Dumas, Jean-Guillaume} +\index{Gautier, T.} +\index{Giesbrecht, Mark} +\index{Giorgi, P.} +\index{Hovinen, B.} +\index{Kaltofen, Erich} +\index{Saunders, B. David} +\index{Turner, W.J.} +\index{Villard, Gilles} \begin{chunk}{axiom.bib} @InProceedings{Duma02, author = "Dumas, J.-G. and Gautier, T. and Giesbrecht, M. and Giorgi, P. @@ -695,6 +1353,9 @@ The third section sorts papers by topic. \end{chunk} +\index{Kaltofen, Erich} +\index{Morozov, Dmitriy} +\index{Yuhasz, George} \begin{chunk}{axiom.bib} @InProceedings{Kalt05a, author = "Kaltofen, Erich and Morozov, Dmitriy and Yuhasz, George", @@ -709,6 +1370,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Diaz, A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Diaz98, author = "Diaz, A. and Kaltofen, E.", @@ -724,6 +1387,10 @@ The third section sorts papers by topic. \end{chunk} +\index{Diaz, A.} +\index{Kaltofen, Erich} +\index{Lobo, A.} +\index{Valente, T.} \begin{chunk}{axiom.bib} @InProceedings{Diaz93, author = "Diaz, A. and Kaltofen, E. and Lobo, A. and Valente, T.", @@ -742,10 +1409,15 @@ The third section sorts papers by topic. \end{chunk} +\index{Diaz, A.} +\index{Hitz, M.A.} +\index{Kaltofen, Erich} +\index{Lobo, A.} +\index{Valente, T.} \begin{chunk}{axiom.bib} @Article{Diaz95a, author = "Diaz, A. and Hitz, M. and Kaltofen, E. and Lobo, A. and - Valtente, T.", + Valente, T.", title = "Process scheduling in {DSC} and the large sparse linear systems challenge", journal = "Journal of Symbolic Computing", @@ -759,6 +1431,10 @@ The third section sorts papers by topic. \end{chunk} +\index{Freeman, T.S.} +\index{Imirzian, G.} +\index{Kaltofen, Erich} +\index{Lakshman, Yagati N.} \begin{chunk}{axiom.bib} @Article{Free88, author = "Freeman, T.S. and Imirzian, G. and Kaltofen, E. and @@ -778,6 +1454,7 @@ The third section sorts papers by topic. \section{The Seven Dwarfs} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt10a, author = "Kaltofen, Erich L.", @@ -796,6 +1473,7 @@ The third section sorts papers by topic. \section{Solving Systems of Equations} %%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @inproceedings{Bro86, author = "Bronstein, Manuel", @@ -817,6 +1495,7 @@ The third section sorts papers by topic. \section{Numerical Algorithms} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Bronstein, Manuel} \begin{chunk}{ignore} {Bro99, author = "Bronstein, Manuel", @@ -840,6 +1519,7 @@ The third section sorts papers by topic. \end{chunk} +\index{Kelsey, Tom} \begin{chunk}{ignore} {Kel00, author = "Kelsey, Tom", @@ -858,6 +1538,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Yang, Xiang} +\index{Mittal, Rajat} \begin{chunk}{ignore} {Yang14, author ="Yang, Xiang and Mittal, Rajat", @@ -872,6 +1554,11 @@ The third section sorts papers by topic. \section{Special Functions} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Corless, Robert M.} +\index{Jeffrey, David J.} +\index{Watt, Stephen M.} +\index{Bradford, Russell} +\index{Davenport, James H.} \begin{chunk}{ignore} {Corl0, author = "Corless, Robert M. and Jeffrey, David J. and Watt, Stephen M. @@ -893,6 +1580,8 @@ The third section sorts papers by topic. \end{chunk} +\index{Ng, Edward W.} +\index{Geller, Murray} \begin{chunk}{ignore} {Ng68, author = "Ng, Edward W. and Geller, Murray", @@ -908,6 +1597,8 @@ The third section sorts papers by topic. \section{Exponential Integral $E_1(x)$} %%%%%%%%%%%%%%%%%%%%%%%%% +\index{Geller, Murray} +\index{Ng, Edward W.} \begin{chunk}{ignore} {Gell69, author = "Geller, Murray and Ng, Edward W.", @@ -921,6 +1612,7 @@ The third section sorts papers by topic. \end{chunk} +\index{Segletes, S.B.} \begin{chunk}{axiom.bib} @techreport{Segl98, author = "Segletes, S.B.", @@ -954,6 +1646,7 @@ The third section sorts papers by topic. \end{chunk} +\index{Segletes, S.B.} \begin{chunk}{axiom.bib} @techreport{Se09, author = "Segletes, S.B.", @@ -983,6 +1676,8 @@ The third section sorts papers by topic. \section{Polynomial GCD} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} +\index{Monagan, Michael B.} \begin{chunk}{axiom.bib} @InProceedings{Kalt99a, author = "Kaltofen, E. and Monagan, M.", @@ -997,6 +1692,7 @@ The third section sorts papers by topic. \end{chunk} +\index{Knuth, Donald E.} \begin{chunk}{ignore} \bibitem[Knuth 71]{ST-PGCD-Knu71} Knuth, Donald ``The Art of Computer Programming'' @@ -1005,8 +1701,10 @@ Addison-Wesley 1971, section 4.6 pp399-505 \end{chunk} +\index{Ma, Keju} +\index{von zur Gathen, Joachim} \begin{chunk}{ignore} -\bibitem[Ma 90]{ST-PGCD-Ma90} Ma, Keju; Gathen, Joachim von zur +\bibitem[Ma 90]{ST-PGCD-Ma90} Ma, Keju; {von zur Gathen}, Joachim ``Analysis of Euclidean Algorithms for Polynomials over Finite Fields'' J. Symbolic Computation (1990) Vol 9 pp429-455\hfill{} \verb|www.researchgate.net/publication/220161718_Analysis_of_Euclidean_| @@ -1022,6 +1720,7 @@ J. Symbolic Computation (1990) Vol 9 pp429-455\hfill{} \end{chunk} +\index{Naylor, William A.} \begin{chunk}{ignore} \bibitem[Naylor 00a]{N00} Naylor, Bill ``Polynomial GCD Using Straight Line Program Representation'' @@ -1061,6 +1760,7 @@ PhD. Thesis, University of Bath, 2000 \end{chunk} +\index{Shoup, Victor} \begin{chunk}{ignore} \bibitem[Shoup 93]{ST-PGCD-Sh93} Shoup, Victor ``Factoring Polynomials over Finite Fields: Asymptotic Complexity vs @@ -1079,8 +1779,10 @@ Proc. IMACS Symposium, Lille, France, (1993) \end{chunk} +\index{von zur Gathen, Joachim} +\index{Panario, Daniel} \begin{chunk}{ignore} -\bibitem[Gathen 01]{ST-PGCD-Ga01} Gathen, Joachim von zur; Panario, Daniel +\bibitem[Gathen 01]{ST-PGCD-Ga01} von zur Gathen, Joachim; Panario, Daniel ``Factoring Polynomials Over Finite Fields: A Survey'' J. Symbolic Computation (2001) Vol 31, pp3-17\hfill{} \verb|people.csail.mit.edu/dmoshdov/courses/codes/poly-factorization.pdf| @@ -1097,8 +1799,10 @@ J. Symbolic Computation (2001) Vol 31, pp3-17\hfill{} \end{chunk} +\index{van Hoeij, Mark} +\index{Monagan, Michael} \begin{chunk}{ignore} -\bibitem[van Hoeij]{Hoeij04} Hoeij, Mark van; Monagen, Michael +\bibitem[van Hoeij]{Hoeij04} {van Hoeij}, Mark; Monagan, Michael ``Algorithms for Polynomial GCD Computation over Algebraic Function Fields'' \verb|www.cecm.sfu.ca/personal/mmonagan/papers/AFGCD.pdf| %\verb|axiom-developer.org/axiom-website/papers/Hoeij04.pdf| @@ -1116,6 +1820,7 @@ J. Symbolic Computation (2001) Vol 31, pp3-17\hfill{} \end{chunk} +\index{Wang, Paul S.} \begin{chunk}{ignore} \bibitem[Wang 78]{Wang78} Wang, Paul S. ``An Improved Multivariate Polynomial Factoring Algorithm'' @@ -1147,6 +1852,8 @@ Mathematics of Computation, Vol 32, No 144 Oct 1978, pp1215-1231 \section{Category Theory} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Baez, John C.} +\index{Stay, Mike} \begin{chunk}{ignore} \bibitem[Baez 09]{Baez09} Baez, John C.; Stay, Mike ``Physics, Topology, Logic and Computation: A Rosetta Stone'' @@ -1170,6 +1877,9 @@ Mathematics of Computation, Vol 32, No 144 Oct 1978, pp1215-1231 \end{chunk} +\index{Meijer, Erik} +\index{Fokkinga, Maarten} +\index{Paterson, Ross} \begin{chunk}{ignore} \bibitem[Meijer 91]{Meij91} Meijer, Erik; Fokkinga, Maarten; Paterson, Ross ``Functional Programming with Bananas, Lenses, Envelopes and Barbed Wire'' @@ -1185,6 +1895,7 @@ Mathematics of Computation, Vol 32, No 144 Oct 1978, pp1215-1231 \end{chunk} +\index{Youssef, Saul} \begin{chunk}{ignore} \bibitem[Youssef 04]{You04} Youssef, Saul ``Prospects for Category Theory in Aldor'' @@ -1201,6 +1912,10 @@ October 2004 \section{Proving Axiom Correct} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Adams, Andrew A.} +\index{Gottlieben, Hanne} +\index{Linton, Steve A.} +\index{Martin, Ursula} \begin{chunk}{ignore} \bibitem[Adams 99]{Adam99} Adams, A.A.; Gottlieben, H.; Linton, S.A.; Martin, U. @@ -1227,6 +1942,12 @@ Martin, U. \end{chunk} +\index{Adams, Andrew A.} +\index{Dunstan, Martin} +\index{Gottlieben, Hanne} +\index{Kelsey, Tom} +\index{Martin, Ursula} +\index{Owre, Sam} \begin{chunk}{ignore} \bibitem[Adams 01]{Adam01} Adams, Andrew; Dunstan, Martin; Gottliebsen, Hanne; Kelsey, Tom; Martin, Ursula; Owre, Sam @@ -1245,6 +1966,7 @@ Kelsey, Tom; Martin, Ursula; Owre, Sam \end{chunk} +\index{Mahboubi, Assia} \begin{chunk}{axiom.bib} @article{Mahb06, author = "Mahboubi, Assia", @@ -1264,6 +1986,8 @@ Kelsey, Tom; Martin, Ursula; Owre, Sam \end{chunk} +\index{Ballarin, Clemens} +\index{Paulson, Lawrence C.} \begin{chunk}{ignore} \bibitem[Ballarin 99]{Ball99} Ballarin, Clemens; Paulson, Lawrence C. ``A Pragmatic Approach to Extending Provers by Computer Algebra -- @@ -1292,6 +2016,8 @@ Kelsey, Tom; Martin, Ursula; Owre, Sam \end{chunk} +\index{Bertot, Yves} +\index{Cast\'eran, Pierre} \begin{chunk}{ignore} \bibitem[Bertot 04]{Bert04} Bertot, Yves; Cast\'eran, Pierre ``Interactive Theorem Proving and Program Development'' @@ -1310,6 +2036,9 @@ Springer ISBN 3-540-20854-2 \end{chunk} +\index{Boulm\'e, S.} +\index{Hardin, T.} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Boulme 00]{BHR00} Boulm\'e, S.; Hardin, T.; Rioboo, R. ``Polymorphic Data Types, Objects, Modules and Functors,: is it too much?'' @@ -1330,6 +2059,11 @@ Springer ISBN 3-540-20854-2 \end{chunk} +\index{Boulm\'e, S.} +\index{Hardin, T.} +\index{Hirschkoff, D.} +\index{Rioboo, Renaud} +\index{M\'enissier-Morain, V.} \begin{chunk}{ignore} \bibitem[Boulme 01]{BHHMR01} Boulm\'e, S.; Hardin, T.; Hirschkoff, D.; M\'enissier-Morain, V.; Rioboo, R. @@ -1356,6 +2090,7 @@ Calculemus-2001 \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore} \bibitem[Daly 10]{Daly10} Daly, Timothy ``Intel Instruction Semantics Generator'' @@ -1369,6 +2104,10 @@ Calculemus-2001 \end{chunk} +\index{Danielsson, Nils Anders} +\index{Hughes, John} +\index{Jansson, Patrik} +\index{Gibbons, Jeremy} \begin{chunk}{ignore} \bibitem[Danielsson 06]{Dani06} Danielsson, Nils Anders; Hughes, John; Jansson, Patrik; Gibbons, Jeremy @@ -1396,6 +2135,10 @@ ACM POPL'06 January 2005, Charleston, South Carolina, USA \end{chunk} +\index{Davenport, James H.} +\index{Bradford, Russell} +\index{England, Matthew} +\index{Wilson, David} \begin{chunk}{ignore} \bibitem[Davenport 12]{Davenp12} Davenport, James H.; Bradford, Russell; England, Matthew; Wilson, David @@ -1425,6 +2168,8 @@ branch cuts etc.'' \end{chunk} +\index{Dolzmann, Andreas} +\index{Sturm, Thomas} \begin{chunk}{ignore} \bibitem[Dolzmann 97]{Dolz97} Dolzmann, Andreas; Sturm, Thomas ``Guarded Expressions in Practice'' @@ -1447,6 +2192,9 @@ branch cuts etc.'' \end{chunk} +\index{Dos Reis, Gabriel} +\index{Matthews, David} +\index{Li, Yue} \begin{chunk}{ignore} \bibitem[Dos Reis 11]{DR11} Dos Reis, Gabriel; Matthews, David; Li, Yue ``Retargeting OpenAxiom to Poly/ML: Towards an Integrated Proof Assistants @@ -1466,6 +2214,7 @@ Calculemus (2011) Springer \end{chunk} +\index{Dunstan, Martin} \begin{chunk}{ignore} \bibitem[Dunstan 00a]{Dun00a} Dunstan, Martin N. ``Adding Larch/Aldor Specifications to Aldor'' @@ -1481,6 +2230,10 @@ Calculemus (2011) Springer \end{chunk} +\index{Dunstan, Martin} +\index{Kelsey, Tom} +\index{Linton, Steve A.} +\index{Martin, Ursula} \begin{chunk}{ignore} \bibitem[Dunstan 98]{Dun98} Dunstan, Martin; Kelsey, Tom; Linton, Steve; Martin, Ursula @@ -1495,6 +2248,7 @@ Martin, Ursula \end{chunk} +\index{Dunstan, Martin} \begin{chunk}{ignore} \bibitem[Dunstan 99a]{Dun99a} Dunstan, MN ``Larch/Aldor - A Larch BISL for AXIOM and Aldor'' @@ -1515,6 +2269,10 @@ PhD Thesis, 1999 \end{chunk} +\index{Dunstan, Martin} +\index{Kelsey, Tom} +\index{Martin, Ursula} +\index{Linton, Steve A.} \begin{chunk}{ignore} \bibitem[Dunstan 00]{Dun00} Dunstan, Martin; Kelsey, Tom; Martin, Ursula; Linton, Steve @@ -1531,6 +2289,9 @@ FME'99, Toulouse, France, Sept 20-24, 1999, pp 1758-1777 \end{chunk} +\index{Hardin, David S.} +\index{McClurg, Jedidiah R.} +\index{Davis, Jennifer A.} \begin{chunk}{axiom.bib} @misc{Hard13, author = "Hardin, David S. and McClurg, Jedidiah R. and Davis, Jennifer A.", @@ -1548,6 +2309,10 @@ FME'99, Toulouse, France, Sept 20-24, 1999, pp 1758-1777 \end{chunk} +\index{Hardin, David S.} +\index{Davis, Jennifer A.} +\index{Greve, David A.} +\index{McClurg, Jedidiah R.} \begin{chunk}{axiom.bib} @misc{Hard14, author = "Hardin, David S. and Davis, Jennifer A. and Greve, David A. and @@ -1578,6 +2343,7 @@ FME'99, Toulouse, France, Sept 20-24, 1999, pp 1758-1777 \end{chunk} +\index{Lamport, Leslie} \begin{chunk}{ignore} \bibitem[Lamport 02]{Lamp02} Lamport, Leslie ``Specifying Systems'' @@ -1587,6 +2353,8 @@ Addison-Wesley ISBN 0-321-14306-X \end{chunk} +\index{Martin, Ursula} +\index{Shand, D.} \begin{chunk}{ignore} \bibitem[Martin 97]{Mart97} Martin, U.; Shand, D. ``Investigating some Embedded Verification Techniques for Computer @@ -1605,6 +2373,7 @@ Addison-Wesley ISBN 0-321-14306-X \end{chunk} +\index{Mason, Ian A.} \begin{chunk}{axiom.bib} @book{Maso86, author = "Mason, Ian A.", @@ -1627,6 +2396,12 @@ Addison-Wesley ISBN 0-321-14306-X \end{chunk} +\index{Newcombe, Chris} +\index{Rath, Tim} +\index{Zhang, Fan} +\index{Munteanu, Bogdan} +\index{Brooker, Marc} +\index{Deardeuff, Michael} \begin{chunk}{ignore} \bibitem[Newcombe 13]{Newc13} Newcombe, Chris; Rath, Tim; Zhang, Fan; Munteanu, Bogdan; Brooker, Marc; Deardeuff, Michael @@ -1658,6 +2433,7 @@ Munteanu, Bogdan; Brooker, Marc; Deardeuff, Michael \end{chunk} +\index{Poll, Erik} \begin{chunk}{ignore} \bibitem[Poll 99a]{P99a} Poll, Erik ``The Type System of Axiom'' @@ -1669,6 +2445,8 @@ Munteanu, Bogdan; Brooker, Marc; Deardeuff, Michael \end{chunk} +\index{Poll, Erik} +\index{Thompson, Simon} \begin{chunk}{ignore} \bibitem[Poll 99]{PT99} Poll, Erik; Thompson, Simon ``The Type System of Aldor'' @@ -1682,6 +2460,8 @@ Munteanu, Bogdan; Brooker, Marc; Deardeuff, Michael \end{chunk} +\index{Poll, Erik} +\index{Thompson, Simon} \begin{chunk}{ignore} \bibitem[Poll (a)]{PTxx} Poll, Erik; Thompson, Simon ``Adding the axioms to Axiom. Toward a system of automated reasoning in @@ -1714,6 +2494,8 @@ Aldor'' \end{chunk} +\index{Poll, Erik} +\index{Thompson, Simon} \begin{chunk}{ignore} \bibitem[Poll 00]{PT00} Poll, Erik; Thompson, Simon ``Integrating Computer Algebra and Reasoning through the Type System @@ -1734,6 +2516,10 @@ of Aldor'' \section{Interval Arithmetic} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Boehm, Hans-J.} +\index{Cartwright, Robert} +\index{Riggle, Mark} +\index{O'Donnell, Michael J.} \begin{chunk}{ignore} \bibitem[Boehm 86]{Boe86} Boehm, Hans-J.; Cartwright, Robert; Riggle, Mark; O'Donnell, Michael J. @@ -1743,6 +2529,7 @@ O'Donnell, Michael J. \end{chunk} +\index{Briggs, Keith} \begin{chunk}{ignore} \bibitem[Briggs 04]{Bri04} Briggs, Keith ``Exact real arithmetic'' @@ -1751,6 +2538,8 @@ O'Donnell, Michael J. \end{chunk} +\index{Fateman, Richard J.} +\index{Yan, Tak W.} \begin{chunk}{ignore} \bibitem[Fateman 94]{Fat94} Fateman, Richard J.; Yan, Tak W. ``Computation with the Extended Rational Numbers and an Application to @@ -1769,6 +2558,7 @@ Interval Arithmetic'' \end{chunk} +\index{Lambov, Branimir} \begin{chunk}{axiom.bib} @incollection{Lamb06, author = "Lambov, Branimir", @@ -1784,6 +2574,9 @@ Interval Arithmetic'' \section{Numerics} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Atkinson, Kendall} +\index{Han, Welmin} +\index{Stewear, David} \begin{chunk}{ignore} \bibitem[Atkinson 09]{Atk09} Atkinson, Kendall; Han, Welmin; Stewear, David ``Numerical Solution of Ordinary Differential Equations'' @@ -1806,6 +2599,8 @@ Interval Arithmetic'' \end{chunk} +\index{Crank, J.} +\index{Nicolson, P.} \begin{chunk}{ignore} \bibitem[Crank 96]{Cran96} Crank, J.; Nicolson, P. ``A practical method for numerical evaluations of solutions of partial @@ -1817,6 +2612,9 @@ Advances in Computational Mathematics Vol 6 pp207-226 (1996) \end{chunk} +\index{Lef\'evre, Vincent} +\index{Stehl\'e, Damien} +\index{Zimmermann, Paul} \begin{chunk}{ignore} \bibitem[Lef\'evre 06]{Lef06} Lef\'evre, Vincent; Stehl\'e, Damien; Zimmermann, Paul @@ -1842,9 +2640,10 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{Hamming, R W.} \begin{chunk}{axiom.bib} @book{Hamm62, - author = "Hamming R W.", + author = "Hamming, R W.", title = "Numerical Methods for Scientists and Engineers", publisher = "Dover", year = "1973", @@ -1855,6 +2654,7 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \section{Advanced Documentation} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Bostock, Mike} \begin{chunk}{ignore} \bibitem [Bostock 14]{Bos14} Bostock, Mike ``Visualizing Algorithms'' @@ -1865,8 +2665,9 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{van Leeuwen, Andr\'e M.A.} \begin{chunk}{ignore} -\bibitem[Leeuwen]{Leexx} van Leeuwen, Andr\'e M.A. +\bibitem[Leeuwen]{Leexx} {van Leeuwen}, Andr\'e M.A. ``Representation of mathematical object in interactive books'' %\verb|axiom-developer.org/axiom-website/papers/Leexx.pdf| abstract = " @@ -1886,6 +2687,7 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{Soiffer, Neil Morrell} \begin{chunk}{ignore} \bibitem[Soiffer 91]{Soif91} Soiffer, Neil Morrell ``The Design of a User Interface for Computer Algebra Systems'' @@ -1903,6 +2705,7 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{Victor, Bret} \begin{chunk}{ignore} \bibitem[Victor 11]{Vict11} Victor, Bret ``Up and Down the Ladder of Abstraction'' @@ -1914,6 +2717,7 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{Victor, Bret} \begin{chunk}{ignore} \bibitem[Victor 12]{Vict12} Victor, Bret ``Inventing on Principle'' @@ -1928,6 +2732,7 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \section{Differential Equations} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt84, author = "Kaltofen, E.", @@ -1942,6 +2747,9 @@ in Lecture Notes in Computer Science, Springer ISBN 978-3-540-85520-0 \end{chunk} +\index{Abramov, Sergei A.} +\index{Bronstein, Manuel} +\index{Petkovsek, Marko} \begin{chunk}{ignore} \bibitem[Abramov 95]{Abra95} Abramov, Sergei A.; Bronstein, Manuel; Petkovsek, Marko @@ -1951,6 +2759,8 @@ Petkovsek, Marko \end{chunk} +\index{Abramov, Sergei A.} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Abramov 01]{Abra01} Abramov, Sergei; Bronstein, Manuel ``On Solutions of Linear Functional Systems'' @@ -1969,6 +2779,7 @@ Petkovsek, Marko \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 96b]{Bro96b} Bronstein, Manuel ``On the Factorization of Linear Ordinary Differential Operators'' @@ -1984,6 +2795,8 @@ Mathematics and Computers in Simulation 42 pp 387-389 (1996) \end{chunk} +\index{Bronstein, Manuel} +\index{Petkovsek, Marko} \begin{chunk}{ignore} \bibitem[Bronstein 96a]{Bro96a} Bronstein, Manuel; Petkovsek, Marko ``An introduction to pseudo-linear algebra'' @@ -2001,6 +2814,7 @@ Theoretical Computer Science V157 pp3-33 (1966) \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein xb]{Broxb} Bronstein, Manuel ``Computer Algebra Algorithms for Linear Ordinary Differential and @@ -2017,6 +2831,7 @@ Difference equations'' \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 94]{Bro94} Bronstein, Manuel ``An improved algorithm for factoring linear ordinary differential @@ -2036,6 +2851,7 @@ operators'' \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 90]{Bro90} Bronstein, Manuel ``On Solutions of Linear Ordinary Differential Equations in their @@ -2054,6 +2870,7 @@ Coefficient Field'' \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 96]{Bro96} Bronstein, Manuel ``$\sum^{IT}$ -- A strongly-typed embeddable computer algebra library'' @@ -2072,6 +2889,7 @@ Coefficient Field'' \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 99a]{Bro99a} Bronstein, Manuel ``Solving linear ordinary differential equations over @@ -2089,6 +2907,7 @@ $C(x,e^{\int{f(x)dx}})$ \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 00]{Bro00} Bronstein, Manuel ``On Solutions of Linear Ordinary Differential Equations in their @@ -2112,6 +2931,8 @@ $C(x,e^{\int{f(x)dx}})$ \end{chunk} +\index{Bronstein, Manuel} +\index{Lafaille, S\'ebastien} \begin{chunk}{ignore} \bibitem[Bronstein 02]{Bro02} Bronstein, Manuel; Lafaille, S\'ebastien ``Solutions of linear ordinary differential equations in terms of @@ -2135,6 +2956,8 @@ special functions'' \end{chunk} +\index{Bronstein, Manuel} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Bronstein 03]{Bro03} Bronstein, Manuel; Trager, Barry M. ``A Reduction for Regular Differential Systems'' @@ -2152,6 +2975,8 @@ special functions'' \end{chunk} +\index{Bronstein, Manuel} +\index{Sol\'e, Patrick} \begin{chunk}{ignore} \bibitem[Bronstein 03a]{Bro03a} Bronstein, Manuel; Sol\'e, Patrick ``Linear recurrences with polynomial coefficients'' @@ -2166,6 +2991,9 @@ special functions'' \end{chunk} +\index{Bronstein, Manuel} +\index{Li, Ziming} +\index{Wu, Min} \begin{chunk}{ignore} \bibitem[Bronstein 05]{Bro05} Bronstein, Manuel; Li, Ziming; Wu, Min ``Picard-Vessiot Extensions for Linear Functional Systems'' @@ -2182,6 +3010,7 @@ special functions'' \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 86]{Dav86} Davenport, J.H. ``The Risch Differential Equation Problem'' @@ -2204,8 +3033,9 @@ SIAM J. COMPUT. Vol 15, No. 4 1986 \end{chunk} +\index{Singer, Michael F.} \begin{chunk}{ignore} -\bibitem[Singer 9]{Sing91.pdf} singer, Michael F. +\bibitem[Singer 9]{Sing91.pdf} Singer, Michael F. ``Liouvillian Solutions of Linear Differential Equations with Liouvillian Coefficients'' J. Symbolic Computation V11 No 3 pp251-273 (1991) @@ -2224,16 +3054,18 @@ J. Symbolic Computation V11 No 3 pp251-273 (1991) \end{chunk} +\index{von Mohrenschildt, Martin} \begin{chunk}{ignore} -\bibitem[Von Mohrenschildt 94]{Mohr94} Von Mohrenschildt, Martin +\bibitem[Von Mohrenschildt 94]{Mohr94} {von Mohrenschildt}, Martin ``Symbolic Solutions of Discontinuous Differential Equations'' \verb|e-collection.library.ethz.ch/eserv/eth:39463/eth-39463-01.pdf| %\verb|axiom-developer.org/axiom-website/papers/Mohr94.pdf| \end{chunk} +\index{von Mohrenschildt, Martin} \begin{chunk}{ignore} -\bibitem[Von Mohrenschildt 98]{Mohr98} Von Mohrenschildt, Martin +\bibitem[Von Mohrenschildt 98]{Mohr98} von Mohrenschildt, Martin ``A Normal Form for Function Rings of Piecewise Functions'' J. Symbolic Computation (1998) Vol 26 pp607-619 \verb|www.cas.mcmaster.ca/~mohrens/JSC.pdf| @@ -2255,6 +3087,7 @@ J. Symbolic Computation (1998) Vol 26 pp607-619 \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 06]{Webe06} Weber, Andreas ``Quantifier Elimination on Real Closed Fields and Differential Equations'' @@ -2276,6 +3109,7 @@ J. Symbolic Computation (1998) Vol 26 pp607-619 \end{chunk} +\index{Ulmer, Felix} \begin{chunk}{ignore} \bibitem[Ulmer 03]{Ulm03} Ulmer, Felix ``Liouvillian solutions of third order differential equations'' @@ -2301,6 +3135,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \section{Expression Simplification} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Carette, Jacques} \begin{chunk}{ignore} \bibitem[Carette 04]{Car04} Carette, Jacques ``Understanding Expression Simplification'' @@ -2321,6 +3156,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \section{Integration} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @TechReport{Kalt84b, author = "Kaltofen, E.", @@ -2335,6 +3171,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Adamchik, Victor} \begin{chunk}{ignore} \bibitem[Adamchik xx]{Adamxx} Adamchik, Victor ``Definite Integration'' @@ -2343,6 +3180,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Adamchik, Victor} \begin{chunk}{ignore} \bibitem[Adamchik 97]{Adam97} Adamchik, Victor ``A Class of Logarithmic Integrals'' @@ -2356,6 +3194,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Avgoustis, Ioannis Dimitrios} \begin{chunk}{ignore} \bibitem[Avgoustis 77]{Avgo77} Avgoustis, Ioannis Dimitrios ``Definite Integration using the Generalized Hypergeometric Functions'' @@ -2377,6 +3216,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Baddoura, Mohamed Jamil} \begin{chunk}{ignore} \bibitem[Baddoura 89]{Bad89} Baddoura, Jamil ``A Dilogarithmic Extension of Liouville's Theorem on Integration in Finite @@ -2393,6 +3233,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Baddoura, Mohamed Jamil} \begin{chunk}{ignore} \bibitem[Baddoura 94]{Bad94} Baddoura, Mohamed Jamil ``Integration in Finite Terms with Elementary Functions and Dilogarithms'' @@ -2410,6 +3251,7 @@ J. Symbolic COmputations 36 pp 855-889 (2003) \end{chunk} +\index{Baddoura, Mohamed Jamil} \begin{chunk}{ignore} \bibitem[Baddoura 10]{Bad10} Baddoura, Jamil ``A Note on Symbolic Integration with Polylogarithms'' @@ -2427,6 +3269,7 @@ J. Math Vol 8 pp229-241 (2011) \end{chunk} +\index{Bajpai, S.D.} \begin{chunk}{ignore} \bibitem[Bajpai 70]{Bajp70} Bajpai, S.D. ``A contour integral involving legendre polynomial and Meijer's G-function'' @@ -2441,6 +3284,7 @@ J. Math Vol 8 pp229-241 (2011) \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 89]{Bro89a} Bronstein, M. ``An Algorithm for the Integration of Elementary Functions'' @@ -2458,6 +3302,7 @@ Lecture Notes in Computer Science Vol 378 pp491-497 (1989) \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 90a]{Bro90a} Bronstein, Manuel ``Integration of Elementary Functions'' @@ -2487,6 +3332,7 @@ J. Symbolic Computation (1990) 9, pp117-173 September 1988 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @article{Bron90c, author = "Bronstein, Manuel", @@ -2501,6 +3347,8 @@ J. Symbolic Computation (1990) 9, pp117-173 September 1988 \end{chunk} +\index{Bronstein, Manuel} +\index{Salvy, Bruno} \begin{chunk}{ignore} \bibitem[Bronstein 93]{REF-BS93} Bronstein, Manuel; Salvy, Bruno ``Full partial fraction decomposition of rational functions'' @@ -2509,6 +3357,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 90]{Bro90b} Bronstein, Manuel ``A Unification of Liouvillian Extensions'' @@ -2524,6 +3373,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @book{Bron97, author = "Bronstein, Manuel", @@ -2537,6 +3387,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 05a]{Bro05a} Bronstein, Manuel ``The Poor Man's Integrator, a parallel integration heuristic'' @@ -2546,6 +3397,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @article{Bron06, author = "Bronstein, M.", @@ -2573,6 +3425,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @article{Bron07, author = "Bronstein, Manuel", @@ -2596,6 +3449,7 @@ In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2 LCCN QA76.95 I59 1993 \end{chunk} +\index{Charlwood, Kevin} \begin{chunk}{ignore} \bibitem[Charlwood 07]{Charl07} Charlwood, Kevin ``Integration on Computer Algebra Systems'' @@ -2615,6 +3469,7 @@ The Electronic J of Math. and Tech. Vol 2, No 3, ISSN 1933-2823 \end{chunk} +\index{Charlwood, Kevin} \begin{chunk}{ignore} \bibitem[Charlwood 08]{Charl08} Charlwood, Kevin ``Symbolic Integration Problems'' @@ -2628,6 +3483,7 @@ The Electronic J of Math. and Tech. Vol 2, No 3, ISSN 1933-2823 \end{chunk} +\index{Cherry, G.W.} \begin{chunk}{ignore} \bibitem[Cherry 84]{Che84} Cherry, G.W. ``Integration in Finite Terms with Special Functions: The Error Function'' @@ -2648,6 +3504,7 @@ J. Symbolic Computation (1985) Vol 1 pp283-302 \end{chunk} +\index{Cherry, G.W.} \begin{chunk}{ignore} \bibitem[Cherry 86]{Che86} Cherry, G.W. ``Integration in Finite Terms with Special Functions: @@ -2656,6 +3513,7 @@ SIAM J. Comput. Vol 15 pp1-21 February 1986 \end{chunk} +\index{Cherry, G.W.} \begin{chunk}{ignore} \bibitem[Cherry 89]{Che89} Cherry, G.W. ``An Analysis of the Rational Exponential Integral'' @@ -2681,6 +3539,7 @@ SIAM J. Computing Vol 18 pp 893-905 (1989) \end{chunk} +\index{Churchill, R.C.} \begin{chunk}{ignore} \bibitem[Churchill 06]{Chur06} Churchill, R.C. ``Liouville's Theorem on Integration Terms of Elementary Functions'' @@ -2704,6 +3563,7 @@ SIAM J. Computing Vol 18 pp 893-905 (1989) \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 79b]{Dav79b} Davenport, James Harold ``On the Integration of Algebraic Functions'' @@ -2712,6 +3572,7 @@ ISBN 0-387-10290-6 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 79c]{Dav79c} Davenport, J. H. ``Algorithms for the Integration of Algebraic Functions'' @@ -2731,6 +3592,7 @@ Lecture Notes in Computer Science V 72 pp415-425 (1979) \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 82a]{Dav82a} Davenport, J.H. ``The Parallel Risch Algorithm (I) @@ -2743,6 +3605,7 @@ Lecture Notes in Computer Science V 72 pp415-425 (1979) \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 82]{Dav82} Davenport, J.H. ``On the Parallel Risch Algorithm (III): Use of Tangents'' @@ -2750,6 +3613,7 @@ SIGSAM V16 no. 3 pp3-6 August 1982 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 03]{Dav03} Davenport, James H. ``The Difficulties of Definite Integration'' @@ -2763,6 +3627,7 @@ SIGSAM V16 no. 3 pp3-6 August 1982 \end{chunk} +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Fateman 02]{Fat02} Fateman, Richard ``Symbolic Integration'' @@ -2771,6 +3636,8 @@ SIGSAM V16 no. 3 pp3-6 August 1982 \end{chunk} +\index{Geddes, K. O.} +\index{Stefanus, L. Y.} \begin{chunk}{axiom.bib} @inproceedings{Gedd89, author = "Geddes, K. O. and Stefanus, L. Y.", @@ -2803,6 +3670,9 @@ SIGSAM V16 no. 3 pp3-6 August 1982 \end{chunk} +\index{Geddes, K. O.} +\index{Czapor, S.R.} +\index{Labahn, George} \begin{chunk}{ignore} \bibitem[Geddes 92a]{GCL92a} Geddes, K.O.; Czapor, S.R.; Labahn, G. ``The Risch Integration Algorithm'' @@ -2811,6 +3681,7 @@ Algorithms for Computer Algebra, Ch 12 pp511-573 (1992) \end{chunk} +\index{Hardy, G.H.} \begin{chunk}{ignore} \bibitem[Hardy 1916]{Hard16} Hardy, G.H. ``The Integration of Functions of a Single Variable'' @@ -2819,6 +3690,7 @@ Cambridge Unversity Press, Cambridge, 1916 \end{chunk} +\index{Harrington, S.J.} \begin{chunk}{ignore} \bibitem[Harrington 78]{Harr87} Harrington, S.J. ``A new symbolic integration system in reduce'' @@ -2838,6 +3710,7 @@ Cambridge Unversity Press, Cambridge, 1916 \end{chunk} +\index{Hermite, E.} \begin{chunk}{axiom.bib} @misc{Herm1872, author = "Hermite, E.", @@ -2850,6 +3723,7 @@ Cambridge Unversity Press, Cambridge, 1916 \end{chunk} +\index{Horowitz, Ellis} \begin{chunk}{ignore} \bibitem[Horowitz 71]{Horo71} Horowitz, Ellis ``Algorithms for Partial Fraction Decomposition and Rational Function @@ -2872,6 +3746,8 @@ pp441-457 \end{chunk} +\index{Jeffrey, David J.} +\index{Rich, Albert D.} \begin{chunk}{ignore} \bibitem[Jeffrey 97]{Jeff97} Jeffrey, D.J.; Rich, A.D. ``Recursive integration of piecewise-continuous functions'' @@ -2890,6 +3766,10 @@ pp441-457 \end{chunk} +\index{Jeffrey, David J.} +\index{Labahn, George} +\index{von Mohrenschildt, Martin} +\index{Rich, Albert D.} \begin{chunk}{ignore} \bibitem[Jeffrey 99]{Jeff99} Jeffrey, D.J.; Labahn, G.; Mohrenschildt, M.v.; Rich, A.D. @@ -2907,6 +3787,8 @@ Rich, A.D. \end{chunk} +\index{Kiymaz, Onur} +\index{Mirasyedioglu, Seref} \begin{chunk}{ignore} \bibitem[Kiymaz 04]{Kiym04} Kiymaz, Onur; Mirasyedioglu, Seref ``A new symbolic computation for formal integration with exact power series'' @@ -2918,6 +3800,7 @@ Rich, A.D. \end{chunk} +\index{Knowles, P.} \begin{chunk}{ignore} \bibitem[Knowles 93]{Know93} Knowles, P. ``Integration of a class of transcendental liouvillian @@ -2926,6 +3809,7 @@ Journal of Symbolic Computation Vol 13 pp525-543 (1993) \end{chunk} +\index{Knowles, P.} \begin{chunk}{ignore} \bibitem[Knowles 95]{Know95} Knowles, P. ``Integration of a class of transcendental liouvillian @@ -2934,6 +3818,7 @@ Journal of Symbolic Computation Vol 16 pp227-241 (1995) \end{chunk} +\index{Kragler, R.} \begin{chunk}{axiom.bib} @article{Krag09, author = "Kragler, R.", @@ -2955,6 +3840,7 @@ Journal of Symbolic Computation Vol 16 pp227-241 (1995) \end{chunk} +\index{Lang, S.} \begin{chunk}{ignore} \bibitem[Lang 93]{Lang93} Lang, S. ``Algebra'' @@ -2962,6 +3848,8 @@ Addison-Wesly, New York, 3rd edition 1993 \end{chunk} +\index{Leerawat, Utsanee} +\index{Laohakosol, Vichian} \begin{chunk}{ignore} \bibitem[Leerawat 02]{Leer02} Leerawat, Utsanee; Laohakosol, Vichian ``A Generalization of Liouville's Theorem on Integration in Finite Terms'' @@ -2976,6 +3864,7 @@ Addison-Wesly, New York, 3rd edition 1993 \end{chunk} +\index{Leslie, Martin} \begin{chunk}{ignore} \bibitem[Leslie 09]{Lesl09} Leslie, Martin ``Why you can't integrate exp($x^2$)'' @@ -2984,6 +3873,7 @@ Addison-Wesly, New York, 3rd edition 1993 \end{chunk} +\index{Lichtblau, Daniel} \begin{chunk}{ignore} \bibitem[Lichtblau 11]{Lich11} Lichtblau, Daniel ``Symbolic definite (and indefinite) integration: methods and open issues'' @@ -3002,6 +3892,7 @@ ACM Comm. in Computer Algebra Issue 175, Vol 45, No.1 (2011) \end{chunk} +\index{Liouville, Joseph} \begin{chunk}{axiom.bib} @article{Liou1833a, author = "Liouville, Joseph", @@ -3015,6 +3906,7 @@ ACM Comm. in Computer Algebra Issue 175, Vol 45, No.1 (2011) \end{chunk} +\index{Liouville, Joseph} \begin{chunk}{axiom.bib} @article{Liou1833b, author = "Liouville, Joseph", @@ -3028,6 +3920,7 @@ ACM Comm. in Computer Algebra Issue 175, Vol 45, No.1 (2011) \end{chunk} +\index{Liouville, Joseph} \begin{chunk}{ignore} \bibitem[Liouville 1833c]{Lio1833c} Liouville, Joseph ``Note sur la determination des int\'egrales dont la @@ -3037,6 +3930,7 @@ Vol 10 pp 247-259, (1833) \end{chunk} +\index{Liouville, Joseph} \begin{chunk}{ignore} \bibitem[Liouville 1833d]{Lio1833d} Liouville, Joseph ``Sur la determination des int\'egrales dont la valeur est @@ -3045,6 +3939,7 @@ alg\'ebrique'' \end{chunk} +\index{Liouville, Joseph} \begin{chunk}{ignore} \bibitem[Liouville 1835]{Lio1835} Liouville, Joseph ``M\'emoire sur l'int\'gration d'une classe de fonctions @@ -3054,6 +3949,8 @@ Vol 13(2) pp 93-118, (1835) \end{chunk} +\index{Marchisotto, Elena Anne} +\index{Zakeri, Gholem-All} \begin{chunk}{ignore} \bibitem[Marc 94]{Marc94} Marchisotto, Elena Anne; Zakeri, Gholem-All ``An Invitation to Integration in Finite Terms'' @@ -3063,6 +3960,7 @@ College Mathematics Journal Vol 25 No 4 (1994) pp295-308 \end{chunk} +\index{Marik, Jan} \begin{chunk}{ignore} \bibitem[Marik 91]{Mari91} Marik, Jan ``A note on integration of rational functions'' @@ -3078,6 +3976,7 @@ College Mathematics Journal Vol 25 No 4 (1994) pp295-308 \end{chunk} +\index{Moses, Joel} \begin{chunk}{ignore} \bibitem[Moses 76]{Mos76} Moses, Joel ``An introduction to the Risch Integration Algorithm'' @@ -3093,6 +3992,7 @@ ACM Proc. 1976 annual conference pp425-428 \end{chunk} +\index{Moses, Joel} \begin{chunk}{ignore} \bibitem[Moses 71a]{Mos71a} Moses, Joel ``Symbolic Integration: The Stormy Decade'' @@ -3114,6 +4014,8 @@ CACM Aug 1971 Vol 14 No 8 pp548-560 \end{chunk} +\index{Norman, Arthur C.} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Norman 79]{Nor79} Norman, A.C.; Davenport, J.H. ``Symbolic Integration -- The Dust Settles?'' @@ -3132,6 +4034,7 @@ CACM Aug 1971 Vol 14 No 8 pp548-560 \end{chunk} +\index{Ostrowski, A.} \begin{chunk}{ignore} \bibitem[Ostrowski 46]{Ost46} Ostrowski, A. ``Sur l'int\'egrabilit\'e \'el\'ementaire de quelques classes @@ -3141,6 +4044,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Raab, Clemens G.} \begin{chunk}{ignore} \bibitem[Raab 12]{Raab12} Raab, Clemens G. ``Definite Integration in Differential Fields'' @@ -3198,6 +4102,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Raab, Clemens G.} \begin{chunk}{ignore} \bibitem[Raab 13]{Raab13} Raab, Clemens G. ``Generalization of Risch's Algorithm to Special Functions'' @@ -3217,6 +4122,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Raab, Clemens G.} \begin{chunk}{ignore} \bibitem[Raab xx]{Raabxx} Raab, Clemens G. ``Integration in finite terms for Liouvillian functions'' @@ -3246,6 +4152,8 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Rich, Albert D.} +\index{Jeffrey, David J.} \begin{chunk}{ignore} \bibitem[Rich 09]{Rich09} Rich, A.D.; Jeffrey, D.J. ``A Knowledge Repository for Indefinite Integration Based on Transformation Rules'' @@ -3265,6 +4173,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Risch, Robert} \begin{chunk}{axiom.bib} @techreport{Risc68, author = "Risch, Robert", @@ -3278,6 +4187,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Risch, Robert} \begin{chunk}{axiom.bib} @techreport{Risc69a, author = "Risch, Robert", @@ -3291,6 +4201,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Risch, Robert} \begin{chunk}{axiom.bib} @article{Risc69b, author = "Risch, Robert", @@ -3307,6 +4218,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Risch, Robert} \begin{chunk}{axiom.bib} @article{Risc70, author = "Risch, Robert", @@ -3334,6 +4246,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Risch, Robert} \begin{chunk}{axiom.bib} @article{Risc79, author = "Risch, Robert", @@ -3346,6 +4259,7 @@ Comm. Math. Helv., Vol 18 pp 283-308, (1946) \end{chunk} +\index{Ritt, Joseph Fels} \begin{chunk}{ignore} \bibitem[Ritt 48]{Ritt48} Ritt, J.F. ``Integration in Finite Terms'' @@ -3354,6 +4268,7 @@ Columbia University Press, New York 1948 \end{chunk} +\index{Rosenlicht, Maxwell} \begin{chunk}{ignore} \bibitem[Rosenlicht 68]{Ro68} Rosenlicht, Maxwell ``Liouville's Theorem on Functions with Elementary Integrals'' @@ -3378,6 +4293,7 @@ Pacific Journal of Mathematics Vol 24 No 1 (1968) \end{chunk} +\index{Rosenlicht, Maxwell} \begin{chunk}{axiom.bib} @article{Rose72, author = "Rosenlicht, Maxwell", @@ -3391,6 +4307,7 @@ Pacific Journal of Mathematics Vol 24 No 1 (1968) \end{chunk} +\index{Rothstein, Michael} \begin{chunk}{ignore} \bibitem[Rothstein 76]{Ro76} Rothstein, Michael ``Aspects of symbolic integration and simplifcation of exponential @@ -3418,6 +4335,8 @@ PhD thesis, University of Wisconsin-Madison (1976) \end{chunk} +\index{Rothstein, Michael} +\index{Caviness, Bob F.} \begin{chunk}{ignore} \bibitem[Rothstein 76a]{Ro76a} Rothstein, Michael; Caviness, B.F. ``A structure theorem for exponential and primitive functions: a preliminary @@ -3437,6 +4356,8 @@ ACM Sigsam Bulletin Vol 10 Issue 4 (1976) \end{chunk} +\index{Rothstein, Michael} +\index{Caviness, Bob F.} \begin{chunk}{ignore} \bibitem[Rothstein 76b]{Ro76b} Rothstein, Michael; Caviness, B.F. ``A structure theorem for exponential and primitive functions'' @@ -3454,6 +4375,7 @@ SIAM J. Computing Vol 8 No 3 (1979) \end{chunk} +\index{Rothstein, Michael} \begin{chunk}{axiom.bib} @article{Roth77, author = "Rothstein, Michael", @@ -3467,6 +4389,7 @@ SIAM J. Computing Vol 8 No 3 (1979) \end{chunk} +\index{Seidenberg, Abraham} \begin{chunk}{ignore} \bibitem[Seidenberg 58]{Sei58} Seidenberg, Abraham ``Abstract differential algebra and the analytic case'' @@ -3474,6 +4397,7 @@ Proc. Amer. Math. Soc. Vol 9 pp159-164 (1958) \end{chunk} +\index{Seidenberg, Abraham} \begin{chunk}{ignore} \bibitem[Seidenberg 69]{Sei69} Seidenberg, Abraham ``Abstract differential algebra and the analytic case. II'' @@ -3481,6 +4405,9 @@ Proc. Amer. Math. Soc. Vol 23 pp689-691 (1969) \end{chunk} +\index{Singer, Michael F.} +\index{Saunders, B. David} +\index{Caviness, Bob F.} \begin{chunk}{ignore} \bibitem[Singer 85]{Sing85} Singer, M.F.; Saunders, B.D.; Caviness, B.F. ``An extension of Liouville's theorem on integration in finite terms'' @@ -3504,6 +4431,7 @@ SIAM J. of Comp. Vol 14 pp965-990 (1985) \end{chunk} +\index{Slagle, J.} \begin{chunk}{ignore} \bibitem[Slagle 61]{Slag61} Slagle, J. ``A heuristic program that solves symbolic integration problems in @@ -3513,6 +4441,7 @@ Ph.D Diss. MIT, May 1961; also Computers and Thought, Feigenbaum and Feldman. \end{chunk} +\index{Terelius, Bjorn} \begin{chunk}{ignore} \bibitem[Terelius 09]{Tere09} Terelius, Bjorn ``Symbolic Integration'' @@ -3544,6 +4473,7 @@ Ph.D Diss. MIT, May 1961; also Computers and Thought, Feigenbaum and Feldman. \end{chunk} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @article{Trag76, author = "Trager, Barry", @@ -3566,6 +4496,7 @@ Ph.D Diss. MIT, May 1961; also Computers and Thought, Feigenbaum and Feldman. \end{chunk} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Trager 76a]{Tr76a} Trager, Barry Marshall ``Algorithms for Manipulating Algebraic Functions'' @@ -3594,6 +4525,7 @@ MIT Master's Thesis. \end{chunk} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @phdthesis{Trag84, author = "Trager, Barry", @@ -3612,6 +4544,7 @@ MIT Master's Thesis. \end{chunk} +\index{W\"urfl, Andreas} \begin{chunk}{ignore} \bibitem[W\"urfl 07]{Wurf07} W\"urfl, Andreas ``Basic Concepts of Differential Algebra'' @@ -3632,6 +4565,7 @@ MIT Master's Thesis. \section{Partial Fraction Decomposition} %%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Angell, Tom} \begin{chunk}{ignore} \bibitem[Angell]{Angell} Angell, Tom ``Guidelines for Partial Fraction Decomposition'' @@ -3640,6 +4574,7 @@ MIT Master's Thesis. \end{chunk} +\index{Laval, Philippe B.} \begin{chunk}{ignore} \bibitem[Laval 08]{Lava08} Laval, Philippe B. ``Partial Fractions Decomposition'' @@ -3656,6 +4591,7 @@ MIT Master's Thesis. \end{chunk} +\index{Rajasekaran, Raja} \begin{chunk}{ignore} \bibitem[Rajasekaran 14]{Raja14} Rajasekaran, Raja ``Partial Fraction Expansion'' @@ -3665,6 +4601,7 @@ MIT Master's Thesis. \end{chunk} +\index{Wootton, Aaron} \begin{chunk}{ignore} \bibitem[Wootton 14]{Woot14} Wootton, Aaron ``Integration of Rational Functions by Partial Fractions'' @@ -3677,6 +4614,8 @@ MIT Master's Thesis. This is used as a reference for the LeftOreRing category, in particular, the least left common multiple (lcmCoef) function. +\index{Abramov, Sergei A.} +\index{van Hoeij, Mark} \begin{chunk}{ignore} \bibitem[Abramov 97]{Abra97} Abramov, Sergei A.; van Hoeij, Mark ``A method for the Integration of Solutions of Ore Equations'' @@ -3689,6 +4628,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Delenclos, Jonathon} +\index{Leroy, Andr\'e} \begin{chunk}{ignore} \bibitem[Delenclos 06]{DL06} Delenclos, Jonathon; Leroy, Andr\'e ``Noncommutative Symmetric functions and $W$-polynomials'' @@ -3708,6 +4649,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Abramov, Sergei A.} +\index{Le, H.Q.} +\index{Li, Ziming} \begin{chunk}{ignore} \bibitem[Abramov 05]{Abra05} Abramov, S.A.; Le, H.Q.; Li, Z. ``Univariate Ore Polynomial Rings in Computer Algebra'' @@ -3724,6 +4668,9 @@ Proc ISSAC 97 pp172-175 (1997) \section{Number Theory} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} +\index{Valente, T.} +\index{Yui, N.} \begin{chunk}{axiom.bib} @InProceedings{Kalt89d, author = "Kaltofen, E. and Valente, T. and Yui, N.", @@ -3738,6 +4685,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Yui, N.} \begin{chunk}{axiom.bib} @InCollection{Kalt91b, author = "Kaltofen, E. and Yui, N.", @@ -3755,6 +4704,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Yui, N.} \begin{chunk}{axiom.bib} @InProceedings{Kalt84a, author = "Kaltofen, E. and Yui, N.", @@ -3771,6 +4722,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Shoup, Victor} \begin{chunk}{ignore} \bibitem[Shoup 08]{Sho08} Shoup, Victor ``A Computational Introduction to Number Theory'' @@ -3781,6 +4733,9 @@ Proc ISSAC 97 pp172-175 (1997) \section{Sparse Polynomial Interpolation} %%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt07a, author = "Kaltofen, Erich and Yang, Zhengfeng and Zhi, Lihong", @@ -3796,6 +4751,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} \begin{chunk}{axiom.bib} @InProceedings{Kalt07b, author = "Kaltofen, Erich and Yang, Zhengfeng", @@ -3811,6 +4768,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Giesbrecht, Mark} +\index{Kaltofen, Erich} +\index{Lee, Wen-shin} \begin{chunk}{axiom.bib} @Article{Gies03, author = "Giesbrecht, Mark and Kaltofen, Erich and Lee, Wen-shin", @@ -3827,6 +4787,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Giesbrecht, Mark} +\index{Kaltofen, Erich} +\index{Lee, Wen-shin} \begin{chunk}{axiom.bib} @InProceedings{Gies02, author = "Giesbrecht, Mark and Kaltofen, Erich and Lee, Wen-shin", @@ -3842,6 +4805,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lee, Wen-shin} \begin{chunk}{axiom.bib} @Article{Kalt03b, author = "Kaltofen, Erich and Lee, Wen-shin", @@ -3857,6 +4822,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lee, Wen-shin} +\index{Lobo, A.} \begin{chunk}{axiom.bib} @InProceedings{Kalt00a, author = "Kaltofen, E. and Lee, W.-s. and Lobo, A.A.", @@ -3872,6 +4840,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt10b, author = "Kaltofen, Erich L.", @@ -3888,6 +4857,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lakshman, Yagati N.} +\index{Wiley, J.M.} \begin{chunk}{axiom.bib} @InProceedings{Kalt90, author = "Kaltofen, E. and Lakshman, Y.N. and Wiley, J.M.", @@ -3903,6 +4875,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lakshman, Yagati N.} \begin{chunk}{axiom.bib} @InProceedings{Kalt88a, author = "Kaltofen, E. and Yagati, Lakshman", @@ -3919,6 +4893,10 @@ Proc ISSAC 97 pp172-175 (1997) \section{Divisions and Algebraic Complexity} %%%%%%%%%%%%%%%%%%%%%%% +\index{Grenet, Bruno} +\index{Kaltofen, Erich} +\index{Koiran, Pascal} +\index{Portier, Natacha} \begin{chunk}{axiom.bib} @InCollection{Gren11, author = "Grenet, Bruno and Kaltofen, Erich L. and Koiran, Pascal @@ -3940,6 +4918,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Koiran, Pascal} \begin{chunk}{axiom.bib} @InProceedings{Kalt08a, author = "Kaltofen, Erich and Koiran, Pascal", @@ -3954,6 +4934,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kitz, M.A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Hitz95, author = "Kitz, M.A. and Kaltofen, E.", @@ -3969,6 +4951,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt92a, author = "Kaltofen, E.", @@ -3983,6 +4966,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Cantor, D.G.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Cant91, author = "Cantor, D.G. and Kaltofen, E.", @@ -3998,6 +4983,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt88b, author = "Kaltofen, E.", @@ -4016,6 +5002,7 @@ Proc ISSAC 97 pp172-175 (1997) \section{Polynomial Factorization} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @PhdThesis{Kalt82, author = "Kaltofen, E.", @@ -4031,9 +5018,11 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{von zur Gathen, Joachim} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Gath85, - author = "Gathen, Joachim von zur; Kaltofen, E.", + author = "{von zur Gathen}, Joachim and Kaltofen, E.", title = "Factoring sparse multivariate polynomials", journal = "J. Comput. System Sci.", year = "1985", @@ -4046,6 +5035,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{axiom.bib} @InCollection{Kalt11c, author = "Kaltofen, Erich and Lecerf, Gr{\'e}goire", @@ -4060,6 +5051,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Koiran, Pascal} \begin{chunk}{axiom.bib} @InProceedings{Kalt05b, author = "Kaltofen, Erich and Koiran, Pascal", @@ -4075,6 +5068,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Koiran, Pascal} \begin{chunk}{axiom.bib} @InProceedings{Kalt06a, author = "Kaltofen, Erich and Koiran, Pascal", @@ -4090,6 +5085,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Shoup, Victor} \begin{chunk}{axiom.bib} @InProceedings{Kalt97a, author = "Kaltofen, E. and Shoup, V.", @@ -4105,6 +5102,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Shoup, Victor} \begin{chunk}{axiom.bib} @Article{Kalt98, author = "Kaltofen, E. and Shoup, V.", @@ -4121,6 +5120,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Shoup, Victor} \begin{chunk}{axiom.bib} @InProceedings{Kalt95a, author = "Kaltofen, E. and Shoup, V.", @@ -4136,6 +5137,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Diaz, A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Diaz95, author = "Diaz, A. and Kaltofen, E.", @@ -4151,6 +5154,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @InProceedings{Kalt88, author = "Kaltofen, E. and Trager, B.", @@ -4167,6 +5172,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt85b, author = "Kaltofen, E.", @@ -4182,6 +5188,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt86, author = "Kaltofen, E.", @@ -4196,6 +5203,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt87b, author = "Kaltofen, E.", @@ -4211,6 +5219,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt89, author = "Kaltofen, E.", @@ -4229,6 +5238,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Gao, Shuhong} +\index{Kaltofen, Erich} +\index{Lauder, A.} \begin{chunk}{axiom.bib} @Article{Gao04, author = "Gao, Shuhong and Kaltofen, E. and Lauder, A.", @@ -4245,6 +5257,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt87c, author = "Kaltofen, E.", @@ -4260,6 +5273,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt95b, author = "Kaltofen, E.", @@ -4275,6 +5289,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt85a, author = "Kaltofen, E.", @@ -4290,6 +5305,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{von zur Gathen, Joachim} \begin{chunk}{axiom.bib} @Article{Gath85a, author = "{von zur Gathen}, Joachim and Kaltofen, E.", @@ -4303,6 +5320,7 @@ Proc ISSAC 97 pp172-175 (1997) paper = "Gath85a.ps" } +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt85e, author = "Kaltofen, E.", @@ -4319,6 +5337,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt82a, author = "Kaltofen, E.", @@ -4334,6 +5353,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt03, author = "Kaltofen, Erich", @@ -4347,6 +5367,7 @@ Proc ISSAC 97 pp172-175 (1997) paper = "Kalt03.pdf" } +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt92b, author = "Kaltofen, E.", @@ -4365,6 +5386,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt90c, author = "Kaltofen, E.", @@ -4384,6 +5406,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InCollection{Kalt82b, author = "Kaltofen, E.", @@ -4403,6 +5426,9 @@ Proc ISSAC 97 pp172-175 (1997) \section{Branch Cuts} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Beaumont, James} +\index{Bradford, Russell} +\index{Davenport, James H.} \begin{chunk}{axiom.bib} @article{Beau03, author = "Beaumont, James and Bradford, Russell and Davenport, James H.", @@ -4428,6 +5454,10 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Beaumont, James} +\index{Bradford, Russell} +\index{Davenport, James H.} +\index{Phisanbut, Nalina} \begin{chunk}{axiom.bib} @article{Beau07, author = "Beaumont, James C. and Bradford, Russell J. and @@ -4467,10 +5497,15 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Bradford, Russell} +\index{Corless, Robert M.} +\index{Davenport, James H.} +\index{Jeffrey, David J.} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} @article{Brad02, - author="Bradford, Russell and Corless, RobertM. and Davenport, JamesH. and - Jeffrey, DavidJ. and Watt, StephenM.", + author="Bradford, Russell and Corless, Robert M. and Davenport, James H. and + Jeffrey, David J. and Watt, Stephen M.", title="Reasoning about the Elementary Functions of Complex Analysis", journal="Annals of Mathematics and Artificial Intelligence", year="2002", @@ -4498,9 +5533,14 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Chyzak, Fr\'ed\'eric} +\index{Davenport, James H.} +\index{Koutschan, Christoph} +\index{Salvy, Bruno} \begin{chunk}{axiom.bib} @inproceedings{Chyz11, - author = "Chyzak, Fr\'ed\'eric and Davenport, James H. and Koutschan, Christoph and Salvy, Bruno", + author = "Chyzak, Fr{\'e}d{\'e}ric and Davenport, James H. and + Koutschan, Christoph and Salvy, Bruno", title = "On Kahan's Rules for Determining Branch Cuts", booktitle = "Proc. 13th Int. Symp. on Symbolic and Numeric Algorithms for Scientific Computing", year = "2011", @@ -4524,6 +5564,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Davenport, James H.} \begin{chunk}{axiom.bib} @article{Dave10, author = "Davenport, James", @@ -4552,6 +5593,10 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Davenport, James H.} +\index{Bradford, Russell} +\index{England, Matthew} +\index{Wilson, David} \begin{chunk}{axiom.bib} @article{Dave12, author = "Davenport, James H. and Bradford, Russell and England, Matthew @@ -4587,6 +5632,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Jeffrey, David J.} +\index{Norman, Arthur C.} \begin{chunk}{axiom.bib} @article{Jeff04, author = "Jeffrey, D. J. and Norman, A. C.", @@ -4622,6 +5669,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kahan, W.} \begin{chunk}{axiom.bib} @inproceedings{Kaha86, author = "Kahan, W.", @@ -4635,6 +5683,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Rich, Albert D.} +\index{Jeffrey, David J.} \begin{chunk}{axiom.bib} @article{Rich96, author = "Rich, Albert D. and Jeffrey, David J.", @@ -4670,6 +5720,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Patton, Charles M.} \begin{chunk}{axiom.bib} @article{Patt96, author = "Patton, Charles M.", @@ -4698,6 +5749,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Squire, Jon S.} \begin{chunk}{axiom.bib} @article{Squi91, author = "Squire, Jon S.", @@ -4728,6 +5780,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Squire, Jon S.} \begin{chunk}{axiom.bib} @article{Squi91a, editor = "Squire, Jon S.", @@ -4757,6 +5810,7 @@ Proc ISSAC 97 pp172-175 (1997) \section{Square-free Decomposition } %%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Bernardin, Laurent} \begin{chunk}{axiom.bib} @article{Bern97, author = "Bernardin, Laurent", @@ -4795,6 +5849,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Ch\'eze, Guillaume} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{axiom.bib} @article{Chez07, author = "Ch\'eze, Guillaume and Lecerf, Gr\'egoire", @@ -4816,6 +5872,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{axiom.bib} @article{Lece07, author = "Lecerf, Gr\'egoire", @@ -4839,6 +5896,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Wang, Paul S.} \begin{chunk}{axiom.bib} @article{Wang77, author = "Wang, Paul S.", @@ -4863,6 +5921,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Wang, Paul S.} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @article{Wang79, author = "Wang, Paul S. and Trager, Barry M.", @@ -4896,6 +5956,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Yun, David Y.Y} \begin{chunk}{axiom.bib} @inproceedings{Yun76, author = "Yun, D.Y.Y", @@ -4910,6 +5971,7 @@ Proc ISSAC 97 pp172-175 (1997) \section{To Be Classified} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt83, author = "Kaltofen, E.", @@ -4926,6 +5988,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt85, author = "Kaltofen, E.", @@ -4941,6 +6004,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @TechReport{Kalt85c, author = "Kaltofen, E.", @@ -4955,6 +6019,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt85d, author = "Kaltofen, E.", @@ -4969,6 +6034,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Miller, G.L.} +\index{Ramachandran, V.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Mill88, author = "Miller, G.L. and Ramachandran, V. and Kaltofen, E.", @@ -4985,6 +6053,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Gregory, B.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Greg88, author = "Gregory, B.; Kaltofen, E.", @@ -5002,6 +6072,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Rolletschek, H.} \begin{chunk}{axiom.bib} @Article{Kalt89a, author = "Kaltofen, E.; Rolletschek, H.", @@ -5018,6 +6090,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Unpublished{Kalt89b, author = "Kaltofen, E.", @@ -5031,6 +6104,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @TechReport{Kalt89c, author = "Kaltofen, E.", @@ -5046,6 +6120,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Canny, J.} +\index{Kaltofen, Erich} +\index{Lakshman, Yagati N.} \begin{chunk}{axiom.bib} @InProceedings{Cann89, author = "Canny, J. and Kaltofen, E. and Yagati, Lakshman", @@ -5060,6 +6137,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt90b, author = "Kaltofen, E.", @@ -5076,6 +6154,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @Article{Kalt90d, author = "Kaltofen, E.; Trager, B.", @@ -5093,6 +6173,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Singer, Michael F.} \begin{chunk}{axiom.bib} @InProceedings{Kalt91a, author = "Kaltofen, E. and Singer, M.F.", @@ -5110,6 +6192,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt93, author = "Kaltofen, E.", @@ -5130,6 +6213,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt93b, author = "Kaltofen, E.", @@ -5146,6 +6230,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Pan, V.} \begin{chunk}{axiom.bib} @InProceedings{Kalt94, author = "Kaltofen, E. and Pan, V.", @@ -5161,6 +6247,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Samadani, M.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Sama95, author = "Samadani, M. and Kaltofen, E.", @@ -5179,6 +6267,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Erlingsson, U.} +\index{Kaltofen, Erich} +\index{Musser, D.} \begin{chunk}{axiom.bib} @InProceedings{Erli96, author = "Erlingsson, U. and Kaltofen, E. and Musser, D.", @@ -5193,6 +6284,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lobo, A.} \begin{chunk}{axiom.bib} @InProceedings{Kalt96, author = "Kaltofen, E. and Lobo, A.", @@ -5207,6 +6300,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Article{Kalt97, author = "Kaltofen, E.", @@ -5231,6 +6325,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Hitz, M.A.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @Unpublished{Hitz97, author = "Hitz, M. A. and Kaltofen, E.", @@ -5244,6 +6340,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Bernardin, Laurent} +\index{Char, B.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Bern99, author = "Bernardin, L. and Char, B. and Kaltofen, E.", @@ -5258,6 +6357,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{McLean, Michael} +\index{Norris, Larry} \begin{chunk}{axiom.bib} @InProceedings{Kalt02, author = "Kaltofen, Erich and McLean, Michael and Norris, Larry", @@ -5273,6 +6375,11 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Grabmeier, Johannes} +\index{Kaltofen, Erich} +\index{Saunders, B. David} +\index{Corless, Robert M.} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} @Book{Grab03, editor = "Grabmeier, J. and Kaltofen, E. and Weispfenning, V.", @@ -5296,6 +6403,11 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Li, Bin} +\index{Sivaramakrishnan, Kartik} +\index{Yang, Zhengfeng} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Kalt07, author = "Kaltofen, Erich and Li, Bin and Sivaramakrishnan, Kartik and @@ -5313,6 +6425,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Borwein, Peter} +\index{Kaltofen, Erich} +\index{Mossinghoff, Michael J.} \begin{chunk}{axiom.bib} @Article{Borw07, author = "Borwein, Peter and Kaltofen, Erich and Mossinghoff, Michael J.", @@ -5329,6 +6444,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lavin, Mark} \begin{chunk}{axiom.bib} @Article{Kalt10, author = "Kaltofen, Erich and Lavin, Mark", @@ -5345,6 +6462,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Nehring, Michael} \begin{chunk}{axiom.bib} @InProceedings{Kalt11, author = "Kaltofen, Erich L. and Nehring, Michael", @@ -5360,6 +6479,10 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Grenet, Bruno} +\index{Kaltofen, Erich} +\index{Koiran, Pascal} +\index{Portier, Natacha} \begin{chunk}{axiom.bib} @InProceedings{Gren11a, author = "Grenet, Bruno and Kaltofen, Erich L. and Koiran, Pascal @@ -5376,6 +6499,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Nehring, Michael} +\index{Saunders, B. David} \begin{chunk}{axiom.bib} @InProceedings{Kalt11a, author = "Kaltofen, Erich L. and Nehring, Michael and Saunders, David B.", @@ -5391,6 +6517,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Lee, Wen-shin} +\index{Yang, Zhengfeng} \begin{chunk}{axiom.bib} @InProceedings{Kalt11b, author = "Kaltofen, Erich L. and Lee, Wen-shin and Yang, Zhengfeng", @@ -5407,6 +6536,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Zhi, Lihong} \begin{chunk}{axiom.bib} @InProceedings{Guo12, author = "Guo, Feng and Kaltofen, Erich L. and Zhi, Lihong", @@ -5423,6 +6554,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Comer, Matthew T.} +\index{Pernet, Cl{\'e}ment} \begin{chunk}{axiom.bib} @InProceedings{Come12a, author = "Comer, Matthew T. and Kaltofen, Erich L. and Pernet, Cl{\'e}ment", @@ -5439,6 +6573,9 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Boyer, Brice B.} +\index{Comer, Matthew T.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Boye13, author = "Boyer, Brice and Comer, Matthew T. and Kaltofen, Erich L.", @@ -5454,6 +6591,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} \begin{chunk}{axiom.bib} @InProceedings{Kalt13b, author = "Kaltofen, Erich and Yang, Zhengfeng", @@ -5469,6 +6608,7 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Kalt13c, author = "Kaltofen, Erich L.", @@ -5483,6 +6623,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Yang, Zhengfeng} \begin{chunk}{axiom.bib} @InProceedings{Kalt14, author = "Kaltofen, Erich L. and Yang, Zhengfeng", @@ -5497,6 +6639,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Kaltofen, Erich} +\index{Pernet, Cl{\'e}ment} \begin{chunk}{axiom.bib} @InProceedings{Kalt14a, author = "Kaltofen, Erich L. and Pernet, Cl{\'e}ment", @@ -5511,6 +6655,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Dumas, Jean-Guillaume} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Duma14, author = "Dumas, Jean-Guillaume and Kaltofen, Erich L.", @@ -5524,6 +6670,8 @@ Proc ISSAC 97 pp172-175 (1997) \end{chunk} +\index{Boyer, Brice B.} +\index{Kaltofen, Erich} \begin{chunk}{axiom.bib} @InProceedings{Boye14, author = "Boyer, Brice B. and Kaltofen, Erich L.", @@ -5563,6 +6711,9 @@ Symposium on Symbolic and Algebraic Computation. ACM Press, New York, NY, \end{chunk} +\index{Augot, D.} +\index{Charpin, P.} +\index{Sendrier, N.} \begin{chunk}{axiom.bib} @article{Augo91, author = "Augot, D. and Charpin, P. and Sendrier, N.", @@ -5579,6 +6730,8 @@ Symposium on Symbolic and Algebraic Computation. ACM Press, New York, NY, \end{chunk} +\index{Adams, William W.} +\index{Loustaunau, Philippe} \begin{chunk}{ignore} \bibitem[Adams 94]{AL94} author = "Adams, William W. and Loustaunau, Philippe", @@ -5590,6 +6743,7 @@ American Mathematical Society (1994) \end{chunk} +\index{Andrews, George E.} \begin{chunk}{ignore} \bibitem[Andrews 84]{And84} author = "Andrews, George E.", @@ -5601,6 +6755,7 @@ In Golden and Hussain [GH84] \end{chunk} +\index{Andrews, George E.} \begin{chunk}{ignore} \bibitem[Andrews 88]{And88} author = "Andrews, G. E.", @@ -5649,6 +6804,7 @@ Physik, 75 (suppl. 2), CODEN ZAMMAX, ISSN 0044-2267 \subsection{B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Baclawski, Krystian} \begin{chunk}{axiom.bib} @article{Bacl14, author = "Baclawski, Krystian", @@ -5671,9 +6827,12 @@ Physik, 75 (suppl. 2), CODEN ZAMMAX, ISSN 0044-2267 \end{chunk} +\index{Blair, Fred W.} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Blair 70]{BGJ70} - author = "Blair, Fred W and Griesmer, James H. and Jenks, Richard D.", + author = "Blair, Fred W. and Griesmer, James H. and Jenks, Richard D.", title = "An interactive facility for symbolic mathematics", year = "1970", pages = "394-419", @@ -5682,6 +6841,8 @@ Proc. International Computing Symposium, Bonn, Germany, \end{chunk} +\index{Blair, Fred W.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Blair 70a]{BJ70} author = "Blair, Fred W. and Jenks, Richard D.", @@ -5692,6 +6853,9 @@ IBM Research Report, RC3062 Sept \end{chunk} +\index{Broadbery, Peter A.} +\index{G{\'o}mez-D{\'\i}az, Teresa} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} \bibitem[Broadbery 95]{BGDW95} author = "Broadbery, P. A. and G{\'o}mez-D{\'\i}az, T. and Watt, S. M.", @@ -5723,6 +6887,7 @@ IBM Research Report, RC3062 Sept \end{chunk} +\index{Boehm, Hans-J.} \begin{chunk}{axiom.bib} \bibitem[Boehm 89]{Boe89} @inproceedings{Boe89, @@ -5756,6 +6921,10 @@ IBM Research Report, RC3062 Sept \end{chunk} +\index{Boulton, Richard} +\index{Hardy, Ruth} +\index{Gottlieben, Hanne} +\index{Martin, Ursula} \begin{chunk}{axiom.bib} @inproceedings{BHGM04, author = "Boulton, Richard and Hardy, Ruth and Gottliebsen, Hanne @@ -5779,6 +6948,7 @@ IBM Research Report, RC3062 Sept \end{chunk} +\index{Boulanger, Jean-Louis} \begin{chunk}{ignore} \bibitem[Boulanger 91]{Bou91} author = "Boulanger, Jean-Louis", @@ -5790,6 +6960,7 @@ Rapport de DEA Universite dl lille 1 \end{chunk} +\index{Boulanger, Jean-Louis} \begin{chunk}{axiom.bib} @misc{Bou93a, author = "Boulanger, Jean-Louis", @@ -5802,6 +6973,7 @@ Rapport de DEA Universite dl lille 1 \end{chunk} +\index{Boulanger, Jean-Louis} \begin{chunk}{axiom.bib} @misc{Bou93b, author = "Boulanger, Jean-Louis", @@ -5822,6 +6994,7 @@ Rapport de DEA Universite dl lille 1 \end{chunk} +\index{Boulanger, Jean-Louis} \begin{chunk}{ignore} \bibitem[Boulanger 94]{Bou94} author = "Boulanger, J.L.", @@ -5845,6 +7018,7 @@ ACM SIGPLAN Notices, 30(2) CODEN SINODQ ISSN 0362-1340 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 87]{Bro87} author = "Bronstein, Manuel", @@ -5855,6 +7029,7 @@ in [Wit87], p18 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 89]{Bro89} author= "Bronstein, M.", @@ -5874,6 +7049,7 @@ ACM [ACM89] pages LCCN QA76.95.I59 1989 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} \bibitem[Bronstein 91a]{Bro91a} @inproceedings{Bron91a, @@ -5898,6 +7074,7 @@ ACM [ACM89] pages LCCN QA76.95.I59 1989 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 91c]{Bro91c} author = "Bronstein, Manuel", @@ -5917,6 +7094,7 @@ Springer-Verlag, NY (1991) } \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 92]{Bro92} author = "Bronstein, M.", @@ -5946,6 +7124,7 @@ Springer-Verlag, NY (1991) } \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 93]{Bro93} author = "Bronstein, Manuel (ed)", @@ -5960,6 +7139,7 @@ LCCN QA76.95 I59 1993 ACM order number 505930 \end{chunk} +\index{Brunelli, J.C.} \begin{chunk}{ignore} \bibitem[Brunelli 08]{Brun08} author = "Brunelli, J.C.", @@ -5978,6 +7158,8 @@ LCCN QA76.95 I59 1993 ACM order number 505930 \end{chunk} +\index{Bronstein, Manuel} +\index{Salvy, Bruno} \begin{chunk}{ignore} \bibitem[Bronstein 93]{BS93} author = "Bronstein, Manuel and Salvy, Bruno", @@ -5990,6 +7172,7 @@ In Bronstein [Bro93] LCCN QA76.95 I59 1993 \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @misc{Bro92a, author = "Bronstein, Manuel", @@ -6010,6 +7193,8 @@ In Bronstein [Bro93] LCCN QA76.95 I59 1993 \end{chunk} +\index{Beneke, T.} +\index{Schwippert, W.} \begin{chunk}{ignore} \bibitem[Beneke 94]{BS94} author = "Beneke, T. and Schwippert, W.", @@ -6023,6 +7208,8 @@ Elektronik, 43(15) CODEN EKRKAR ISSN 0013-5658 \end{chunk} +\index{Bronstein, Manuel} +\index{Weil, Jacques-Arthur} \begin{chunk}{ignore} \bibitem[Bronstein 97a]{Bro97a} author = "Bronstein, Manuel and Weil, Jacques-Arthur", @@ -6047,6 +7234,7 @@ Elektronik, 43(15) CODEN EKRKAR ISSN 0013-5658 \end{chunk} +\index{Borwein, Jonathan} \begin{chunk}{ignore} \bibitem[Borwein 00]{Bor00} author = "Borwein, Jonathan", @@ -6059,6 +7247,8 @@ Elektronik, 43(15) CODEN EKRKAR ISSN 0013-5658 \end{chunk} +\index{Brown, Ronald} +\index{Tonks, A.} \begin{chunk}{axiom.bib} @article{BT94, author = "Brown, R. and Tonks, A.", @@ -6075,6 +7265,8 @@ Elektronik, 43(15) CODEN EKRKAR ISSN 0013-5658 \end{chunk} +\index{Brown, Ronald} +\index{Dreckmann, Winfried} \begin{chunk}{axiom.bib} @misc{Brow95, author = "Brown, Ronald and Dreckmann, Winfried", @@ -6096,6 +7288,8 @@ Elektronik, 43(15) CODEN EKRKAR ISSN 0013-5658 \end{chunk} +\index{Buchberger, Bruno} +\index{Caviness, Bob F.} \begin{chunk}{ignore} \bibitem[Buchberger 85]{BC85} Buchberger, Bruno and Caviness, Bob F. (eds) EUROCAL '85: European Conference on Computer Algebra, Linz, Austria, @@ -6109,6 +7303,7 @@ LLCN QA155.7.E4 E86 \end{chunk} +\index{Buhl, Soren L.} \begin{chunk}{axiom.bib} @misc{Buh05, author = "Buhl, Soren L.", @@ -6119,6 +7314,7 @@ LLCN QA155.7.E4 E86 \end{chunk} +\index{Burge, William H.} \begin{chunk}{ignore} \bibitem[Burge 91]{Burg91} author = "Burge, W.H.", @@ -6133,6 +7329,8 @@ LLCN QA155.7.E4 E86 \end{chunk} +\index{Burge, William H.} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} @techreport{BW87, author = "Burge, W. and Watt, S.", @@ -6146,6 +7344,9 @@ LLCN QA155.7.E4 E86 \end{chunk} +\index{Burge, William H.} +\index{Watt, Stephen M.} +\index{Morrison, Scott C.} \begin{chunk}{ignore} \bibitem[Burge 87a]{BWM87} author = "Burge, William H. and Watt, Stephen M. and Morrison, Scott C.", @@ -6157,6 +7358,8 @@ in [Wit87], pp9-12 \end{chunk} +\index{Burge, William H.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Burge 89]{BW89} author = "Burge, W. H. and Watt, S. M.", @@ -6171,6 +7374,7 @@ in Davenport [Dav89], LCCN QA155.7.E4E86 1987 \subsection{C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Calmet, J.} \begin{chunk}{ignore} \bibitem[Calmet 94]{Cal94} Calmet, J. (ed) Rhine Workshop on Computer Algebra, Proceedings. @@ -6179,6 +7383,9 @@ Universit{\"a}t Karsruhe, Karlsruhe, Germany 1994 \end{chunk} +\index{Camion, Paul} +\index{Courteau, Bernard} +\index{Montpetit, Andre} \begin{chunk}{ignore} \bibitem[Camion 92]{CCM92} author = "Camion, Paul and Courteau, Bernard and Montpetit, Andre", @@ -6192,9 +7399,12 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Capriotti, Olga} +\index{Cohen, Arjeh M.} +\index{Riem, Manfred} \begin{chunk}{ignore} -\bibitem[Caprotti 00]{CCR00} - author = "Caprotti, Olga and Cohen, Arjeh M. and Riem, Manfred", +\bibitem[Capriotti 00]{CCR00} + author = "Capriotti, Olga and Cohen, Arjeh M. and Riem, Manfred", title = "Java Phrasebooks for Computer Algebra and Automated Deduction", url = "http://www.sigsam.org/bulletin/articles/132/paper8.pdf", paper = "CCR00.pdf", @@ -6202,6 +7412,8 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Capriotti, Olga} +\index{Carlisle, David} \begin{chunk}{axiom.bib} @misc{CC99, author = "Capriotti, O. and Carlisle, D.", @@ -6213,6 +7425,10 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Capriotti, Olga} +\index{Cohen, Arjeh M.} +\index{Cuypers, Hans} +\index{Sterk, Hans} \begin{chunk}{axiom.bib} @misc{Capr99, author = "Capriotti, Olga and Cohen, Arjeh M. and Cuypers, Hans and @@ -6229,6 +7445,8 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Carpent, Quentin} +\index{Conil, Christophe} \begin{chunk}{axiom.bib} @misc{Carp04, author = "Carpent, Quentin and Conil, Christophe", @@ -6240,6 +7458,8 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Chudnovsky, David V.} +\index{Chudnovsky, G.V.} \begin{chunk}{axiom.bib} @misc{Chu85, author = "Chudnovsky, D.V and Chudnovsky, G.V.", @@ -6252,6 +7472,8 @@ Informatique et en Automatique, Le Chesnay, France, 12pp \end{chunk} +\index{Chudnovsky, David V.} +\index{Chudnovsky, G.V.} \begin{chunk}{ignore} \bibitem[Chudnovsky 87]{Chu87} author = "Chudnovsky, D.V and Chudnovsky, G.V.", @@ -6263,6 +7485,8 @@ in [Wit87] \end{chunk} +\index{Chudnovsky, David V.} +\index{Chudnovsky, G.V.} \begin{chunk}{ignore} \bibitem[Chudnovsky 89]{Chu89} author = "Chudnovsky, D.V. and Chudnovsky, G.V.", @@ -6275,6 +7499,8 @@ Proc. Natl. Acad. Sci. USA Vol 86 \end{chunk} +\index{Chudnovsky, David V.} +\index{Jenks, Richard D.} \begin{chunk}{axiom.bib} @proceedings{CJ86, editor = "Chudnovsky, David and Jenks, Richard", @@ -6289,9 +7515,14 @@ Proc. Natl. Acad. Sci. USA Vol 86 \end{chunk} +\index{Cohen, Arjeh M.} +\index{Cuypers, Hans} +\index{Barreiro, Hans} +\index{Reinaldo, Ernesto} +\index{Sterk, Hans} \begin{chunk}{axiom.bib} @misc{Cohe03, - author = "Cohen, Arjeh and Cuypers, M. and Barreiro, Hans and + author = "Cohen, Arjeh and Cuypers, H. and Barreiro, Hans and Reinaldo, Ernesto and Sterk, Hans", title = "Interactive Mathematical Documents on the Web", year = "2003", @@ -6304,6 +7535,8 @@ Proc. Natl. Acad. Sci. USA Vol 86 \end{chunk} +\index{Cohen, G.} +\index{Charpin, P.} \begin{chunk}{ignore} \bibitem[Cohen 91]{CC91} Cohen, G.; Charpin, P.; (ed) EUROCODE '90 International Symposium on @@ -6314,6 +7547,10 @@ Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany \end{chunk} +\index{Conrad, Marc} +\index{French, Tim} +\index{Maple, Carsten} +\index{Pott, Sandra} \begin{chunk}{ignore} \bibitem[Conrad (a)]{CFMPxxa} author = "Conrad, Marc and French, Tim and Maple, Carsten and Pott, Sandra", @@ -6334,6 +7571,10 @@ Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany \end{chunk} +\index{Conrad, Marc} +\index{French, Tim} +\index{Maple, Carsten} +\index{Pott, Sandra} \begin{chunk}{axiom.bib} @misc{CFMPxxb, author = "Conrad, Marc and French, Tim and Maple, Carsten and Pott, Sandra", @@ -6351,6 +7592,9 @@ Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany \end{chunk} +\index{Cuypers, Hans} +\index{Hendriks, Maxim} +\index{Knopper, Jan Willem} \begin{chunk}{axiom.bib} @misc{Cuyp10, author = "Cuypers, Hans and Hendriks, Maxim and Knopper, Jan Willem", @@ -6365,6 +7609,9 @@ Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany \subsection{D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Dalmas, St\'ephane} +\index{Ga\"etano, Marc} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} @inproceedings{Dalm97, author = {Dalmas, St\'ephane and Ga\"etano, Marc and Watt, Stephen}, @@ -6385,6 +7632,7 @@ Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany \end{chunk} +\index{Dalmas, St\'ephane} \begin{chunk}{ignore} \bibitem[Dalmas 92]{Dal92} Dalmas, S. ``A polymorphic functional language applied to symbolic computation'' @@ -6394,6 +7642,7 @@ In Wang [Wan92] pp369-375 ISBN 0-89791-489-9 (soft cover) 0-89791-490-2 \end{chunk} +\index{Daly, Timothy} \begin{chunk}{axiom.bib} @misc{Daly88, author = "Daly, Timothy", @@ -6405,6 +7654,7 @@ In Wang [Wan92] pp369-375 ISBN 0-89791-489-9 (soft cover) 0-89791-490-2 \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore}TPDHERE \bibitem[Daly 02]{Dal02} Daly, Timothy ``Axiom as open source'' @@ -6415,6 +7665,7 @@ CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore} \bibitem[Daly 03]{Dal03} Daly, Timothy ``The Axiom Wiki Website'' @@ -6423,6 +7674,7 @@ CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore} \bibitem[Daly 06]{Dal06} Daly, Timothy ``Axiom Volume 1: Tutorial'' @@ -6433,6 +7685,7 @@ Suite 300, Morrisville, NC 27560 USA, 2006 ISBN 141166597X 287pp \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore} \bibitem[Daly 09]{Dal09} Daly, Timothy ``The Axiom Literate Documentation'' @@ -6441,6 +7694,7 @@ Suite 300, Morrisville, NC 27560 USA, 2006 ISBN 141166597X 287pp \end{chunk} +\index{Daly, Timothy} \begin{chunk}{ignore} \bibitem[Daly 13]{Dal13} Daly, Timothy ``Literate Programming in the Large'' @@ -6452,6 +7706,7 @@ April 8-9, 2013 Portland Oregon \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 79a]{Dav79a} Davenport, J.H. ``What can SCRATCHPAD/370 do?'' @@ -6460,6 +7715,8 @@ VM/370 SPAD.SCRIPTS August 24, 1979 SPAD.SCRIPT \end{chunk} +\index{Davenport, James H.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Davenport 80]{Dav80} Davenport, J.H.; Jenks, R.D. ``MODLISP -- an Introduction'' @@ -6468,6 +7725,15 @@ Proc LISP80, 1980, and IBM RC8357 Oct 1980 \end{chunk} +\index{Davenport, James H.} +\index{Gianni, Patrizia} +\index{Jenks, Richard D.} +\index{Miller, Victor} +\index{Morrison, Scott C.} +\index{Rothstein, Michael} +\index{Sundaresan, Christine} +\index{Sutor, Robert S.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Davenport 84]{DGJ84} Davenport, J.; Gianni, P.; Jenks, R.; Miller, V.; Morrison, S.; Rothstein, M.; Sundaresan, C.; Sutor, R.; @@ -6478,6 +7744,7 @@ Mathematical Sciences Department, IBM Thomas Watson Research Center 1984 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 84a]{Dav84a} Davenport, James H. ``A New Algebra System'' @@ -6486,6 +7753,7 @@ Mathematical Sciences Department, IBM Thomas Watson Research Center 1984 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 85]{Dav85} Davenport, James H. ``The LISP/VM Foundation of Scratchpad II'' @@ -6495,6 +7763,9 @@ IBM Corporation, Yorktown Heights, NY \end{chunk} +\index{Davenport, James H.} +\index{Siret, Y.} +\index{Tournier, E.} \begin{chunk}{ignore} \bibitem[Davenport 88]{DST88} Davenport, J.H.; Siret, Y.; Tournier, E. Computer Algebra: Systems and Algorithms for Algebraic Computation. @@ -6505,6 +7776,7 @@ Academic Press, New York, NY, USA, 1988, ISBN 0-12-204232-9 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 14]{Dav14} Davenport, James H. ``Computer Algebra textbook'' @@ -6514,6 +7786,7 @@ Academic Press, New York, NY, USA, 1988, ISBN 0-12-204232-9 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 89]{Dav89} Davenport, J.H. (ed) EUROCAL '87 European Conference on Computer Algebra Proceedings @@ -6523,6 +7796,8 @@ UK / etc., 1989 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987 \end{chunk} +\index{Davenport, James H.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Davenport 90]{DT90} Davenport, J. H.; Trager, B. M. ``Scratchpad's view of algebra I: Basic commutative algebra'' @@ -6533,6 +7808,9 @@ Report, ATR/1, NAG Ltd., Oxford, 1992 \end{chunk} +\index{Davenport, James H.} +\index{Gianni, Patrizia} +\index{Trager, Barry M.} \begin{chunk}{axiom.bib} @inproceedings{Dave91, author = "Davenport, J. H. and Gianni, P. and Trager, B. M.", @@ -6577,6 +7855,9 @@ Report, ATR/1, NAG Ltd., Oxford, 1992 \end{chunk} +\index{Davenport, James H.} +\index{Gianni, Patrizia} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Davenport 92]{DGT92} Davenport, J. H.;, Gianni, P.; Trager, B. M. ``Scratchpad's view of algebra II: A categorical view of factorization'' @@ -6587,6 +7868,7 @@ Downer's Grove, IL, USA and Oxford, UK, December 1992 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 92a]{Dav92a} Davenport, J. H. ``The AXIOM system'' @@ -6598,6 +7880,7 @@ Oxford, UK, December 1992 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 92b]{Dav92b} Davenport, J. H. ``How does one program in the AXIOM system?'' @@ -6616,6 +7899,8 @@ Grove, IL, USA and Oxford, UK December 1992 \end{chunk} +\index{Davenport, James H.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Davenport 92c]{DT92} Davenport, J. H.; Trager, B. M. ``Scratchpad's view of algebra I: Basic commutative algebra'' @@ -6628,6 +7913,7 @@ December 1992. \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 93]{Dav93} Davenport, J. H. ``Primality testing revisited'' @@ -6638,6 +7924,8 @@ Downer's Grove, IL, USA and Oxford, UK, August 1993 \end{chunk} +\index{Davenport, James H.} +\index{Faure, Christ\'ele} \begin{chunk}{ignore} \bibitem[Davenport (a)]{DFxx} Davenport, James; Faure, Christ\'ele ``The Unknown in Computer Algebra'' @@ -6654,6 +7942,7 @@ Downer's Grove, IL, USA and Oxford, UK, August 1993 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 00]{Dav00} Davenport, James ``13th OpenMath Meeting'' @@ -6666,6 +7955,7 @@ May 1984 \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 12]{Dav12} Davenport, J.H. ``Computer Algebra'' @@ -6674,14 +7964,7 @@ May 1984 \end{chunk} -\begin{chunk}{ignore} -\bibitem[Davenport (b)]{DSTxx} Davenport, J. H.; Siret; Tournier -``Computer Algebra'' \hfill -\verb|staff.bath.ac.uk/masjhd/masternew.pdf| - keywords = "axiomref", - -\end{chunk} - +\index{Dewar, Mike C.} \begin{chunk}{ignore} \bibitem[Dewar 94]{Dew94} Dewar, M. C. ``Manipulating Fortran Code in AXIOM and the AXIOM-NAG Link'' @@ -6691,6 +7974,7 @@ and Laine, M. and Valkeila, E. pp1-12 University of Helsinki, Finland (1994) \end{chunk} +\index{Dewar, Mike C.} \begin{chunk}{axiom.bib} @misc{Dewa, author = "Dewar, Mike", @@ -6702,6 +7986,8 @@ and Laine, M. and Valkeila, E. pp1-12 University of Helsinki, Finland (1994) \end{chunk} +\index{Dicrescenzo, C.} +\index{Duval, Dominique} \begin{chunk}{ignore} \bibitem[Dicrescenzo 89]{DD89} Dicrescenzo, C.; Duval, D. ``Algebraic extensions and algebraic closure in Scratchpad II'' @@ -6711,6 +7997,8 @@ LCCN QA76.95.I57 1998 Conference held jointly with AAECC-6 \end{chunk} +\index{Dingle, Adam} +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Dingle 94]{Din94} Dingle, Adam; Fateman, Richard ``Branch Cuts in Computer Algebra'' @@ -6735,6 +8023,7 @@ LCCN QA76.95.I57 1998 Conference held jointly with AAECC-6 \end{chunk} +\index{Dooley, Sam} \begin{chunk}{ignore} \bibitem[Dooley 99]{Doo99} Dooley, Sam editor. ISSAC 99: July 29-31, 1999, Simon Fraser University, @@ -6745,6 +8034,7 @@ ISBN 1-58113-073-2 LCCN QA76.95.I57 1999 \end{chunk} +\index{Dos Reis, Gabriel} \begin{chunk}{ignore} \bibitem[Dos Reis 12]{DR12} Dos Reis, Gabriel ``A System for Axiomatic Programming'' @@ -6764,6 +8054,7 @@ Proc. Conf. on Intelligent Computer Mathematics, Springer (2012) } \end{chunk} +\index{Doye, Nicolas James} \begin{chunk}{ignore} \bibitem[Doye 97]{Doy97} Doye, Nicolas James ``Order Sorted Computer Algebra and Coercions'' @@ -6803,6 +8094,7 @@ Ph.D. Thesis University of Bath 1997 \end{chunk} +\index{Doye, Nicolas James} \begin{chunk}{ignore} \bibitem[Doye 99]{Doy99} Doye, Nicolas J. ``Automated coercion for Axiom'' @@ -6813,6 +8105,8 @@ ISBN 1-58113-073-2 LCCN QA76.95.I57 1999 ACM Press \end{chunk} +\index{Dom\'inguez, C\'esar} +\index{Rubio, Julio} \begin{chunk}{ignore} \bibitem[Dominguez 01]{DR01} Dom\'inguez, C\'esar; Rubio, Julio ``Modeling Inheritance as Coercion in a Symbolic Computation System'' @@ -6832,8 +8126,11 @@ ISSAC 2001 ACM 1-58113-417-7/01/0007 \end{chunk} +\index{Dunstan, Martin} +\index{Martin, Ursula} +\index{Linton, Steve A.} \begin{chunk}{ignore} -\bibitem[Dunstan 97]{Dun97} Dunstan, Martin and Ursula, Martin and +\bibitem[Dunstan 97]{Dun97} Dunstan, Martin and Martin, Ursula and Linton, Steve ``Embedded Verification Techniques for Computer Algebra Systems'' Grant citation GR/L48256 Nov 1, 1997-Feb 28, 2001 @@ -6842,6 +8139,12 @@ Grant citation GR/L48256 Nov 1, 1997-Feb 28, 2001 \end{chunk} +\index{Adams, Andrew A.} +\index{Dunstan, Martin} +\index{Gottlieben, Hanne} +\index{Kelsey, Tom} +\index{Martin, Ursula} +\index{Owre, Sam} \begin{chunk}{ignore} \bibitem[Adams 01]{DGKM01} Adams, Andrew; Dunstan, Martin; Gottliebsen, Hanne; Kelsey, Tom; Martin, Ursula; Owre, Sam @@ -6862,8 +8165,10 @@ TPHOLS 2001, Edinburgh \end{chunk} +\index{Duval, Dominique} +\index{Jung, F.} \begin{chunk}{ignore} -\bibitem[Duval 92]{DJ92} Duval D.; Jung, F. +\bibitem[Duval 92]{DJ92} Duval, D.; Jung, F. ``Examples of problem solving using computer algebra'' IFIP Transactions. A. Computer Science and Technology, A-2 pp133-141, 143 1992 CODEN ITATEC. ISSN 0926-5473 @@ -6871,6 +8176,7 @@ CODEN ITATEC. ISSN 0926-5473 \end{chunk} +\index{Duval, Dominique} \begin{chunk}{ignore} \bibitem[Duval 94]{Duv94} Duval, Dominique ``Symbolic or algebraic computation?'' @@ -6879,6 +8185,7 @@ Madrid Spain, NAG conference (private copy of paper) \end{chunk} +\index{Duval, Dominique} \begin{chunk}{axiom.bib} @article{Duva95, author = "Duval, D.", @@ -6894,6 +8201,8 @@ Madrid Spain, NAG conference (private copy of paper) \subsection{E} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Er\"ocal, Burcin} +\index{Stein, William} \begin{chunk}{ignore} \bibitem[Erocal 10]{ES10} Er\"ocal, Burcin; Stein, William ``The Sage Project'' @@ -6912,6 +8221,7 @@ Madrid Spain, NAG conference (private copy of paper) \subsection{F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Fateman 90]{Fat90} Fateman, R. J. ``Advances and trends in the design and construction of algebraic @@ -6921,6 +8231,7 @@ In Watanabe and Nagata [WN90], pp60-67 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 \end{chunk} +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Fateman 05]{Fat05} Fateman, R. J. ``An incremental approach to building a mathematical expert out of software'' @@ -6931,6 +8242,7 @@ In Watanabe and Nagata [WN90], pp60-67 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 \end{chunk} +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Fateman 06]{Fat06} Fateman, R. J. ``Building Algebra Systems by Overloading Lisp'' @@ -6958,6 +8270,8 @@ In Watanabe and Nagata [WN90], pp60-67 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 \end{chunk} +\index{Faure, Christ\'ele} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Faure 00a]{FDN00a} Faure, Christ\'ele; Davenport, James ``Parameters in Computer Algebra'' @@ -6965,6 +8279,8 @@ In Watanabe and Nagata [WN90], pp60-67 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 \end{chunk} +\index{Faure, Christ\'ele} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Faure 00b]{FDN00b} Faure, Christ\'ele; Davenport, James; Naciri, Hanane @@ -6999,6 +8315,7 @@ Automatique Sept. 2000 No. 4001 \end{chunk} +\index{Fitch, John P.} \begin{chunk}{ignore} \bibitem[Fitch 84]{Fit84} Fitch, J. P. (ed) EUROSAM '84: International Symposium on Symbolic and @@ -7010,6 +8327,7 @@ LCCN QA155.7.E4 I57 1984 \end{chunk} +\index{Fitch, John P.} \begin{chunk}{ignore} \bibitem[Fitch 93]{Fit93} Fitch, J. (ed) Design and Implementation of Symbolic Computation Systems @@ -7020,6 +8338,7 @@ Germany / Heildelberg, Germany / London, UK / etc., 1993. ISBN 0-387-57272-4 \end{chunk} +\index{Fogus, Michael} \begin{chunk}{ignore} \bibitem[Fogus 11]{Fog11} Fogus, Michael ``UnConj'' @@ -7028,6 +8347,7 @@ Germany / Heildelberg, Germany / London, UK / etc., 1993. ISBN 0-387-57272-4 \end{chunk} +\index{Fortenbacher, A.} \begin{chunk}{ignore} \bibitem[Fortenbacher 90]{For90} Fortenbacher, A. ``Efficient type inference and coercion in computer algebra'' @@ -7037,6 +8357,7 @@ In Miola [Mio90], pp56-60. ISBN 0-387-52531-9 (New York), 3-540-52531-9 \end{chunk} +\index{Fouche, Francois} \begin{chunk}{ignore} \bibitem[Fouche 90]{Fou90} Fouche, Francois ``Une implantation de l'algorithme de Kovacic en Scratchpad'' @@ -7064,6 +8385,8 @@ Strasbourg, France, 1990 31pp \subsection{G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Gebauer, R{\"u}diger} +\index{M{\"o}ller, H. Michael} \begin{chunk}{ignore} \bibitem[Gebauer 86]{GM86} Gebauer, R{\"u}diger; M{\"o}ller, H. Michael ``Buchberger's algorithm and staggered linear bases'' @@ -7075,6 +8398,8 @@ ISBN 0-89791-199-7 LCCN QA155.7.E4 A281 1986 ACM order number 505860 \end{chunk} +\index{Gebauer, R{\"u}diger} +\index{M{\"o}ller, H. Michael} \begin{chunk}{ignore} \bibitem[Gebauer 88]{GM88} Gebauer, R.; M{\"o}ller, H. M. ``On an installation of Buchberger's algorithm'' @@ -7100,6 +8425,9 @@ CODEN JSYCEH ISSN 0747-7171 \end{chunk} +\index{Geddes, K. O.} +\index{Czapor, S.R.} +\index{Labahn, George} \begin{chunk}{axiom.bib} @book{Gedd92, author = "Geddes, Keith and Czapor, O. and Stephen R. and Labahn, George", @@ -7113,6 +8441,7 @@ CODEN JSYCEH ISSN 0747-7171 \end{chunk} +\index{Gianni, Patrizia} \begin{chunk}{ignore} \bibitem[Gianni 87]{Gia87} Gianni, Patrizia ``Primary Decomposition of Ideals'' @@ -7121,6 +8450,8 @@ in [Wit87], pp12-13 \end{chunk} +\index{Gianni, Patrizia} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Gianni 88]{Gia88} Gianni, Patrizia.; Trager, Barry.; Zacharias, Gail. @@ -7134,6 +8465,7 @@ J. Symbolic Computation 6, 149-167 (1988) \end{chunk} +\index{Gianni, Patrizia} \begin{chunk}{ignore} \bibitem[Gianni 89a]{Gia89} Gianni, P. (Patrizia) (ed) Symbolic and Algebraic Computation. @@ -7145,6 +8477,8 @@ LCCN QA76.95.I57 1988 Conference held jointly with AAECC-6 \end{chunk} +\index{Gianni, Patrizia} +\index{Mora, T.} \begin{chunk}{ignore} \bibitem[Gianni 89b]{GM89} Gianni, P.; Mora, T. ``Algebraic solution of systems of polynomial equations using @@ -7154,6 +8488,7 @@ In Huguet and Poli [HP89], pp247-257 ISBN 3-540-51082-6 LCCN QA268.A35 1987 \end{chunk} +\index{Gil, I. } \begin{chunk}{ignore} \bibitem[Gil 92]{Gil92} Gil, I. ``Computation of the Jordan canonical form of a square matrix (using @@ -7165,6 +8500,7 @@ LCCN QA76.95.I59 1992 \end{chunk} +\index{G{\'o}mez-D{\'\i}az, Teresa} \begin{chunk}{ignore} \bibitem[Gomez-Diaz 92]{Gom92} G\'omez-D'iaz, Teresa ``Quelques applications de l`\'evaluation dynamique'' @@ -7173,6 +8509,7 @@ Ph.D. Thesis L'Universite De Limoges March 1992 \end{chunk} +\index{G{\'o}mez-D{\'\i}az, Teresa} \begin{chunk}{ignore} \bibitem[Gomez-Diaz 93]{Gom93} G\'omez-D\'iaz, Teresa ``Examples of using Dynamic Constructible Closure'' @@ -7189,6 +8526,9 @@ IMACS Symposium SC-1993 \end{chunk} +\index{Goodwin, B. M.} +\index{Buonopane, R. A.} +\index{Lee, A.} \begin{chunk}{ignore} \bibitem[Goodwin 91]{GBL91} Goodwin, B. M.; Buonopane, R. A.; Lee, A. ``Using MathCAD in teaching material and energy balance concepts'' @@ -7197,6 +8537,8 @@ In Anonymous [Ano91], pp345-349 (vol. 1) 2 vols. \end{chunk} +\index{Golden, V. Ellen} +\index{Hussain, M. A.} \begin{chunk}{ignore} \bibitem[Golden 4]{GH84} Golden, V. Ellen; Hussain, M. A. (eds) Proceedings of the 1984 MACSYMA Users' Conference: @@ -7206,6 +8548,7 @@ Schenectady, NY, USA, 1984 \end{chunk} +\index{Gonnet, Gaston H.} \begin{chunk}{ignore} \bibitem[Gonnet 96]{Gon96} Gonnet, Gaston H. ``Official verion 1.0 of the Meta Content Dictionary'' @@ -7214,6 +8557,8 @@ Schenectady, NY, USA, 1984 \end{chunk} +\index{Goodloe, A.} +\index{Loustaunau, Philippe} \begin{chunk}{ignore} \bibitem[Goodloe 93]{GL93} Goodloe, A.; Loustaunau, P. ``An abstract data type development of graded rings'' @@ -7223,6 +8568,9 @@ In Fitch [Fit93], pp193-202. ISBN 0-387-57272-4 (New York), \end{chunk} +\index{Gottlieben, Hanne} +\index{Kelsey, Tom} +\index{Martin, Ursula} \begin{chunk}{ignore} \bibitem[Gottliebsen 05]{GKM05} Gottliebsen, Hanne; Kelsey, Tom; Martin, Ursula @@ -7246,6 +8594,7 @@ Journal of Symbolic Computation, Vol39, Num 5, pp539-567 (2005) \end{chunk} +\index{Gr\"abe, Hans-Gert} \begin{chunk}{ignore} \bibitem[Grabe 98]{Gra98} Gr\"abe, Hans-Gert ``About the Polynomial System Solve Facility of Axiom, Macyma, Maple @@ -7262,6 +8611,9 @@ Mathematica, MuPAD, and Reduce'' \end{chunk} +\index{Grabmeier, Johannes} +\index{Huber, K.} +\index{Krieger, U.} \begin{chunk}{ignore} \bibitem[Grabmeier 91]{GHK91} Grabmeier, J.; Huber, K.; Krieger, U. ``Das ComputeralgebraSystem AXIOM bei kryptologischen und @@ -7273,6 +8625,8 @@ Zentrum, Heidelberg, Germany, 1991 \end{chunk} +\index{Grabmeier, Johannes} +\index{Scheerhorn, A.} \begin{chunk}{ignore} \bibitem[Grabmeier 92]{GS92} Grabmeier, J.; Scheerhorn, A. ``Finite fields in Axiom'' @@ -7285,6 +8639,8 @@ and Technical Report, IBM Heidelberg Scientific Center, 1992 \end{chunk} +\index{Grabmeier, Johannes} +\index{Kaltofen, Erich} \begin{chunk}{ignore} \bibitem[Grabmeier 03]{GKW03} Grabmeier, Johannes; Kaltofen, Erich; Weispfenning, Volker (eds) @@ -7297,6 +8653,8 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \end{chunk} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Griesmer 71]{GJ71} Griesmer, J. H.; Jenks, R.D. ``SCRATCHPAD/1 -- an interactive facility for symbolic mathematics'' @@ -7317,6 +8675,8 @@ Manipulation pp45-48 \end{chunk} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Griesmer 72a]{GJ72a} Griesmer, J.; Jenks, R. ``Experience with an online symbolic math system SCRATCHPAD'' @@ -7325,6 +8685,8 @@ in Online'72 [Onl72] ISBN 0-903796-02-3 LCCN QA76.55.O54 1972 Two volumes \end{chunk} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Griesmer 72b]{GJ72b} Griesmer, James H.; Jenks, Richard D. ``SCRATCHPAD: A capsule view'' @@ -7335,6 +8697,9 @@ James B. Morris (eds.). \end{chunk} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} +\index{Yun, David Y.Y} \begin{chunk}{ignore} \bibitem[Griesmer 75]{GJY75} Griesmer, J.H.; Jenks, R.D.; Yun, D.Y.Y ``SCRATCHPAD User's Manual'' @@ -7343,6 +8708,9 @@ IBM Research Publication RA70 June 1975 \end{chunk} +\index{Griesmer, James H.} +\index{Jenks, Richard D.} +\index{Yun, David Y.Y} \begin{chunk}{ignore} \bibitem[Griesmer 76]{GJY76} Griesmer, J.H.; Jenks, R.D.; Yun, D.Y.Y ``A Set of SCRATCHPAD Examples'' @@ -7351,6 +8719,8 @@ April 1976 (private copy) \end{chunk} +\index{Gruntz, Dominik} +\index{Monagan, Michael B.} \begin{chunk}{ignore} \bibitem[Gruntz 94]{GM94} Gruntz, D.; Monagan, M. ``Introduction to Gauss'' @@ -7360,6 +8730,7 @@ Manipulation), 28(3) pp3-19 August 1994 CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Gruntz, Dominik} \begin{chunk}{ignore} \bibitem[Gruntz 96]{Gru96} Gruntz, Dominik ``On Computing Limits in a Symbolic Manipulation System'' @@ -7390,6 +8761,7 @@ Diss. ETH No. 11432 \subsection{H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Boyle, Ann} \begin{chunk}{ignore} \bibitem[Boyle 88]{Boyl88} Boyle, Ann ``Future Directions for Research in Symbolic Computation'' @@ -7400,6 +8772,9 @@ Soc. for Industrial and Applied Mathematics, Philadelphia (1990) \end{chunk} +\index{Hassner, Martin} +\index{Burge, William H.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Hassner 87]{HBW87} Hassner, Martin; Burge, William H.; Watt, Stephen M. @@ -7410,6 +8785,7 @@ in [Wit87], pp5-8 \end{chunk} +\index{Heck, Andrew} \begin{chunk}{ignore} \bibitem[Heck 01]{Hec01} Heck, A. ``Variables in computer algebra, mathematics and science'' @@ -7419,6 +8795,8 @@ Vol. 8 No. 3 pp195-210 (2001) \end{chunk} +\index{Huguet, L.} +\index{Poli, A.} \begin{chunk}{ignore} \bibitem[Huguet 89]{HP89} Huguet, L.; Poli, A. (eds). Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. @@ -7431,6 +8809,9 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \subsection{J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Jacob, G.} +\index{Oussous, N. E.} +\index{Steinberg, S.} \begin{chunk}{ignore} \bibitem[Jacob 93]{JOS93} Jacob, G.; Oussous, N. E.; Steinberg, S. (eds) Proceedings SC 93 @@ -7440,6 +8821,7 @@ Developments. LIFL Univ. Lille, Lille France, 1993 \end{chunk} +\index{Jan{\ss}en, R.} \begin{chunk}{ignore} \bibitem[Janssen 88]{Jan88} Jan{\ss}en, R. (ed) Trends in Computer Algebra, International Symposium @@ -7451,6 +8833,7 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 69]{Jen69} Jenks, R. D. ``META/LISP: An interactive translator writing system'' @@ -7460,6 +8843,7 @@ Watson Research Center, Yorktown Heights, NY, USA, 1969 RC2968 July 1970 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 71]{Jen71} Jenks, R. D. ``META/PLUS: The syntax extension facility for SCRATCHPAD'' @@ -7470,6 +8854,7 @@ Watson Research Center, Yorktown Heights, NY, USA, 1971 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 74]{Jen74} Jenks, R. D. ``The SCRATCHPAD language'' @@ -7478,6 +8863,7 @@ ACM SIGPLAN Notices, 9(4) pp101-111 1974 CODEN SINODQ. ISSN 0362-1340 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jen76]{Jen76} Jenks, Richard D. ``A pattern compiler'' @@ -7490,6 +8876,7 @@ QA9.58.A11 1976 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 79]{Jen79} Jenks, R. D. ``MODLISP: An Introduction'' @@ -7498,6 +8885,8 @@ Proc EUROSAM 79, pp466-480, 1979 and IBMRC8073 Jan 1980 \end{chunk} +\index{Jenks, Richard D.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Jenks 81]{JT81} Jenks, R.D.; Trager, B.M. ``A Language for Computational Algebra'' @@ -7507,6 +8896,8 @@ Snowbird, Utah August, 1981 \end{chunk} +\index{Jenks, Richard D.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Jenks 81a]{JT81a} Jenks, R.D.; Trager, B.M. ``A Language for Computational Algebra'' @@ -7515,6 +8906,8 @@ SIGPLAN Notices, New York: Association for Computing Machiner, Nov 1981 \end{chunk} +\index{Jenks, Richard D.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Jenks 81b]{JT81b} Jenks, R.D.; Trager, B.M. ``A Language for Computational Algebra'' @@ -7523,6 +8916,7 @@ IBM Research Report RC8930 IBM Yorktown Heights, NY \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 84a]{Jen84a} Jenks, Richard D. ``The new SCRATCHPAD language and system for computer algebra'' @@ -7531,6 +8925,7 @@ In Golden and Hussain [GH84], pp409-?? \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 84b]{Jen84b} Jenks, Richard D. ``A primer: 11 keys to New Scratchpad'' @@ -7539,6 +8934,9 @@ In Fitch [Fit84], pp123-147. ISBN 0-387-13350-X LCCN QA155.7.E4 I57 1984 \end{chunk} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Jenks 86]{JWS86} Jenks, Richard D.; Sutor, Robert S.; Watt, Stephen M. @@ -7562,6 +8960,9 @@ Thomas J. Watson Research Center, Yorktown Heights, NY, USA, 1986 23pp \end{chunk} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Jenks 87]{JWS87} Jenks, Richard D.; Sutor, Robert S.; Watt, Stephen M. @@ -7572,6 +8973,9 @@ Springer Verlag, (1987) \end{chunk} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Jenks 88]{JSW88} Jenks, R. D.; Sutor, R. S.; Watt, S. M. ``Scratchpad II: An abstract datatype system for mathematical computation'' @@ -7581,6 +8985,7 @@ pp12-?? ISBN 3-540-18928-9, 0-387-18928-9 LCCN QA155.7.E4T74 1988 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 88a]{Jen88a} Jenks, R. D. ``A Guide to Programming in BOOT'' @@ -7590,6 +8995,7 @@ Draft September 5, 1988 \end{chunk} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Jenks 88b]{Jen88b} Jenks, Richard ``The Scratchpad II Computer Algebra System Interactive Environment Users @@ -7599,6 +9005,9 @@ Guide'' \end{chunk} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Jenks 88c]{JWS88} Jenks, R. D.; Sutor, R. S.; Watt, S. M. ``Scratchpad II: an abstract datatype system for mathematical computation'' @@ -7608,6 +9017,8 @@ In Jan{\ss}en \end{chunk} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} \begin{chunk}{axiom.bib} @book{Jenk92, author = "Jenks, Richard D. and Sutor, Robert S.", @@ -7620,6 +9031,8 @@ In Jan{\ss}en \end{chunk} +\index{Jenks, Richard D.} +\index{Trager, Barry M.} \begin{chunk}{ignore} \bibitem[Jenks 94]{JT94} Jenks, R. D.; Trager, B. M. ``How to make AXIOM into a Scratchpad'' @@ -7629,6 +9042,8 @@ In ACM [ACM94], pp32-40 ISBN 0-89791-638-7 LCCN QA76.95.I59 1994 \end{chunk} +\index{Joswig, Michael} +\index{Takayama, Nobuki} \begin{chunk}{ignore} \bibitem[Joswig 03]{JT03} Joswig, Michael; Takayama, Nobuki ``Algebra, geometry, and software systems'' @@ -7637,6 +9052,7 @@ Springer-Verlag ISBN 3-540-00256-1 p291 \end{chunk} +\index{Joyner, David} \begin{chunk}{ignore} \bibitem[Joyner 06]{J006} Joyner, David ``OSCAS - Maxima'' @@ -7646,6 +9062,7 @@ SIGSAM Communications in Computer Algebra, 157 2006 \end{chunk} +\index{Joyner, David} \begin{chunk}{ignore} \bibitem[Joyner 14]{JO14} Joyner, David ``Links to some open source mathematical programs'' @@ -7656,6 +9073,7 @@ SIGSAM Communications in Computer Algebra, 157 2006 \subsection{K} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kauers, Manuel} \begin{chunk}{ignore} \bibitem[Kauers 08]{Kau08} Kauers, Manuel ``Integration of Algebraic Functions: A Simple Heuristic for Finding @@ -7674,6 +9092,8 @@ ISSAC July 2008 ACM 978-1-59593-904 pp133-140 \end{chunk} +\index{Keady, G.} +\index{Nolan, G.} \begin{chunk}{ignore} \bibitem[Keady 94]{KN94} Keady, G.; Nolan, G. ``Production of Argument SubPrograms in the AXIOM -- NAG @@ -7686,6 +9106,7 @@ Oxford, UK, 1994 \end{chunk} +\index{Kelsey, Tom} \begin{chunk}{ignore} \bibitem[Kelsey 99]{Kel99} Kelsey, Tom ``Formal Methods and Computer Algebra: A Larch Specification of AXIOM @@ -7695,6 +9116,7 @@ Ph.D. Thesis, University of St Andrews, 1999 \end{chunk} +\index{Kelsey, Tom} \begin{chunk}{ignore} \bibitem[Kelsey 00a]{Kel00a} Kelsey, Tom ``Formal specification of computer algebra'' @@ -7713,6 +9135,7 @@ University of St Andrews, 6th April 2000 \end{chunk} +\index{Kelsey, Tom} \begin{chunk}{ignore} \bibitem[Kelsey 00b]{Kel00b} Kelsey, Tom ``Formal specification of computer algebra'' @@ -7722,6 +9145,7 @@ University of St Andrews, 6th April 2000 \end{chunk} +\index{Kendall, W.S.} \begin{chunk}{ignore} \bibitem[Kendall 99a]{Ken99a} Kendall, W.S. ``Itovsn3 in AXIOM: modules, algebras and stochastic differentials'' @@ -7731,6 +9155,7 @@ University of St Andrews, 6th April 2000 \end{chunk} +\index{Kendall, W.S.} \begin{chunk}{ignore} \bibitem[Kendall 99b]{Ken99b} Kendall, W.S. ``Symbolic It\^o calculus in AXIOM: an ongoing story @@ -7740,8 +9165,9 @@ University of St Andrews, 6th April 2000 \end{chunk} +\index{Koseleff, P.-V.} \begin{chunk}{ignore} -\bibitem[Kosleff 91]{Kos91} P.-V. Koseleff +\bibitem[Kosleff 91]{Kos91} Koseleff, P.-V. ``Word games in free Lie algebras: several bases and formulas'' Theoretical Computer Science 79(1) pp241-256 Feb. 1991 CODEN TCSCDI ISSN 0304-3975 @@ -7749,6 +9175,9 @@ ISSN 0304-3975 \end{chunk} +\index{Kusche, K.} +\index{Kutzler, B.} +\index{Mayr, H.} \begin{chunk}{ignore} \bibitem[Kusche 89]{KKM89} Kusche, K.; Kutzler, B.; Mayr, H. ``Implementation of a geometry theorem proving package in SCRATCHPAD II'' @@ -7759,6 +9188,7 @@ In Davenport [Dav89] pp246-257 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987 \subsection{L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Lahey, Tim} \begin{chunk}{ignore} \bibitem[Lahey 08]{Lah08} Lahey, Tim ``Sage Integration Testing'' @@ -7767,6 +9197,7 @@ In Davenport [Dav89] pp246-257 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987 \end{chunk} +\index{Lambe, Larry A.} \begin{chunk}{ignore} \bibitem[Lambe 89]{Lam89} Lambe, L. A. ``Scratchpad II as a tool for mathematical research'' @@ -7775,6 +9206,7 @@ Notices of the AMS, February 1928 pp143-147 \end{chunk} +\index{Lambe, Larry A.} \begin{chunk}{ignore} \bibitem[Lambe 91]{Lam91} Lambe, L. A. ``Resolutions via homological perturbation'' @@ -7784,6 +9216,7 @@ CODEN JSYCEH ISSN 0747-7171 \end{chunk} +\index{Lambe, Larry A.} \begin{chunk}{ignore} \bibitem[Lambe 92]{Lam92} Lambe, Larry ``Next Generation Computer Algebra Systems AXIOM and the Scratchpad @@ -7815,6 +9248,7 @@ $21^{st}$ Nordic Congress of Mathematicians 1992 \end{chunk} +\index{Lambe, Larry A.} \begin{chunk}{ignore} \bibitem[Lambe 93]{Lam93} Lambe, Larry ``On Using Axiom to Generate Code'' @@ -7823,6 +9257,8 @@ $21^{st}$ Nordic Congress of Mathematicians 1992 \end{chunk} +\index{Lambe, Larry A.} +\index{Luczak, Richard} \begin{chunk}{ignore} \bibitem[Lambe 93a]{LL93} Lambe, Larry; Luczak, Richard ``Object-Oriented Mathematical Programming and Symbolic/Numeric Interface'' @@ -7842,6 +9278,7 @@ $3^{rd}$ International Conf. on Expert Systems in Numerical Computing 1993 \end{chunk} +\index{Lebedev, Yuri} \begin{chunk}{ignore} \bibitem[Lebedev 08]{Leb08} Lebedev, Yuri ``OpenMath Library for Computing on Riemann Surfaces'' @@ -7851,6 +9288,7 @@ PhD thesis, Nov 2008 Florida State University \end{chunk} +\index{LeBlanc, S.E.} \begin{chunk}{ignore} \bibitem[LeBlanc 91]{LeB91} LeBlanc, S.E. ``The use of MathCAD and Theorist in the ChE classroom'' @@ -7859,6 +9297,7 @@ In Anonymous [Ano91], pp287-299 (vol. 1) 2 vols. \end{chunk} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{ignore} \bibitem[Lecerf 96]{Le96} Lecerf, Gr\'egoire ``Dynamic Evaluation and Real Closure Implementation in Axiom'' @@ -7869,6 +9308,7 @@ June 29, 1996 \end{chunk} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{ignore} \bibitem[Lecerf 96a]{Le96a} Lecerf, Gr\'egoire ``The Dynamic Real Closure implemented in Axiom'' @@ -7877,6 +9317,7 @@ June 29, 1996 \end{chunk} +\index{Levelt, A. H. M.} \begin{chunk}{ignore} \bibitem[Levelt 95]{Lev95} Levelt, A. H. M. (ed) ISSAC '95: Proceedings of the 1995 International @@ -7887,8 +9328,10 @@ ISBN 0-89791-699-9 LCCN QA76.95 I59 1995 ACM order number 505950 \end{chunk} +\index{Li, Xin} +\index{Maza, Marc Moreno} \begin{chunk}{ignore} -\bibitem[Li 06]{LM06} Li, Xin; Maza, Moreno +\bibitem[Li 06]{LM06} Li, Xin; Maza, Marc Moreno ``Efficient Implementation of Polynomial Arithmetic in a Multiple-Level Programming Environment'' Lecture Notes in @@ -7899,6 +9342,8 @@ Proceedings of International Congress of Mathematical Software ICMS 2006 \end{chunk} +\index{Li, Yue} +\index{Dos Reis, Gabriel} \begin{chunk}{ignore} \bibitem[Li 10]{YL10} Li, Yue; Dos Reis, Gabriel ``A Quantitative Study of Reductions in Algebraic Libraries'' @@ -7908,6 +9353,8 @@ PASCO 2010 \end{chunk} +\index{Li, Yue} +\index{Dos Reis, Gabriel} \begin{chunk}{ignore} \bibitem[Li 11]{YL11} Li, Yue; Dos Reis, Gabriel ``An Automatic Parallelization Framework for Algebraic Computation @@ -7922,6 +9369,8 @@ ISSAC 2011 \end{chunk} +\index{Ligatsikas, Zenon} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Ligatsikas 96]{Liga96} Ligatsikas, Zenon; Rioboo, Renaud; Roy, Marie Francoise @@ -7936,6 +9385,7 @@ Math. and Computers in Simulation 42 pp 541-549 (1996) \end{chunk} +\index{Linton, Steve A.} \begin{chunk}{ignore} \bibitem[Linton 93]{Lin93} Linton, Steve ``Vector Enumeration Programs, version 3.04'' @@ -7944,6 +9394,12 @@ Math. and Computers in Simulation 42 pp 541-549 (1996) \end{chunk} +\index{Liska, Richard} +\index{Drska, Ladislav} +\index{Limpouch, Jiri} +\index{Sinor, Milan} +\index{Wester, Michael J.} +\index{Winkler, Franz} \begin{chunk}{ignore} \bibitem[Liska 97]{LD97} Liska, Richard; Drska, Ladislav; Limpouch, Jiri; Sinor, Milan; Wester, Michael; Winkler, Franz @@ -7954,6 +9410,7 @@ June 2, 1997 \end{chunk} +\index{Lucks, Michael} \begin{chunk}{ignore} \bibitem[Lucks 86]{Luc86} Lucks, Michael ``A fast implementation of polynomial factorization'' @@ -7965,6 +9422,7 @@ LCCN QA155.7.E4 A281 1986 ACM order number 505860 \end{chunk} +\index{Lueken, E. } \begin{chunk}{ignore} \bibitem[Lueken 77]{Lue77} Lueken, E. ``Ueberlegungen zur Implementierung eines Formelmanipulationssystems'' @@ -7974,6 +9432,8 @@ Braunschweig. Braunschweig, Germany, 1977 \end{chunk} +\index{Lynch, R.} +\index{Mavromatis, H. A.} \begin{chunk}{ignore} \bibitem[Lynch 91]{LM91} Lynch, R.; Mavromatis, H. A. ``New quantum mechanical perturbation technique @@ -7986,6 +9446,7 @@ CODEN AJPIAS ISSN 0002-9505 \subsection{M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Mahboubi, Assia} \begin{chunk}{ignore} \bibitem[Mahboubi 05]{Mah05} Mahboubi, Assia ``Programming and certifying the CAD algorithm inside the coq system'' @@ -7995,6 +9456,7 @@ Seminar Proceedings, Schloss Dagstuhl (2005) \end{chunk} +\index{Mathews, J. } \begin{chunk}{ignore} \bibitem[Mathews 89]{Mat89} Mathews, J. ``Symbolic computational algebra applied to Picard iteration'' @@ -8004,6 +9466,7 @@ ISSN 0730-8639 \end{chunk} +\index{McJones, Paul} \begin{chunk}{ignore} \bibitem[McJones 11]{McJ11} McJones, Paul ``Software Presentation Group -- Common Lisp family'' @@ -8012,6 +9475,8 @@ ISSN 0730-8639 \end{chunk} +\index{Melachrinoudis, E.} +\index{Rumpf, D. L.} \begin{chunk}{ignore} \bibitem[Melachrinoudis 90]{MR90} Melachrinoudis, E.; Rumpf, D. L. ``Teaching advantages of transparent computer software -- MathCAD'' @@ -8020,6 +9485,7 @@ CoED, 10(1) pp71-76, January-March 1990 CODEN CWLJDP ISSN 0736-8607 \end{chunk} +\index{Miola, A.} \begin{chunk}{ignore} \bibitem[Miola 90]{Mio90} Miola, A. (ed) ``Design and Implementation of Symbolic Computation Systems'' @@ -8032,6 +9498,7 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \end{chunk} +\index{Miola, A.} \begin{chunk}{ignore} \bibitem[Miola 93]{Mio93} Miola, A. (ed) ``Design and Implementation of Symbolic Computation Systems'' @@ -8043,6 +9510,8 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \end{chunk} +\index{Missura, Stephan A.} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Missura 94]{Miss94} Missura, Stephan A.; Weber, Andreas ``Using Commutativity Properties for Controlling Coercions'' @@ -8066,6 +9535,7 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., \end{chunk} +\index{Monagan, Michael B.} \begin{chunk}{ignore} \bibitem[Monagan 87]{Mon87} Monagan, Michael B. ``Support for Data Structures in Scratchpad II'' @@ -8074,6 +9544,7 @@ in [Wit87], pp17-18 \end{chunk} +\index{Monagan, Michael B.} \begin{chunk}{ignore} \bibitem[Monagan 93]{Mon93} Monagan, M. B. ``Gauss: a parameterized domain of computation system with @@ -8083,6 +9554,7 @@ In Miola [Mio93], pp81-94 ISBN 3-540-57235-X LCCN QA76.9.S88I576 1993 \end{chunk} +\index{Mora, T.} \begin{chunk}{ignore} \bibitem[Mora 89]{Mor89} Mora, T. (ed) Applied Algebra, Algebraic Algorithms and Error-Correcting @@ -8095,6 +9567,7 @@ ISSAC '88 \end{chunk} +\index{Moses, Joel} \begin{chunk}{ignore} \bibitem[Moses 71]{Mos71} Moses, Joel ``Algebraic Simplification: A Guide for the Perplexed'' @@ -8103,6 +9576,7 @@ CACM August 1971 Vol 14 No. 8 pp527-537 \end{chunk} +\index{Moses, Joel} \begin{chunk}{ignore} \bibitem[Moses 08]{Mos08} Moses, Joel ``Macsyma: A Personal History'' @@ -8128,6 +9602,8 @@ Invited Presentation in Milestones in Computer Algebra, May 2008, Tobago \subsection{N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Naylor, William A.} +\index{Padget, Julian} \begin{chunk}{ignore} \bibitem[Naylor]{NPxx} Naylor, William; Padget, Julian ``From Untyped to Polymorphically Typed Objects in Mathematical Web @@ -8153,6 +9629,7 @@ Services'' \end{chunk} +\index{Naylor, William A.} \begin{chunk}{ignore} \bibitem[Naylor 95]{N95} Naylor, Bill ``Symbolic Interface for an advanced hyperbolic PDE solver'' @@ -8175,6 +9652,8 @@ Services'' \end{chunk} +\index{Naylor, William A.} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Naylor 00b]{ND00} Naylor, W.A.; Davenport, J.H. ``A Monte-Carlo Extension to a Category-Based Type System'' @@ -8198,6 +9677,7 @@ Services'' \end{chunk} +\index{Norman, Arthur C.} \begin{chunk}{ignore} \bibitem[Norman 75]{Nor75} Norman, A. C. ``Computing with formal power series'' @@ -8207,6 +9687,7 @@ Dec. 1975 CODEN ACMSCU ISSN 0098-3500 \end{chunk} +\index{Norman, Arthur C.} \begin{chunk}{ignore} \bibitem[Norman 75a]{Nor75a} Norman, A.C. ``The SCRATCHPAD Power Series Package'' @@ -8217,6 +9698,7 @@ IBM T.J. Watson Research RC4998 \subsection{O} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Ollivier, F.} \begin{chunk}{ignore} \bibitem[Ollivier 89]{Oll89} Ollivier, F. ``Inversibility of rational mappings and structural @@ -8245,6 +9727,7 @@ interactive computing, Brunel University, Uxbridge, England, 4-7 September \subsection{P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Page, William S.} \begin{chunk}{ignore} \bibitem[Page 07]{Pa07} Page, William S. ``Axiom - Open Source Computer Algebra System'' @@ -8253,6 +9736,7 @@ Poster ISSAC 2007 Proceedings Vol 41 No 3 Sept 2007 p114 \end{chunk} +\index{Petitot, Michel} \begin{chunk}{ignore} \bibitem[Petitot 90]{Pet90} Petitot, Michel ``Types r\'ecursifs en scratchpad, application aux polyn\^omes non @@ -8262,6 +9746,7 @@ LIFL, 1990 \end{chunk} +\index{Petitot, Michel} \begin{chunk}{ignore} \bibitem[Petitot 93]{Pet93} Petitot, M. ``Experience with Axiom'' @@ -8270,6 +9755,7 @@ In Jacob et al. [JOS93], page 240 \end{chunk} +\index{Petric, S. R.} \begin{chunk}{ignore} \bibitem[Petric 71]{Pet71} Petric, S. R. (ed) Proceedings of the second symposium on Symbolic and @@ -8279,6 +9765,7 @@ New York, NY 10036, USA, 1971. LCCN QA76.5.S94 1971 \end{chunk} +\index{Pinch, R.G.E.} \begin{chunk}{ignore} \bibitem[Pinch 93]{Pin93} Pinch, R.G.E. ``Some Primality Testing Algorithms'' @@ -8288,6 +9775,7 @@ Computers and Mathematics November 1993, Vol 40, Number 9 pp1203-1210 \end{chunk} +\index{Poll, Erik} \begin{chunk}{ignore} \bibitem[Poll (b)]{Polxx} Poll, Erik ``The type system of Axiom'' @@ -8296,6 +9784,7 @@ Computers and Mathematics November 1993, Vol 40, Number 9 pp1203-1210 \end{chunk} +\index{Purtilo, J.} \begin{chunk}{ignore} \bibitem[Purtilo 86]{Pur86} Purtilo, J. ``Applications of a software interconnection system in mathematical @@ -8309,6 +9798,7 @@ A281 1986 ACM order number 505860 \subsection{R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Joswig, Rainer} \begin{chunk}{ignore} \bibitem[Rainer 14]{Rain14} Joswig, Rainer ``2014: 30+ Years Common Lisp the Language'' @@ -8317,6 +9807,7 @@ A281 1986 ACM order number 505860 \end{chunk} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Rioboo 03a]{Riob03a} Rioboo, Renaud ``Quelques aspects du calcul exact avec des nombres r\'eels'' @@ -8326,6 +9817,7 @@ Ph.D. Thesis, Laboratoire d'Informatique Th\'eorique et Programmationg \end{chunk} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Rioboo 03]{Riob03} Rioboo, Renaud ``Towards Faster Real Algebraic Numbers'' @@ -8345,6 +9837,7 @@ J. of Symbolic Computation 36 pp 513-533 (2003) \end{chunk} +\index{Robidoux, Nicolas} \begin{chunk}{ignore} \bibitem[Robidoux 93]{Rob93} Robidoux, Nicolas ``Does Axiom Solve Systems of O.D.E's Like Mathematica?'' @@ -8367,6 +9860,7 @@ July 1993 \end{chunk} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Rioboo 92]{Rio92} Rioboo, R. ``Real algebraic closure of an ordered field, implementation in Axiom'' @@ -8386,6 +9880,7 @@ In Wang [Wan92], pp206-215 ISBN 0-89791-489-9 (soft cover) \end{chunk} +\index{Roesner, K. G.} \begin{chunk}{ignore} \bibitem[Roesner 95]{Roe95} Roesner, K. G. ``Verified solutions for parameters of an exact solution for @@ -8397,6 +9892,7 @@ Mathematik und Physik, 75 (suppl. 2):S435-S438, 1995 ISSN 0044-2267 \subsection{S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Stein, William} \begin{chunk}{ignore} \bibitem[Sage 14]{Sage14} Stein, William ``Sage'' @@ -8405,6 +9901,7 @@ Mathematik und Physik, 75 (suppl. 2):S435-S438, 1995 ISSN 0044-2267 \end{chunk} +\index{Salvy, Bruno} \begin{chunk}{ignore} \bibitem[Salvy 89]{Sal89} Salvy, B. ``Examples of automatic asymptotic expansions'' @@ -8414,6 +9911,7 @@ Inst. Nat. Recherche Inf. Autom., Le Chesnay, France, Dec. 1989 18pp \end{chunk} +\index{Salvy, Bruno} \begin{chunk}{ignore} \bibitem[Salvy 91]{Sal91} Salvy, B. ``Examples of automatic asymptotic expansions'' @@ -8424,6 +9922,7 @@ April 1991 CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Saunders, B. David} \begin{chunk}{axiom.bib} @article{Saun80, author = "Saunders, B. David", @@ -8448,6 +9947,7 @@ April 1991 CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Sch\"u, J.} \begin{chunk}{ignore} \bibitem[Schu 92]{Sch92} Sch\"u, J. ``Implementing des Cartan-Kuranishi-Theorems in AXIOM'' @@ -8457,6 +9957,7 @@ Kognitive Systeme, Universit\"t Karlsruhe 1992 \end{chunk} +\index{Schwarz, F.} \begin{chunk}{ignore} \bibitem[Schwarz 88]{Sch88} Schwarz, F. ``Programming with abstract data types: the symmetry package SPDE @@ -8467,6 +9968,7 @@ In Jan{\ss}en [Jan88], pp167-176, ISBN 3-540-18928-9, \end{chunk} +\index{Schwarz, F.} \begin{chunk}{ignore} \bibitem[Schwarz 89]{Sch89} Schwarz, F. ``A factorization algorithm for linear ordinary differential equations'' @@ -8475,6 +9977,7 @@ In ACM [ACM89], pp17-25 ISBN 0-89791-325-6 LCCN QA76.95.I59 1989 \end{chunk} +\index{Schwarz, F.} \begin{chunk}{ignore} \bibitem[Schwarz 91]{Sch91} Schwarz, F. ``Monomial orderings and Gr{\"o}bner bases'' @@ -8484,6 +9987,7 @@ Manipulation) 2591) pp10-23 Jan. 1991 CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Seiler 94]{Sei94} Seiler, Werner Markus ``Analysis and Application of the Formal Theory of Partial Differential @@ -8514,6 +10018,7 @@ PhD thesis, School of Physics and Materials, Lancaster University (1994) \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Seiler 94a]{Sei94a} Seiler, W.M. ``Completion to involution in AXIOM'' @@ -8522,6 +10027,7 @@ in Calmet [Cal94] pp103-104 \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Sieler 94b]{Sei94b} Seiler, W.M. ``Pseudo differential operators and integrable systems in AXIOM'' @@ -8537,6 +10043,7 @@ ISSN 0010-4655 \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Seiler 95]{Sei95} Seiler, W.M. ``Applying AXIOM to partial differential equations'' @@ -8557,6 +10064,8 @@ Internal Report 95-17, Universit\"at Karlsruhe, Fakult\"at f\"ur Informatik \end{chunk} +\index{Seiler, Werner Markus} +\index{Calmet, J.} \begin{chunk}{ignore} \bibitem[Seiler 95b]{SC95} Seiler, W.M.; Calmet, J. ``JET -- An Axiom Environment for Geometric Computations with Differential @@ -8574,6 +10083,7 @@ Equations'' \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Seiler 97]{Sei97} Seiler, Werner M. ``Computer Algebra and Differential Equations: An Overview'' @@ -8588,6 +10098,7 @@ Equations'' \end{chunk} +\index{Seiler, Werner Markus} \begin{chunk}{ignore} \bibitem[Seiler (a)]{Seixx} Seiler, W.M. ``DETools: A Library for Differential Equations'' @@ -8596,6 +10107,8 @@ Equations'' \end{chunk} +\index{Shannon, D.} +\index{Sweedler, M.} \begin{chunk}{ignore} \bibitem[Shannon 88]{SS88} Shannon, D.; Sweedler, M. ``Using Gr{\"o}bner bases to determine algebra @@ -8607,6 +10120,7 @@ Oct.-Dec. 1988 CODEN JSYCEH ISSN 0747-7171 \end{chunk} +\index{Sit, William Y.} \begin{chunk}{ignore} \bibitem[Sit 89]{Sit89} Sit, W.Y. ``On Goldman's algorithm for solving first-order multinomial @@ -8616,6 +10130,7 @@ LCCN QA268.A35 1998 Conference held jointly with ISSAC '88 \end{chunk} +\index{Sit, William Y.} \begin{chunk}{ignore} \bibitem[Sit 92]{Sit92} Sit, W.Y. ``An algorithm for solving parametric linear systems'' @@ -8642,6 +10157,7 @@ ISSN 0747-7171 \end{chunk} +\index{Sit, Emil} \begin{chunk}{ignore} \bibitem[Sit 06]{Sit06} Sit, Emil ``Tools for Repeatable Research'' @@ -8650,6 +10166,7 @@ ISSN 0747-7171 \end{chunk} +\index{Smedley, Trevor J.} \begin{chunk}{ignore} \bibitem[Smedley 92]{Sme92} Smedley, Trevor J. ``Using pictorial and object oriented programming for computer algebra'' @@ -8662,6 +10179,9 @@ LCCN QA76.76.A65 S95 1992 \end{chunk} +\index{Smith, Jacob} +\index{Dos Reis, Gabriel} +\index{Jarvi, Jaakko} \begin{chunk}{ignore} \bibitem[Smith 07]{SDJ07} Smith, Jacob; Dos Reis, Gabriel; Jarvi, Jaakko ``Algorithmic differentiation in Axiom'' @@ -8688,6 +10208,9 @@ Physics, pp337-344, Acireale (Italy), 1992 Kluwer, Dordrecht 1993 \end{chunk} +\index{Senechaud, P.} +\index{Siebert, F.} +\index{Villard, Gilles} \begin{chunk}{ignore} \bibitem[SSV87]{SSV87} Senechaud, P.; Siebert, F.; Villard G. ``Scratchpad II: Pr{\'e}sentation d'un nouveau langage de calcul formel'' @@ -8696,6 +10219,8 @@ Technical Report 640-M, TIM 3 (IMAG), Grenoble, France, Feb 1987 \end{chunk} +\index{Steele, Guy L.} +\index{Gabriel, Richard P.} \begin{chunk}{ignore} \bibitem[Steele]{Steele} Steele, Guy L.; Gabriel, Richard P. ``The Evolution of Lisp'' @@ -8704,6 +10229,7 @@ Technical Report 640-M, TIM 3 (IMAG), Grenoble, France, Feb 1987 \end{chunk} +\index{Sutor, Robert S.} \begin{chunk}{ignore} \bibitem[Sutor 85]{Sut85} Sutor, R.S. ``The Scratchpad II computer algebra language and system'' @@ -8713,6 +10239,8 @@ In Buchberger and Caviness [BC85], pp32-33 ISBN 0-387-15983-5 (vol. 1), \end{chunk} +\index{Sutor, Robert S.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Sutor 87a]{SJ87a} Sutor, R. S.; Jenks, R. D. ``The type inference and coercion facilities in @@ -8723,6 +10251,7 @@ ISBN 0-89791-235-7 LCCN QA76.7.S54 v22:7 SIGPLAN Notices, v22 n7 (July 1987) \end{chunk} +\index{Sutor, Robert S.} \begin{chunk}{ignore} \bibitem[Sutor 87b]{Su87} Sutor, Robert S. ``The Scratchpad II Computer Algebra System. Using and @@ -8732,6 +10261,8 @@ IBM Course presentation slide deck Spring 1987 \end{chunk} +\index{Sutor, Robert S.} +\index{Jenks, Richard D.} \begin{chunk}{ignore} \bibitem[Sutor 87c]{SJ87c} Sutor, Robert S.; Jenks, Richard ``The type inference and coercion facilities @@ -8754,6 +10285,7 @@ IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA, 1987, 11pp \end{chunk} +\index{Sutor, Robert S.} \begin{chunk}{ignore} \bibitem[Sutor 88]{Su88} Sutor, Robert S. ``A guide to programming in the scratchpad 2 interpreter'' @@ -8764,6 +10296,7 @@ IBM Manual, March 1988 \subsection{T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Thompson, Simon} \begin{chunk}{ignore} \bibitem[Thompson 00]{Tho00} Thompson, Simon ``Logic and dependent types in the Aldor Computer Algebra System'' @@ -8780,6 +10313,8 @@ IBM Manual, March 1988 \end{chunk} +\index{Thompson, Simon} +\index{Timochouk, Leonid} \begin{chunk}{ignore} \bibitem[Thompson (a)]{TTxx} Thompson, Simon; Timochouk, Leonid ``The Aldor\-\- language'' @@ -8801,6 +10336,7 @@ IBM Manual, March 1988 \end{chunk} +\index{Touratier, Emmanuel} \begin{chunk}{ignore} \bibitem[Touratier 98]{Tou98} Touratier, Emmanuel ``Etude du typage dans le syst\`eme de calcul scientifique Aldor'' @@ -8812,6 +10348,7 @@ Universit\'e de Limoges 1998 \subsection{V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{van der Hoeven, Joris} \begin{chunk}{ignore} \bibitem[van der Hoeven 14]{JvdH14} van der Hoeven, Joris ``Computer algebra systems and TeXmacs'' @@ -8820,6 +10357,7 @@ Universit\'e de Limoges 1998 \end{chunk} +\index{van Hoeij, Mark} \begin{chunk}{axiom.bib} @article{Hoei94, author = "{van Hoeij}, M.", @@ -8856,6 +10394,8 @@ Universit\'e de Limoges 1998 \end{chunk} +\index{van Hoeij, Mark} +\index{Novocin, Andrew} \begin{chunk}{axiom.bib} @misc{Hoei08, author = "{van Hoeij}, Mark and Novocin, Andrew", @@ -8875,6 +10415,7 @@ Universit\'e de Limoges 1998 \end{chunk} +\index{Vasconcelos, Wolmer} \begin{chunk}{ignore} \bibitem[Vasconcelos 99]{Vas99} Vasconcelos, Wolmer ``Computational Methods in Commutative Algebra and Algebraic Geometry'' @@ -8886,6 +10427,7 @@ ISBN 3-540-21311-2 \subsection{W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Wang, Dongming} \begin{chunk}{ignore} \bibitem[Wang 89]{Wan89} Wang, D. ``A program for computing the Liapunov functions and Liapunov @@ -8897,6 +10439,7 @@ CODEN SIGSBZ ISSN 0163-5824 \end{chunk} +\index{Wang, Dongming} \begin{chunk}{ignore} \bibitem[Wang 91]{Wan91} Wang, Dongming ``Mechanical manipulation for a class of differential systems'' @@ -8906,6 +10449,7 @@ CODEN JSYCEH ISSN 0747-7171 \end{chunk} +\index{Wang, Paul S.} \begin{chunk}{ignore} \bibitem[Wang 92]{Wan92} Wang, Paul S. (ed) International System Symposium on Symbolic and @@ -8916,6 +10460,8 @@ LCCN QA76.95.I59 1992 \end{chunk} +\index{Watanabe, Shunro} +\index{Nagata, Morio} \begin{chunk}{ignore} \bibitem[Watanabe 90]{WN90} Watanabe, Shunro; Nagata, Morio; (ed) ISSAC '90 Proceedings of the @@ -8925,6 +10471,7 @@ New York, NY, 10036, USA. 1990 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990 \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 85]{Wat85} Watt, Stephen ``Bounded Parallelism in Computer Algebra'' @@ -8934,6 +10481,7 @@ PhD Thesis, University of Waterloo \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 86]{Wat86} Watt, S.M.; Della Dora, J. ``Algebra Snapshot: Linear Ordinary Differential Operators'' @@ -8943,6 +10491,7 @@ Scratchpad II Newsletter: Vol 1 Num 2 (Jan 1986) \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 87]{Wat87} Watt, Stephen ``Domains and Subdomains in Scratchpad II'' @@ -8951,6 +10500,8 @@ in [Wit87], pp3-5 \end{chunk} +\index{Watt, Stephen M.} +\index{Burge, William H.} \begin{chunk}{ignore} \bibitem[Watt 87a]{WB87} Watt, Stephen M.; Burge, William H. ``Mapping as First Class Objects'' @@ -8959,6 +10510,7 @@ in [Wit87], pp13-17 \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 89]{Wat89} Watt, S. M. ``A fixed point method for power series computation'' @@ -8968,8 +10520,12 @@ In Gianni [Gia89], pp206-217 ISBN 3-540-51084-2 LCCN QA76.95.I57 \end{chunk} +\index{Watt, Stephen M.} +\index{Jenks, Richard D.} +\index{Sutor, Robert S.} +\index{Trager, Barry M.} \begin{chunk}{ignore} -\bibitem[Watt 90]{WJST90} Watt, S.M.; Jenks, R.D.; Sutor, R.S.; Trager B.M. +\bibitem[Watt 90]{WJST90} Watt, S.M.; Jenks, R.D.; Sutor, R.S.; Trager, B.M. ``The Scratchpad II type system: Domains and subdomains'' in A.M. Miola, editor Computing Tools for Scientific Problem Solving, Academic Press, New York, 1990 @@ -8977,6 +10533,7 @@ for Scientific Problem Solving, Academic Press, New York, 1990 \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 91]{Wat91} Watt, Stephen M. (ed) Proceedings of the 1991 International Symposium on @@ -8987,6 +10544,10 @@ LCCN QA76.95.I59 1991 \end{chunk} +\index{Watt, Stephen M.} +\index{Dooley, Sam} +\index{Morrison, Scott C.} +\index{Sutor, Robert S.} \begin{chunk}{ignore} \bibitem[Watt 94a]{Wat94a} Watt, Stephen M.; Dooley, S.S.; Morrison, S.C.; Steinback, J.M.; Sutor, R.S. @@ -8996,6 +10557,10 @@ Version 1.0.0 O($\epsilon{}^1$) June 8, 1994 \end{chunk} +\index{Watt, Stephen M.} +\index{Broadbery, Peter A.} +\index{Dooley, Sam} +\index{Iglio, Pietro} \begin{chunk}{ignore} \bibitem[Watt 94b]{Wat94} Watt, Stephen M.; Broadbery, Peter A.; Dooley, Samuel S.; Iglio, Pietro @@ -9006,6 +10571,7 @@ IBM Research Report RC19529 (85075) May 12, 1994 \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{ignore} \bibitem[Watt 94c]{Wat94c} Watt, Stephen M. ``A\# Language Reference Version 0.35'' @@ -9014,6 +10580,13 @@ IBM Research Division Technical Report RC19530 May 1994 \end{chunk} +\index{Watt, Stephen M.} +\index{Broadbery, Peter A.} +\index{Dooley, Sam} +\index{Iglio, Pietro} +\index{Steinbach, Jonathan M.} +\index{Morrison, Scott C.} +\index{Sutor, Robert S.} \begin{chunk}{ignore} \bibitem[Watt 95]{Wat95} Watt, S.M.; Broadbery, P.A.; Dooley, S.S.; Iglio, P. Steinbach, J.M.; Morrison, S.C.; Sutor, R.S. @@ -9023,6 +10596,11 @@ The Numerical Algorithms Group (NAG) Ltd, 1994 \end{chunk} +\index{Watt, Stephen M.} +\index{Broadbery, Peter A.} +\index{Iglio, Pietro} +\index{Morrison, Scott C.} +\index{Steinbach, Jonathan M.} \begin{chunk}{ignore} \bibitem[Watt 01]{Wat01} Watt, Stephen M.; Broadbery, Peter A.; Iglio, Pietro; Morrison, Scott C.; Steinbach, Jonathan M. @@ -9033,6 +10611,7 @@ IBM T. J. Watson Research Center (2001) \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 92]{Webe92} Weber, Andreas ``Type Systems for Computer Algebra'' @@ -9050,6 +10629,7 @@ IBM T. J. Watson Research Center (2001) \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 92b]{Webe92b} Weber, Andreas ``Structuring the Type System of a Computer Algebra System'' @@ -9070,6 +10650,7 @@ IBM T. J. Watson Research Center (2001) \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 93b]{Webe93b} Weber, Andreas ``Type Systems for Computer Algebra'' @@ -9094,6 +10675,7 @@ IBM T. J. Watson Research Center (2001) \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 94]{Web94} Weber, Andreas ``Algorithms for Type Inference with Coercions'' @@ -9115,6 +10697,7 @@ ISSAC 94 ACM 0-89791-638-7/94/0007 \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 95]{Webe95} Weber, A. ``On coherence in computer algebra'' @@ -9135,6 +10718,7 @@ ISSAC 94 ACM 0-89791-638-7/94/0007 \end{chunk} +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 96]{Webe96} Weber, Andreas ``Computing Radical Expressions for Roots of Unity'' @@ -9149,7 +10733,7 @@ ISSAC 94 ACM 0-89791-638-7/94/0007 \end{chunk} - +\index{Weber, Andreas} \begin{chunk}{ignore} \bibitem[Weber 99]{Webe99} Weber, Andreas ``Solving Cyclotomic Polynomials by Radical Expressions'' @@ -9168,6 +10752,7 @@ ISSAC 94 ACM 0-89791-638-7/94/0007 \end{chunk} +\index{Wei-Jiang} \begin{chunk}{ignore} \bibitem[Wei-Jiang 12]{WJ12} Wei-Jiang ``Top free algebra System'' @@ -9176,6 +10761,7 @@ ISSAC 94 ACM 0-89791-638-7/94/0007 \end{chunk} +\index{Wester, Michael J.} \begin{chunk}{ignore} \bibitem[Wester 99]{Wes99} Wester, Michael J. ``Computer Algebra Systems'' @@ -9184,6 +10770,7 @@ John Wiley and Sons 1999 ISBN 0-471-98353-5 \end{chunk} +\index{Wexelblat, Richard L.} \begin{chunk}{ignore} \bibitem[Wexelblat 87]{Wex87} Wexelblat, Richard L. (ed) Proceedings of the SIGPLAN '87 Symposium on @@ -9194,6 +10781,7 @@ LCCN QA76.7.S54 v22:7 SIGPLAN Notices, vol 22, no 7 (July 1987) \end{chunk} +\index{Wityak, Sandra} \begin{chunk}{ignore} \bibitem[Wityak 87]{Wit87} Wityak, Sandra ``Scratchpad II Newsletter'' @@ -9212,6 +10800,7 @@ Software Preservation Group \subsection{Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Yap, Chee Keng} \begin{chunk}{ignore} \bibitem[Yap 00]{Yap00} Yap, Chee Keng ``Fundamental Problems of Algorithmic Algebra'' @@ -9220,6 +10809,9 @@ Oxford University Press (2000) ISBN0-19-512516-9 \end{chunk} +\index{Yapp, Clifford} +\index{Hebisch, Waldek} +\index{Kaminski, Kai} \begin{chunk}{ignore} \bibitem[Yapp 07]{Yapp07} Yapp, Clifford; Hebisch, Waldek; Kaminski, Kai ``Literate Programming Tools Implemented in ANSI Common Lisp'' @@ -9228,6 +10820,7 @@ Oxford University Press (2000) ISBN0-19-512516-9 \end{chunk} +\index{Yun, David Y.Y} \begin{chunk}{ignore} \bibitem[Yun 83]{Yun83} Yun, David Y.Y. ``Computer Algebra and Complex Analysis'' @@ -9239,6 +10832,7 @@ D. Reidel Publishing Company H. Werner et. al. (eds.) \subsection{Z} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Zenger, Ch.} \begin{chunk}{ignore} \bibitem[Zen92]{Zen92} Zenger, Ch. ``Gr{\"o}bnerbasen f{\"u}r Differentialformen und ihre @@ -9249,6 +10843,7 @@ Karlsruhe, Germany, 1992 \end{chunk} +\index{Zippel, Richard} \begin{chunk}{ignore} \bibitem[Zip92]{Zip92} Zippel, Richard ``Algebraic Computation'' @@ -9257,6 +10852,7 @@ Karlsruhe, Germany, 1992 \end{chunk} +\index{Zwillinger, Daniel} \begin{chunk}{ignore} \bibitem[Zwi92]{Zwi92} Zwillinger, Daniel ``Handbook of Integration'' @@ -9268,6 +10864,7 @@ Jones and Bartlett, 1992, ISBN 0-86720-293-9 \subsection{A} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Ablamowicz, Rafal} \begin{chunk}{axiom.bib} @article{Abla98, author = "Ablamowicz, Rafal", @@ -9282,6 +10879,7 @@ Jones and Bartlett, 1992, ISBN 0-86720-293-9 \end{chunk} +\index{Abramov, Sergei A.} \begin{chunk}{axiom.bib} @article{Abra06, author = "Abramov, Sergey A.", @@ -9297,6 +10895,8 @@ Jones and Bartlett, 1992, ISBN 0-86720-293-9 \end{chunk} +\index{Abramowitz, Milton} +\index{Stegun, Irene A.} \begin{chunk}{ignore} \bibitem[Abramowitz 64]{AS64} Abramowitz, Milton; Stegun, Irene A. ``Handbook of Mathematical Functions'' @@ -9304,6 +10904,8 @@ Jones and Bartlett, 1992, ISBN 0-86720-293-9 \end{chunk} +\index{Abramowitz, Milton} +\index{Stegun, Irene A.} \begin{chunk}{ignore} \bibitem[Abramowitz 68]{AS68} Abramowitz M; Stegun I A ``Handbook of Mathematical Functions'' @@ -9311,6 +10913,7 @@ Dover Publications. (1968) \end{chunk} +\index{Altmann, Simon L.} \begin{chunk}{axiom.bib} @book{Altm05, author = "Altmann, Simon L.", @@ -9322,6 +10925,7 @@ Dover Publications. (1968) \end{chunk} +\index{Ames W F} \begin{chunk}{ignore} \bibitem[Ames 77]{Ames77} Ames W F ``Nonlinear Partial Differential Equations in Engineering'' @@ -9329,6 +10933,7 @@ Academic Press (2nd Edition). (1977) \end{chunk} +\index{Amos D E} \begin{chunk}{ignore} \bibitem[Amos 86]{Amos86} Amos D E ``Algorithm 644: A Portable Package for Bessel Functions of a Complex @@ -9337,6 +10942,7 @@ ACM Trans. Math. Softw. 12 265--273. (1986) \end{chunk} +\index{Anderson, Edward} \begin{chunk}{ignore} \bibitem[Anderson 00]{And00} Anderson, Edward ``Discontinuous Plane Rotations and the Symmetric Eigenvalue Problem'' @@ -9345,6 +10951,9 @@ December 4, 2000. \end{chunk} +\index{Anthony G. T.} +\index{Cox M. G.} +\index{Hayes J. G.} \begin{chunk}{ignore} \bibitem[Anthony 82]{ACH82} Anthony G T; Cox M G; Hayes J G ``DASL - Data Approximation Subroutine Library'' @@ -9352,8 +10961,10 @@ National Physical Laboratory. (1982) \end{chunk} +\index{Arno, D.S.} +\index{Mignotte, M.} \begin{chunk}{ignore} -\bibitem[Arnon 88]{Arno88} Arno, D.S.; MIgnotte, M. +\bibitem[Arnon 88]{Arno88} Arno, D.S.; Mignotte, M. ``On Mechanical Quantifier Elimination for Elementary Algebra and Geometry'' J. Symbolic Computation 5, 237-259 (1988) \verb|http://www.sciencedirect.com/science/article/pii/S0747717188800142/| @@ -9377,6 +10988,9 @@ J. Symbolic Computation 5, 237-259 (1988) \end{chunk} +\index{Aubry, Phillippe} +\index{Lazard, Daniel} +\index{Maza, Marc Moreno} \begin{chunk}{axiom.bib} @article{Aubr99, author = "Aubry, Phillippe and Lazard, Daniel and {Moreno Maza}, Marc", @@ -9396,6 +11010,8 @@ J. Symbolic Computation 5, 237-259 (1988) \end{chunk} +\index{Aubry, Phillippe} +\index{Maza, Marc Moreno} \begin{chunk}{ignore} \bibitem[Aubry 96]{Aub96} Aubry, Philippe; Maza, Marc Moreno ``Triangular Sets for Solving Polynomial Systems: a Comparison of Four Methods'' @@ -9412,6 +11028,7 @@ J. Symbolic Computation 5, 237-259 (1988) \subsection{B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Bailey P. B.} \begin{chunk}{ignore} \bibitem[Bailey 66]{Bai66} Bailey P B ``Sturm-Liouville Eigenvalues via a Phase Function'' @@ -9419,6 +11036,8 @@ SIAM J. Appl. Math . 14 242--249. (1966) \end{chunk} +\index{Baker, George A.} +\index{Graves-Morris, Peter} \begin{chunk}{ignore} \bibitem[Baker 96]{BGM96} Baker, George A.; Graves-Morris, Peter ``Pade Approximants'' @@ -9426,6 +11045,7 @@ Cambridge University Press, March 1996 ISBN 9870521450072 \end{chunk} +\index{Baker, Martin} \begin{chunk}{ignore} \bibitem[Baker 10]{Ba10} Baker, Martin ``3D World Simulation'' @@ -9433,6 +11053,7 @@ Cambridge University Press, March 1996 ISBN 9870521450072 \end{chunk} +\index{Baker, Martin} \begin{chunk}{axiom.bib} @misc{Bake14, author = "Baker, Martin", @@ -9443,6 +11064,8 @@ Cambridge University Press, March 1996 ISBN 9870521450072 \end{chunk} +\index{Kurowski I.} +\index{Banks D. O.} \begin{chunk}{ignore} \bibitem[Banks 68]{BK68} Banks D O; Kurowski I ``Computation of Eigenvalues of Singular Sturm-Liouville Systems'' @@ -9450,6 +11073,7 @@ Math. Computing. 22 304--310. (1968) \end{chunk} +\index{Bard Y.} \begin{chunk}{ignore} \bibitem[Bard 74]{Bard74} Bard Y ``Nonlinear Parameter Estimation'' @@ -9457,6 +11081,8 @@ Academic Press. 1974 \end{chunk} +\index{Barrodale I.} +\index{Roberts F. D. K.} \begin{chunk}{ignore} \bibitem[Barrodale 73]{BR73} Barrodale I; Roberts F D K ``An Improved Algorithm for Discrete $ll_1$ Linear Approximation'' @@ -9464,6 +11090,8 @@ SIAM J. Numer. Anal. 10 839--848. (1973) \end{chunk} +\index{Barrodale I.} +\index{Roberts F. D. K.} \begin{chunk}{ignore} \bibitem[Barrodale 74]{BR74} Barrodale I; Roberts F D K ``Solution of an Overdetermined System of Equations in the $ll_1-norm$.'' @@ -9471,6 +11099,7 @@ Comm. ACM. 17, 6 319--320. (1974) \end{chunk} +\index{Beauzamy, Bernard} \begin{chunk}{ignore} \bibitem[Beauzamy 92]{Bea92} Beauzamy, Bernard ``Products of polynomials and a priori estimates for @@ -9480,6 +11109,9 @@ J. Symbolic Computation (1992) 13, 463-472 \end{chunk} +\index{Beauzamy, Bernard} +\index{Trevisan, Vilmar} +\index{Wang, Paul S.} \begin{chunk}{ignore} \bibitem[Beauzamy 93]{Bea93} Beauzamy, Bernard; Trevisan, Vilmar; Wang, Paul S. @@ -9489,6 +11121,7 @@ J. Symbolic Computation (1993) 15, 393-413 \end{chunk} +\index{Bertrand, Laurent} \begin{chunk}{axiom.bib} @article{Bert95, author = "Bertrand, Laurent", @@ -9509,6 +11142,9 @@ J. Symbolic Computation (1993) 15, 393-413 \end{chunk} +\index{Berzins M.} +\index{Brankin R. W.} +\index{Gladwell I.} \begin{chunk}{ignore} \bibitem[Berzins 87]{BBG87} Berzins M; Brankin R W; Gladwell I. ``Design of the Stiff Integrators in the NAG Library'' @@ -9516,6 +11152,7 @@ Technical Report. TR14/87 NAG. (1987) \end{chunk} +\index{Berzins M.} \begin{chunk}{ignore} \bibitem[Berzins 90]{Ber90} Berzins M ``Developments in the NAG Library Software for Parabolic Equations'' @@ -9524,6 +11161,8 @@ Chapman and Hall. 59--72. (1990) \end{chunk} +\index{Birkhoff, G.} +\index{Rota, G. C.} \begin{chunk}{ignore} \bibitem[Birkhoff 62]{BR62} Birkhoff, G; Rota, G C ``Ordinary Differential Equations'' @@ -9531,6 +11170,7 @@ Ginn \& Co., Boston and New York. (1962) \end{chunk} +\index{Boyd, David W.} \begin{chunk}{ignore} \bibitem[Boyd9 3a]{Boyd93a} Boyd, David W. ``Bounds for the Height of a Factor of a Polynomial in @@ -9540,6 +11180,7 @@ J. Symbolic Computation (1993) 16, 115-130 \end{chunk} +\index{Boyd, David W.} \begin{chunk}{ignore} \bibitem[Boyd 93b]{Boyd93b} Boyd, David W. ``Bounds for the Height of a Factor of a Polynomial in @@ -9549,14 +11190,20 @@ J. Symbolic Computation (1993) 16, 131-145 \end{chunk} +\index{Braman, K.} +\index{Byers, R.} +\index{Mathias, R.} \begin{chunk}{ignore} -\bibitem[Braman 02a]{BBM02a} Braman, K.; Byers, R.; Mathias, R. +\bibitem[Braman 02a]{BBM02a} Braman, K.; Byers, R.; Mathias, R. ``The Multi-Shift QR Algorithm Part I: Maintaining Well Focused Shifts, and Level 3 Performance'' SIAM Journal of Matrix Analysis, volume 23, pages 929--947, 2002. \end{chunk} +\index{Braman, K.} +\index{Byers, R.} +\index{Mathias, R.} \begin{chunk}{ignore} \bibitem[Braman 02b]{BBM02b} Braman, K.; Byers, R.; Mathias, R. ``The Multi-Shift QR Algorithm Part II: Aggressive Early Deflation'' @@ -9564,6 +11211,7 @@ SIAM Journal of Matrix Analysis, volume 23, pages 948--973, 2002. \end{chunk} +\index{Brent, R. P.} \begin{chunk}{ignore} \bibitem[Brent 75]{Bre75} Brent, R. P. ``Multiple-Precision Zero-Finding Methods and the Complexity @@ -9572,6 +11220,8 @@ J. F. Traub, Ed., Academic Press, New York 1975, 151-176 \end{chunk} +\index{Brent, R. P.} +\index{Kung, H. T.} \begin{chunk}{ignore} \bibitem[Brent 78]{BK78} Brent, R. P.; Kung, H. T. ``Fast Algorithms for Manipulating Formal Power Series'' @@ -9580,6 +11230,7 @@ Vol. 25, No. 4, October 1978, 581-595 \end{chunk} +\index{Brigham E. O.} \begin{chunk}{ignore} \bibitem[Brigham 73]{Bri73} Brigham E O ``The Fast Fourier Transform'' @@ -9587,6 +11238,7 @@ Prentice-Hall. (1973) \end{chunk} +\index{Brillhart, John} \begin{chunk}{ignore} \bibitem[Brillhart 69]{Bri69} Brillhart, John ``On the Euler and Bernoulli polynomials'' @@ -9594,6 +11246,7 @@ J. Reine Angew. Math., v. 234, (1969), pp. 45-64 \end{chunk} +\index{Brillhart, John} \begin{chunk}{ignore} \bibitem[Brillhart 90]{Bri90} Brillhart, John ``Note on Irreducibility Testing'' @@ -9601,6 +11254,9 @@ Mathematics of Computation, vol. 35, num. 35, Oct. 1980, 1379-1381 \end{chunk} +\index{Bronstein, Manuel} +\index{Grabmeier, Johannes} +\index{Weispfenning, V.} \begin{chunk}{ignore} \bibitem[Bronstein 98a]{Bro98a} Bronstein, M.; Grabmeier, J.; Weispfenning, V. (eds) ``Symbolic Rewriting Techniques'' @@ -9609,6 +11265,7 @@ ISBN 3-7643-5901-3 (1998) \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{ignore} \bibitem[Bronstein 88]{Bro88} Bronstein, Manual ``The Transcendental Risch Differential Equation'' @@ -9627,6 +11284,7 @@ IBM Research Report RC13460 IBM Corp. Yorktown Heights, NY \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @techreport{Bron98, author = "Bronstein, Manuel", @@ -9651,6 +11309,7 @@ IBM Research Report RC13460 IBM Corp. Yorktown Heights, NY \end{chunk} +\index{Bronstein, Manuel} \begin{chunk}{axiom.bib} @misc{Bro98b, author = "Bronstein, Manuel", @@ -9665,6 +11324,7 @@ IBM Research Report RC13460 IBM Corp. Yorktown Heights, NY \end{chunk} +\index{Brown, Christopher W.} \begin{chunk}{ignore} \bibitem[Brown 99]{Brow99} Brown, Christopher W. ``Solution Formula Construction for Truth Invariant CADs'' @@ -9699,6 +11359,7 @@ Ph.D Thesis, Univ. Delaware (1999) \end{chunk} +\index{Brown, Christopher W.} \begin{chunk}{ignore} \bibitem[Brown 02]{Brow02} Brown, Christopher W. ``QEPCAD B -- A program for computing with semi-algebraic sets using CADs'' @@ -9718,6 +11379,7 @@ Ph.D Thesis, Univ. Delaware (1999) \end{chunk} +\index{Burge, William H.} \begin{chunk}{axiom.bib} @article{Burg74, author = "William H. Burge", @@ -9749,13 +11411,15 @@ Ph.D Thesis, Univ. Delaware (1999) \subsection{C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Carlson, B. C.} \begin{chunk}{ignore} -\bibitem[Carlson 65]{Car65} Carlson B C +\bibitem[Carlson 65]{Car65} Carlson, B C ``On Computing Elliptic Integrals and Functions'' J Math Phys. 44 36--51. (1965) \end{chunk} +\index{Carlson, B. C.} \begin{chunk}{ignore} \bibitem[Carlson 77a]{Car77a} Carlson B C ``Elliptic Integrals of the First Kind'' @@ -9763,6 +11427,7 @@ SIAM J Math Anal. 8 231--242. (1977) \end{chunk} +\index{Carlson, B. C.} \begin{chunk}{ignore} \bibitem[Carlson 77b]{Car77b} Carlson B C ``Special Functions of Applied Mathematics'' @@ -9770,6 +11435,7 @@ Academic Press. (1977) \end{chunk} +\index{Carlson, B. C.} \begin{chunk}{ignore} \bibitem[Carlson 78]{Car78} Carlson B C, ``Computing Elliptic Integrals by Duplication'' @@ -9777,6 +11443,7 @@ Academic Press. (1977) \end{chunk} +\index{Carlson, B. C.} \begin{chunk}{ignore} \bibitem[Carlson 88]{Car88} Carlson B C, ``A Table of Elliptic Integrals of the Third Kind'' @@ -9784,6 +11451,7 @@ Math. Comput. 51 267--280. (1988) \end{chunk} +\index{Cauchy, Augustin-Lux} \begin{chunk}{ignore} \bibitem[Cauchy 1829]{Cau1829} Augustin-Lux Cauchy ``Exercices de Math\'ematiques Quatri\`eme Ann\'ee. De Bure Fr\`eres'' @@ -9792,6 +11460,8 @@ Gauthier-Villars, Paris, 1891). \end{chunk} +\index{Ch\'eze, Guillaume} +\index{Lecerf, Gr{\'e}goire} \begin{chunk}{ignore} \bibitem[Ch\`eze 07]{Chez07} Ch\'eze, Guillaume; Lecerf, Gr\'egoire ``Lifting and recombination techniques for absolute factorization'' @@ -9807,6 +11477,10 @@ Journal of Complexity, VOl 23 Issue 3 June 2007 pp 380-420 \end{chunk} +\index{Childs, B.} +\index{Scott, M.} +\index{Daniel, J. W.} +\index{Denman, E.} \begin{chunk}{ignore} \bibitem[Childs 79]{CSDDN79} Childs B; Scott M; Daniel J W; Denman E; Nelson P (eds) @@ -9815,6 +11489,8 @@ Lecture Notes in Computer Science. 76 (1979) Springer-Verlag \end{chunk} +\index{Clausen, M.} +\index{Fortenbacher, A.} \begin{chunk}{ignore} \bibitem[Clausen 89]{Cla89} Clausen, M.; Fortenbacher, A. ``Efficient Solution of Linear Diophantine Equations'' @@ -9822,6 +11498,7 @@ JSC (1989) 8, 201-216 \end{chunk} +\index{Clenshaw, C. W.} \begin{chunk}{ignore} \bibitem[Clenshaw 55]{Cle55} Clenshaw C W, ``A Note on the Summation of Chebyshev Series'' @@ -9829,6 +11506,7 @@ Math. Tables Aids Comput. 9 118--120. (1955) \end{chunk} +\index{Clenshaw, C. W.} \begin{chunk}{ignore} \bibitem[Clenshaw 60]{Cle60} Clenshaw C W ``Curve Fitting with a Digital Computer'' @@ -9836,6 +11514,7 @@ Comput. J. 2 170--173. (1960) \end{chunk} +\index{Clenshaw, C. W.} \begin{chunk}{ignore} \bibitem[Clenshaw 62]{Cle62} Clenshaw C W ``Mathematical Tables. Chebyshev Series for Mathematical Functions'' @@ -9843,6 +11522,8 @@ HMSO. (1962) \end{chunk} +\index{Cline, A. K.} +\index{Renka, R. L.} \begin{chunk}{ignore} \bibitem[Cline 84]{CR84} Cline A K; Renka R L, ``A Storage-efficient Method for Construction of a Thiessen Triangulation'' @@ -9850,6 +11531,11 @@ Rocky Mountain J. Math. 14 119--139. (1984) \end{chunk} +\index{Conway, John H.} +\index{Curtis, R.} +\index{Norton, S.} +\index{Parker, R.} +\index{Wilson, R.} \begin{chunk}{ignore} \bibitem[Conway 87]{CCNPW87} Conway, J.; Curtis, R.; Norton, S.; Parker, R.; Wilson, R. @@ -9858,6 +11544,8 @@ Oxford, Clarendon Press, 1987 \end{chunk} +\index{Conway, John H.} +\index{Smith, Derek, A.} \begin{chunk}{ignore} \bibitem[Conway 03]{CS03} Conway, John H.; Smith, Derek, A. ``On Quaternions and Octonions'' @@ -9865,6 +11553,7 @@ A.K Peters, Natick, MA. (2003) ISBN 1-56881-134-9 \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 72]{Cox72} Cox M G ``The Numerical Evaluation of B-splines'' @@ -9872,6 +11561,8 @@ J. Inst. Math. Appl. 10 134--149. (1972) \end{chunk} +\index{Cox, M. G.} +\index{Hayes, J. G.} \begin{chunk}{ignore} \bibitem[CH 73]{CH73} Cox M G; Hayes J G ``Curve fitting: a guide and suite of algorithms for the @@ -9880,6 +11571,7 @@ Report NAC26. National Physical Laboratory. (1973) \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 74a]{Cox74a} Cox M G ``A Data-fitting Package for the Non-specialist User'' @@ -9887,6 +11579,7 @@ Software for Numerical Mathematics. (ed D J Evans) Academic Press. (1974) \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 74b]{Cox74b} Cox M G ``Numerical methods for the interpolation and approximation of data @@ -9895,6 +11588,7 @@ PhD Thesis. City University, London. (1975) \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 75]{Cox75} Cox M G ``An Algorithm for Spline Interpolation'' @@ -9902,6 +11596,7 @@ J. Inst. Math. Appl. 15 95--108. (1975) \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 77]{Cox77} Cox M G ``A Survey of Numerical Methods for Data and Function Approximation'' @@ -9911,6 +11606,7 @@ Academic Press. 627--668. (1977) \end{chunk} +\index{Cox, M. G.} \begin{chunk}{ignore} \bibitem[Cox 78]{Cox78} Cox M G ``The Numerical Evaluation of a Spline from its B-spline Representation'' @@ -9918,6 +11614,9 @@ J. Inst. Math. Appl. 21 135--143. (1978) \end{chunk} +\index{Curtis, A. R.} +\index{Powell, M. J. D.} +\index{Reid, J. K.} \begin{chunk}{ignore} \bibitem[Curtis 74]{CPR74} Curtis A R; Powell M J D; Reid J K ``On the Estimation of Sparse Jacobian Matrices'' @@ -9927,6 +11626,8 @@ J. Inst. Maths Applics. 13 117--119. (1974) \subsection{D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Dahlquist, G.} +\index{Bjork, A.} \begin{chunk}{ignore} \bibitem[Dahlquist 74]{DB74} Dahlquist G; Bjork A ``Numerical Methods'' @@ -9934,6 +11635,8 @@ Prentice- Hall. (1974) \end{chunk} +\index{Dalmas, St\'ephane} +\index{Arsac, Olivier} \begin{chunk}{ignore} \bibitem[Dalmas 98]{DA98} Dalmas, Stephane; Arsac, Olivier ``The INRIA OpenMath Library'' @@ -9941,6 +11644,7 @@ Projet SAFIR, INRIA Sophia Antipolis Nov 25, 1998 \end{chunk} +\index{Dantzig, G. B.} \begin{chunk}{ignore} \bibitem[Dantzig 63]{Dan63} Dantzig G B ``Linear Programming and Extensions'' @@ -9948,6 +11652,7 @@ Princeton University Press. (1963) \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport]{Dav} Davenport, James ``On Brillhart Irreducibility.'' @@ -9955,6 +11660,7 @@ To appear. \end{chunk} +\index{Davenport, James H.} \begin{chunk}{ignore} \bibitem[Davenport 93]{Ref-Dav93} Davenport, J.H. ``Primality testing revisited'' @@ -9965,6 +11671,8 @@ and Oxford, UK, August 1993 \end{chunk} +\index{Davis, P. J.} +\index{Rabinowitz, P.} \begin{chunk}{ignore} \bibitem[Davis 67]{DR67} Davis P J; Rabinowitz P ``Numerical Integration'' @@ -9972,6 +11680,8 @@ Blaisdell Publishing Company. 33--52. (1967) \end{chunk} +\index{Davis, P. J.} +\index{Rabinowitz, P.} \begin{chunk}{ignore} \bibitem[Davis 75]{DR75} Davis P J; Rabinowitz P ``Methods of Numerical Integration'' @@ -9979,6 +11689,7 @@ Academic Press. (1975) \end{chunk} +\index{De Boor, C.} \begin{chunk}{ignore} \bibitem[DeBoor 72]{DeB72} De Boor C ``On Calculating with B-splines'' @@ -9986,6 +11697,7 @@ J. Approx. Theory. 6 50--62. (1972) \end{chunk} +\index{De Doncker, E.} \begin{chunk}{ignore} \bibitem[De Doncker 78]{DeD78} De Doncker E, ``An Adaptive Extrapolation Algorithm for Automatic Integration'' @@ -9993,6 +11705,7 @@ Signum Newsletter. 13 (2) 12--18. (1978) \end{chunk} +\index{Demmel, J. W.} \begin{chunk}{ignore} \bibitem[Demmel 89]{Dem89} Demmel J W ``On Floating-point Errors in Cholesky'' @@ -10000,6 +11713,8 @@ LAPACK Working Note No. 14. University of Tennessee, Knoxville. 1989 \end{chunk} +\index{Dennis, J. E. Jr.} +\index{More, J. J.} \begin{chunk}{ignore} \bibitem[Dennis 77]{DM77} Dennis J E Jr; More J J ``Quasi-Newton Methods, Motivation and Theory'' @@ -10007,6 +11722,8 @@ SIAM Review. 19 46--89. 1977 \end{chunk} +\index{Dennis, J. E. Jr.} +\index{Schnabel, R. B.} \begin{chunk}{ignore} \bibitem[Dennis 81]{DS81} Dennis J E Jr; Schnabel R B ``A New Derivation of Symmetric Positive-Definite Secant Updates'' @@ -10015,6 +11732,8 @@ Academic Press. 167--199. (1981) \end{chunk} +\index{Dennis, J. E. Jr.} +\index{Schnabel, R. B.} \begin{chunk}{ignore} \bibitem[Dennis 83]{DS83} Dennis J E Jr; Schnabel R B ``Numerical Methods for Unconstrained Optimixation and Nonlinear Equations'' @@ -10022,6 +11741,7 @@ Prentice-Hall.(1983) \end{chunk} +\index{Dierckx, P.} \begin{chunk}{ignore} \bibitem[Dierckx 75]{Die75} Dierckx P ``An Algorithm for Smoothing, Differentiating and Integration of @@ -10030,6 +11750,7 @@ J. Comput. Appl. Math. 1 165--184. (1975) \end{chunk} +\index{Dierckx, P.} \begin{chunk}{ignore} \bibitem[Dierckx 81]{Die81} Dierckx P ``An Improved Algorithm for Curve Fitting with Spline Functions'' @@ -10037,6 +11758,7 @@ Report TW54. Dept. of Computer Science, Katholieke Universiteit Leuven. 1981 \end{chunk} +\index{Dierckx, P.} \begin{chunk}{ignore} \bibitem[Dierckx 82]{Die82} Dierckx P ``A Fast Algorithm for Smoothing Data on a Rectangular Grid while using @@ -10045,6 +11767,9 @@ SIAM J. Numer. Anal. 19 1286--1304. (1982) \end{chunk} +\index{Dongarra, Jack J.} +\index{Moler, C. B.} +\index{Bunch, J. R.} \begin{chunk}{ignore} \bibitem[Dongarra 79]{DMBS79} Dongarra J J; Moler C B; Bunch J R; Stewart G W @@ -10053,6 +11778,9 @@ SIAM, Philadelphia. (1979) \end{chunk} +\index{Dongarra, Jack J.} +\index{Du Croz, Jeremy J.} +\index{Hammarling, S.} \begin{chunk}{ignore} \bibitem[Dongarra 85]{DCHH85} Dongarra J J; Du Croz J J; Hammarling S; Hanson R J @@ -10062,6 +11790,8 @@ SIGNUM Newsletter. 20 (1) 2--18. (1985) \end{chunk} +\index{Dongarra, Jack J.} +\index{Du Croz, Jeremy J.} \begin{chunk}{ignore} \bibitem[Dongarra 88]{REF-DON88} Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. @@ -10071,6 +11801,8 @@ pp 1-17 \end{chunk} +\index{Dongarra, Jack J.} +\index{Du Croz, Jeremy J.} \begin{chunk}{ignore} \bibitem[Dongarra 88a]{REF-DON88a} Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. @@ -10081,6 +11813,8 @@ pp 18-32 \end{chunk} +\index{Dongarra, Jack J.} +\index{Du Croz, Jeremy J.} \begin{chunk}{ignore} \bibitem[Dongarra 90]{REF-DON90} Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain S. @@ -10090,6 +11824,8 @@ pp 1-17 \end{chunk} +\index{Dongarra, Jack J.} +\index{Du Croz, Jeremy J.} \begin{chunk}{ignore} \bibitem[Dongarra 90a]{REF-DON90a} Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Duff, Iain S. @@ -10100,6 +11836,7 @@ pp 18-28 \end{chunk} +\index{Ducos, Lionel} \begin{chunk}{ignore} \bibitem[Ducos 00]{Duc00} Ducos, Lionel ``Optimizations of the subresultant algorithm'' @@ -10107,6 +11844,7 @@ Journal of Pure and Applied Algebra V145 No 2 Jan 2000 pp149-163 \end{chunk} +\index{Duff, I. S.} \begin{chunk}{ignore} \bibitem[Duff 77]{Duff77} Duff I S, ``MA28 -- a set of Fortran subroutines for sparse unsymmetric linear @@ -10115,6 +11853,8 @@ A.E.R.E. Report R.8730. HMSO. (1977) \end{chunk} +\index{Duval, Dominique} +\index{Gonz\'alez-Vega, L.} \begin{chunk}{ignore} \bibitem[Duval 96a]{Duva96a} Duval, D.; Gonz\'alez-Vega, L. ``Dynamic Evaluation and Real Closure'' @@ -10131,6 +11871,8 @@ Mathematics and Computers in Simulation 42 pp 551-560 (1996) \end{chunk} +\index{Duval, Dominique} +\index{Reynaud, J.C.} \begin{chunk}{ignore} \bibitem[Duval 96]{Duva96} Duval, D.; Reynaud, J.C. ``Sketches and Computations over Fields'' @@ -10144,6 +11886,8 @@ Mathematics and Computers in Simulation 42 pp 363-373 (1996) \end{chunk} +\index{Duval, Dominique} +\index{Reynaud, J.C.} \begin{chunk}{ignore} \bibitem[Duval 94a]{Duva94a} Duval, D.; Reynaud, J.C. ``Sketches and Computation (Part I): Basic Definitions and Static Evaluation'' @@ -10167,6 +11911,8 @@ Mathematical Structures in Computer Science, 4, p 185-238 Cambridge University P \end{chunk} +\index{Duval, Dominique} +\index{Reynaud, J.C.} \begin{chunk}{ignore} \bibitem[Duval 94b]{Duva94b} Duval, D.; Reynaud, J.C. ``Sketches and Computation (Part II): Dynamic Evaluation and Applications'' @@ -10188,6 +11934,7 @@ Mathematical Structures in Computer Science, 4, p 239-271. Cambridge University \end{chunk} +\index{Duval, Dominique} \begin{chunk}{ignore} \bibitem[Duval 94c]{Duva94c} Duval, Dominique ``Algebraic Numbers: An Example of Dynamic Evaluation'' @@ -10205,6 +11952,7 @@ J. Symbolic Computation 18, 429-445 (1994) \subsection{F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Fateman, Richard J.} \begin{chunk}{ignore} \bibitem[Fateman 08]{Fat08} Fateman, Richard ``Revisiting numeric/symbolic indefinite integration of rational functions, and extensions'' @@ -10224,6 +11972,7 @@ J. Symbolic Computation 18, 429-445 (1994) \end{chunk} +\index{Fletcher, John P.} \begin{chunk}{axiom.bib} @misc{Flet01, author = "Fletcher, John P.", @@ -10234,6 +11983,7 @@ J. Symbolic Computation 18, 429-445 (1994) \end{chunk} +\index{Fletcher, John P.} \begin{chunk}{axiom.bib} @misc{Flet09, author = "Fletcher, John P.", @@ -10248,6 +11998,7 @@ J. Symbolic Computation 18, 429-445 (1994) \end{chunk} +\index{Fletcher, John P.} \begin{chunk}{ignore} \bibitem[Fletcher 81]{Fle81} Fletcher R ``Practical Methods of Optimization'' @@ -10255,6 +12006,7 @@ Vol 2. Constrained Optimization. Wiley. (1981) \end{chunk} +\index{Floyd, R. W.} \begin{chunk}{axiom.bib} @article{Floy63, author = "Floyd, R. W.", @@ -10268,6 +12020,7 @@ Vol 2. Constrained Optimization. Wiley. (1981) \end{chunk} +\index{Forsythe, G. E.} \begin{chunk}{ignore} \bibitem[Forsythe 57]{For57} Forsythe G E, ``Generation and use of orthogonal polynomials for data fitting @@ -10276,6 +12029,7 @@ J. Soc. Indust. Appl. Math. 5 74--88. (1957) \end{chunk} +\index{Fortenbacher, A.} \begin{chunk}{ignore} \bibitem[Fortenbacher 90]{REF-For90} Fortenbacher, A. ``Efficient type inference and coercion in computer algebra'' @@ -10298,6 +12052,8 @@ Springer-Verlag, pp56-60 \end{chunk} +\index{Fox L.} +\index{Parker, I. B.} \begin{chunk}{ignore} \bibitem[Fox 68]{Fox68} Fox L.; Parker I B. ``Chebyshev Polynomials in Numerical Analysis'' @@ -10305,6 +12061,8 @@ Oxford University Press. (1968) \end{chunk} +\index{Franke, R.} +\index{Nielson, G.} \begin{chunk}{ignore} \bibitem[Franke 80]{FN80} Franke R.; Nielson G ``Smooth Interpolation of Large Sets of Scattered Data'' @@ -10312,6 +12070,7 @@ Internat. J. Num. Methods Engrg. 15 1691--1704. (1980) \end{chunk} +\index{Fritsch, F. N.} \begin{chunk}{ignore} \bibitem[Fritsch 82]{Fri82} Fritsch F N ``PCHIP Final Specifications'' @@ -10319,6 +12078,8 @@ Report UCID-30194. Lawrence Livermore National Laboratory. (1982) \end{chunk} +\index{Fritsch, F. N.} +\index{Butland, J.} \begin{chunk}{ignore} \bibitem[Fritsch 84]{FB84} Fritsch F N.; Butland J. ``A Method for Constructing Local Monotone Piecewise Cubic Interpolants'' @@ -10326,6 +12087,7 @@ SIAM J. Sci. Statist. Comput. 5 300--304. (1984) \end{chunk} +\index{Froberg, C. E.} \begin{chunk}{ignore} \bibitem[Froberg 65]{Fro65} Froberg C E. ``Introduction to Numerical Analysis'' @@ -10335,6 +12097,8 @@ Addison-Wesley. 181--187. (1965) \subsection{G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Garcia, A.} +\index{Stichtenoth, H.} \begin{chunk}{ignore} \bibitem[Garcia 95]{Ga95} Garcia, A.; Stichtenoth, H. ``A tower of Artin-Schreier extensions of function fields attaining the @@ -10343,8 +12107,10 @@ Invent. Math., vol. 121, 1995, pp. 211--222. \end{chunk} +\index{von zur Gathen, Joachim} +\index{Giesbrecht, Mark} \begin{chunk}{ignore} -\bibitem[Gathen 90a]{Gat90a} Gathen, Joachim von zur; Giesbrecht, Mark +\bibitem[Gathen 90a]{Gat90a} {von zur Gathen}, Joachim; Giesbrecht, Mark ``Constructing Normal Bases in Finite Fields'' J. Symbolic Computation pp 547-570 (1990) %\verb|axiom-developer.org/axiom-website/papers/Gat90a.pdf| @@ -10358,13 +12124,16 @@ J. Symbolic Computation pp 547-570 (1990) \end{chunk} +\index{von zur Gathen, Joachim} \begin{chunk}{ignore} -\bibitem[Gathen 90]{Gat90} Gathen, Joachim von zur +\bibitem[Gathen 90]{Gat90} von zur Gathen, Joachim ``Functional Decomposition Polynomials: the Tame Case'' Journal of Symbolic Computation (1990) 9, 281-299 \end{chunk} +\index{von zur Gathen, Joachim} +\index{Gerhard, J\"urgen} \begin{chunk}{axiom.bib} @book{Gath99, author = {{von zur Gathen}, Joachim and Gerhard, J\"urgen}, @@ -10376,6 +12145,7 @@ Journal of Symbolic Computation (1990) 9, 281-299 \end{chunk} +\index{Gautschi, W.} \begin{chunk}{ignore} \bibitem[Gautschi 79a]{Gau79a} Gautschi W. ``A Computational Procedure for Incomplete Gamma Functions'' @@ -10383,6 +12153,7 @@ ACM Trans. Math. Softw. 5 466--481. (1979) \end{chunk} +\index{Gautschi, W.} \begin{chunk}{ignore} \bibitem[Gautschi 79b]{Gau79b} Gautschi W. ``Algorithm 542: Incomplete Gamma Functions'' @@ -10390,6 +12161,7 @@ ACM Trans. Math. Softw. 5 482--489. (1979) \end{chunk} +\index{Gentlemen, W. M.} \begin{chunk}{ignore} \bibitem[Gentlemen 69]{Gen69} Gentlemen W M ``An Error Analysis of Goertzel's (Watt's) Method for Computing @@ -10398,6 +12170,7 @@ Comput. J. 12 160--165. (1969) \end{chunk} +\index{Gentlemen, W. M.} \begin{chunk}{ignore} \bibitem[Gentleman 73]{Gen73} Gentleman W M. ``Least-squares Computations by Givens Transformations without Square Roots'' @@ -10405,6 +12178,7 @@ J. Inst. Math. Applic. 12 329--336. (1973) \end{chunk} +\index{Gentlemen, W. M.} \begin{chunk}{ignore} \bibitem[Gentleman 74]{Gen74} Gentleman W M. ``Algorithm AS 75. Basic Procedures for Large Sparse or @@ -10413,6 +12187,8 @@ Appl. Statist. 23 448--454. (1974) \end{chunk} +\index{Gentlemen, W. M.} +\index{Marovich, S. B.} \begin{chunk}{ignore} \bibitem[Gentlemen 74a]{GM74a} Gentleman W. M.; Marovich S. B. ``More on algorithms that reveal properties of floating point @@ -10421,6 +12197,8 @@ Comms. of the ACM, 17, 276-277. (1974) \end{chunk} +\index{Genz, A. C.} +\index{Malik, A. A.} \begin{chunk}{ignore} \bibitem[Genz 80]{GM80} Genz A C.; Malik A A. ``An Adaptive Algorithm for Numerical Integration over an N-dimensional @@ -10429,6 +12207,8 @@ J. Comput. Appl. Math. 6 295--302. (1980) \end{chunk} +\index{Gill, P. E.} +\index{Miller, G. F.} \begin{chunk}{ignore} \bibitem[Gill 72]{GM72} Gill P E.; Miller G F. ``An Algorithm for the Integration of Unequally Spaced Data'' @@ -10436,6 +12216,8 @@ Comput. J. 15 80--83. (1972) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 74b]{GM74b} Gill P E.; Murray W. (eds) ``Numerical Methods for Constrained Optimization'' @@ -10443,6 +12225,8 @@ Academic Press. (1974) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 76a]{GM76a} Gill P E.; Murray W. ``Minimization subject to bounds on the variables'' @@ -10450,6 +12234,8 @@ Report NAC 72. National Physical Laboratory. (1976) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 76b]{GM76b} Gill P E.; Murray W. ``Algorithms for the Solution of the Nonlinear Least-squares Problem'' @@ -10457,6 +12243,8 @@ NAC 71 National Physical Laboratory. (1976) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 78]{GM78} Gill P E.; Murray W. ``Algorithms for the Solution of the Nonlinear Least-squares Problem'' @@ -10464,6 +12252,8 @@ SIAM J. Numer. Anal. 15 977--992. (1978) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 79]{GM79} Gill P E.; Murray W; ``Conjugate-gradient Methods for Large-scale Nonlinear Optimization'' @@ -10472,6 +12262,9 @@ Stanford University. (1979) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} +\index{Wright, M. H.} \begin{chunk}{ignore} \bibitem[Gill 81]{GMW81} Gill P E.; Murray W.; Wright M H. ``Practical Optimization'' @@ -10479,6 +12272,10 @@ Academic Press. 1981 \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} +\index{Saunders, M. A.} +\index{Wright, M. H.} \begin{chunk}{ignore} \bibitem[Gill 82]{GMW82} Gill P E.; Murray W.; Saunders M A.; Wright M H. ``The design and implementation of a quadratic programming algorithm'' @@ -10487,6 +12284,10 @@ Stanford University. (1982) \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} +\index{Saunders, M. A.} +\index{Wright, M. H.} \begin{chunk}{ignore} \bibitem[Gill 84a]{GMSW84a} Gill P E.; Murray W.; Saunders M A.; Wright M H ``User's Guide for SOL/QPSOL Version 3.2'' @@ -10494,6 +12295,10 @@ Report SOL 84-5. Department of Operations Research, Stanford University. 1984 \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} +\index{Saunders, M. A.} +\index{Wright, M. H.} \begin{chunk}{ignore} \bibitem[Gill 84b]{GMSW84b} Gill P E.; Murray W.; Saunders M A.; Wright M H ``Procedures for Optimization Problems with a Mixture of @@ -10502,6 +12307,9 @@ ACM Trans. Math. Softw. 10 282--298. 1984 \end{chunk} +\index{Gill, P. E.} +\index{Hammarling S.} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Gill 86a]{GMSW86a} Gill P E.; Hammarling S.; Murray W.; Saunders M A.; Wright M H. @@ -10510,6 +12318,10 @@ Report SOL 86-1. Department of Operations Research, Stanford University. 1986 \end{chunk} +\index{Gill, P. E.} +\index{Murray, W.} +\index{Saunders, M. A.} +\index{Wright, M. H.} \begin{chunk}{ignore} \bibitem[Gill 86b]{GMSW86b} Gill P E.; Murray W.; Saunders M A.; Wright M H. ``Some Theoretical Properties of an Augmented Lagrangian Merit Function'' @@ -10517,6 +12329,7 @@ Report SOL 86-6R. Department of Operations Research, Stanford University. 1986 \end{chunk} +\index{Gladwell, I.} \begin{chunk}{ignore} \bibitem[Gladwell 79]{Gla79} Gladwell I ``Initial Value Routines in the NAG Library'' @@ -10524,6 +12337,8 @@ ACM Trans Math Softw. 5 386--400. (1979) \end{chunk} +\index{Gladwell, I.} +\index{Sayers, D. K.} \begin{chunk}{ignore} \bibitem[Gladwell 80]{GS80} Gladwell I.; Sayers D K ``Computational Techniques for Ordinary Differential Equations'' @@ -10531,6 +12346,7 @@ Academic Press. 1980 \end{chunk} +\index{Gladwell, I.} \begin{chunk}{ignore} \bibitem[Gladwell 86]{Gla86} Gladwell I ``Vectorisation of one dimensional quadrature codes'' @@ -10538,6 +12354,7 @@ Techincal Report. TR7/86 NAG. (1986) \end{chunk} +\index{Gladwell, I.} \begin{chunk}{ignore} \bibitem[Gladwell 87]{Gla87} Gladwell I ``The NAG Library Boundary Value Codes'' @@ -10545,6 +12362,7 @@ Numerical Analysis Report. 134 Manchester University. (1987) \end{chunk} +\index{Goedel} \begin{chunk}{ignore} \bibitem[Goedel 40]{God40} Goedel ``The consistency of the continuum hypothesis'' @@ -10552,6 +12370,7 @@ Ann. Math. Studies, Princeton Univ. Press, 1940 \end{chunk} +\index{Goldman, L.} \begin{chunk}{ignore} \bibitem[Goldman 87]{Gold87} Goldman, L. ``Integrals of multinomial systems of ordinary differential equations'' @@ -10563,6 +12382,8 @@ J. of Pure and Applied Algebra, 45, 225-240 (1987) \end{chunk} +\index{H. Gollan} +\index{Grabmeier, Johannes} \begin{chunk}{ignore} \bibitem[Gollan 90]{GG90} H. Gollan; J. Grabmeier ``Algorithms in Representation Theory and @@ -10571,6 +12392,8 @@ Bayreuther Mathematische Schriften, Heft 33, 1990, 1-23 \end{chunk} +\index{Golub, Gene H.} +\index{Van Loan, Charles F.} \begin{chunk}{ignore} \bibitem[Golub 89]{GL89} Golub, Gene H.; Van Loan, Charles F. ``Matrix Computations'' @@ -10578,6 +12401,8 @@ Johns Hopkins University Press ISBN 0-8018-3772-3 (1989) \end{chunk} +\index{Golub, Gene H.} +\index{Van Loan, Charles F.} \begin{chunk}{ignore} \bibitem[Golub 96]{GL96} Golub, Gene H.; Van Loan, Charles F. ``Matrix Computations'' @@ -10585,6 +12410,7 @@ Johns Hopkins University Press ISBN 978-0-8018-5414-9 (1996) \end{chunk} +\index{Grabmeier, Johannes} \begin{chunk}{ignore} \bibitem[Grabmeier]{Grab} Grabmeier, J. ``On Plesken's root finding algorithm'' @@ -10592,6 +12418,8 @@ in preparation \end{chunk} +\index{Grabmeier, Johannes} +\index{Kerber, A.} \begin{chunk}{ignore} \bibitem[Grebmeier 87]{GK87} Grabmeier, J.; Kerber, A.; ``The Evaluation of Irreducible Polynomial Representations of the General @@ -10600,6 +12428,8 @@ Acta Appl. Math. 8 (1987), 271-291 \end{chunk} +\index{Grabmeier, Johannes} +\index{Scheerhorn, A.} \begin{chunk}{ignore} \bibitem[Grabmeier 92]{REF-GS92} Grabmeier, J.; Scheerhorn, A. ``Finite fields in Axiom'' @@ -10610,6 +12440,7 @@ Grove, IL, USA and Oxford, UK, 1992 \end{chunk} +\index{Granville, William Anthony} \begin{chunk}{ignore} \bibitem[Granville 1911]{Gran1911} Granville, William Anthony ``Elements of the Differential and Integral Calculus'' @@ -10618,6 +12449,7 @@ Grove, IL, USA and Oxford, UK, 1992 \end{chunk} +\index{Gruntz, Dominik} \begin{chunk}{ignore} \bibitem[Gruntz 93]{Gru93} Gruntz, Dominik ``Limit computation in computer algebra'' @@ -10647,6 +12479,8 @@ Grove, IL, USA and Oxford, UK, 1992 \subsection{H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Hach\'e, G.} +\index{Le Brigand, D.} \begin{chunk}{axiom.bib} @article{Hach95, author = "Hach\'e, G. and Le Brigand, D.", @@ -10660,6 +12494,7 @@ Grove, IL, USA and Oxford, UK, 1992 \end{chunk} +\index{Hach\'e, G.} \begin{chunk}{axiom.bib} @article{Hach95a, author = "Hach\'e, G.", @@ -10673,6 +12508,7 @@ Grove, IL, USA and Oxford, UK, 1992 \end{chunk} +\index{Hach\'e, G.} \begin{chunk}{axiom.bib} @phdthesis{Hach96, author = "Hach\'e, G.", @@ -10684,6 +12520,8 @@ Grove, IL, USA and Oxford, UK, 1992 \end{chunk} +\index{Hall, G.} +\index{Watt J M.} \begin{chunk}{ignore} \bibitem[Hall 76]{HW76} Hall G.; Watt J M. (eds), ``Modern Numerical Methods for Ordinary Differential Equations'' @@ -10691,6 +12529,7 @@ Clarendon Press. (1976) \end{chunk} +\index{Hamdy, S.} \begin{chunk}{ignore} \bibitem[Hamdy 04]{Ham04} Hamdy, S. ``LiDIA A library for computational number theory'' @@ -10699,6 +12538,7 @@ Reference manual Edition 2.1.1 May 2004 \end{chunk} +\index{Hammarling S.} \begin{chunk}{ignore} \bibitem[Hammarling 85]{Ham85} Hammarling S. `` The Singular Value Decomposition in Multivariate Statistics'' @@ -10706,6 +12546,8 @@ ACM Signum Newsletter. 20, 3 2--25. (1985) \end{chunk} +\index{Hammersley, J. M.} +\index{Handscomb, D. C.} \begin{chunk}{ignore} \bibitem[Hammersley 67]{HH67} Hammersley J M; Handscomb D C. ``Monte-Carlo Methods'' @@ -10713,6 +12555,7 @@ Methuen. (1967) \end{chunk} +\index{Hathway, Arthur S.} \begin{chunk}{axiom.bib} @misc{Hath1896, author = "Hathway, Arthur S.", @@ -10722,6 +12565,13 @@ Methuen. (1967) \end{chunk} +\index{Hayashi, K.} +\index{Kangkook, J.} +\index{Lascu, O.} +\index{Pienaar, H.} +\index{Schreitmueller, S.} +\index{Tarquinio, T.} +\index{Thompson, J.} \begin{chunk}{axiom.bib} @book{Haya05, author = "Hayashi, K. and Kangkook, J. and Lascu, O. and Pienaar, H. and @@ -10734,6 +12584,8 @@ Methuen. (1967) } \end{chunk} + +\index{Hayes, J. G.} \begin{chunk}{ignore} \bibitem[Hayes 70]{Hay70} Hayes J G. ``Curve Fitting by Polynomials in One Variable'' @@ -10742,6 +12594,7 @@ Numerical Approximation to Functions and Data. \end{chunk} +\index{Hayes, J. G.} \begin{chunk}{ignore} \bibitem[Hayes 74]{Hay74} Hayes J G. ``Numerical Methods for Curve and Surface Fitting'' @@ -10749,6 +12602,8 @@ Bull Inst Math Appl. 10 144--152. (1974) \end{chunk} +\index{Hayes, J. G.} +\index{Halliday, J.} \begin{chunk}{ignore} \bibitem[Hayes 74a]{HH74} Hayes J G.; Halliday J, ``The Least-squares Fitting of Cubic Spline Surfaces to General Data Sets'' @@ -10756,6 +12611,7 @@ J. Inst. Math. Appl. 14 89--103. (1974) \end{chunk} +\index{Henrici, Peter} \begin{chunk}{ignore} \bibitem[Henrici 56]{Hen56} Henrici, Peter ``Automatic Computations with Power Series'' @@ -10764,6 +12620,7 @@ January 1956, 10-15 \end{chunk} +\index{Higham, Nicholas J.} \begin{chunk}{ignore} \bibitem[Higham 88]{Hig88} Higham, N.J. ``FORTRAN codes for estimating the one-norm of a @@ -10772,6 +12629,7 @@ ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988. \end{chunk} +\index{Higham, Nicholas J.} \begin{chunk}{ignore} \bibitem[Higham 02]{Hig02} Higham, Nicholas J. ``Accuracy and stability of numerical algorithms'' @@ -10779,6 +12637,8 @@ SIAM Philadelphia, PA ISBN 0-89871-521-0 (2002) \end{chunk} +\index{Hock, W.} +\index{Schittkowski, K.} \begin{chunk}{ignore} \bibitem[Hock 81]{HS81} Hock W.; Schittkowski K. ``Test Examples for Nonlinear Programming Codes'' @@ -10786,6 +12646,7 @@ Lecture Notes in Economics and Mathematical Systems. 187 Springer-Verlag. 1981 \end{chunk} +\index{Householder, Alston S.} \begin{chunk}{ignore} \bibitem[Householder 70]{Hou70} Householder A S. ``The Numerical Treatment of a Single Nonlinear Equation'' @@ -10793,6 +12654,7 @@ McGraw-Hill. (1970) \end{chunk} +\index{Householder, Alston S.} \begin{chunk}{axiom.bib} @book{Hous81, author = "Householder, Alston S.", @@ -10804,6 +12666,8 @@ McGraw-Hill. (1970) \end{chunk} +\index{Huang, M.D.} +\index{Ierardi, D.} \begin{chunk}{ignore} \bibitem[Huang 96]{HI96} Huang, M.D.; Ierardi, D. ``Efficient algorithms for Riemann-Roch problem and for addition in the @@ -10823,6 +12687,8 @@ Dept. G68, P.O. Box 1900, Boulder, Colorado, USA 80301-9191. \end{chunk} +\index{Itoh, T.} +\index{Tsujii, S.} \begin{chunk}{ignore} \bibitem[Itoh 88]{Itoh88} Itoh, T.;, Tsujii, S. ``A fast algorithm for computing multiplicative inverses @@ -10849,6 +12715,8 @@ Inf. and Comp. 78, pp.171-177, 1988 \end{chunk} +\index{Iyanaga, Shokichi} +\index{Iyanaga, Yukiyosi Kawada} \begin{chunk}{ignore} \bibitem[Iyanaga 77]{Iya77} Iyanaga, Shokichi; Iyanaga, Yukiyosi Kawada ``Encyclopedic Dictionary of Mathematics'' @@ -10858,6 +12726,7 @@ Inf. and Comp. 78, pp.171-177, 1988 \subsection{J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Jacobson, N.} \begin{chunk}{ignore} \bibitem[Jacobson 68]{Jac68} Jacobson, N. ``Structure and Representations of Jordan Algebras'' @@ -10865,6 +12734,8 @@ AMS, Colloquium Publications Volume 39 \end{chunk} +\index{James, Gordon} +\index{Kerber, Adalbert} \begin{chunk}{ignore} \bibitem[James 81]{JK81} James, Gordon; Kerber, Adalbert ``The Representation Theory of the Symmetric Group'' @@ -10873,6 +12744,8 @@ Addison-Wesley, 1981 \end{chunk} +\index{Jaswon, M. A.} +\index{Symm, G. T.} \begin{chunk}{ignore} \bibitem[Jaswon 77]{JS77} Jaswon, M A.; Symm G T. ``Integral Equation Methods in Potential Theory and Elastostatics'' @@ -10880,6 +12753,7 @@ Academic Press. (1977) \end{chunk} +\index{Jeffrey, Alan} \begin{chunk}{ignore} \bibitem[Jeffrey 04]{Je04} Jeffrey, Alan ``Handbook of Mathematical Formulas and Integrals'' @@ -10887,6 +12761,7 @@ Third Edition, Elsevier Academic Press ISBN 0-12-382256-4 \end{chunk} +\index{Jennings, A.} \begin{chunk}{ignore} \bibitem[Jenning 66]{Jen66} Jennings A ``A Compact Storage Scheme for the Solution of Symmetric Linear @@ -10897,6 +12772,7 @@ Comput. J. 9 281--285. (1966) \subsection{K} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Kalkbrener, M.} \begin{chunk}{ignore} \bibitem[Kalkbrener 91]{Kal91} Kalkbrener, M. ``Three contributions to elimination theory'' @@ -10904,6 +12780,7 @@ Ph. D. Thesis, University of Linz, Austria, 1991 \end{chunk} +\index{Kalkbrener, M.} \begin{chunk}{ignore} \bibitem[Kalkbrener 98]{Kal98} Kalkbrener, M. ``Algorithmic properties of polynomial rings'' @@ -10911,6 +12788,8 @@ Journal of Symbolic Computation 1998 \end{chunk} +\index{Kantor, I.L.} +\index{Solodovnikov, A.S.} \begin{chunk}{ignore} \bibitem[Kantor 89]{Kan89} Kantor,I.L.; Solodovnikov, A.S. ``Hypercomplex Numbers'' @@ -10918,6 +12797,8 @@ Springer Verlag Heidelberg, 1989, ISBN 0-387-96980-2 \end{chunk} +\index{Kaufmann, Matt} +\index{Manolios, Panagiotis} \begin{chunk}{ignore} \bibitem[Kaufmann 00]{KMJ00} Kaufmann, Matt; Manolios, Panagiotis; Moore J Strother @@ -10926,6 +12807,7 @@ Springer, July 31. 2000 ISBN 0792377443 \end{chunk} +\index{Knuth, Donald E.} \begin{chunk}{ignore} \bibitem[Knuth 71]{Knu71} Knuth, Donald ``The Art of Computer Programming'' @@ -10934,6 +12816,7 @@ Addison-Wesley 1971, p. 397-398 \end{chunk} +\index{Knuth, Donald E.} \begin{chunk}{ignore} \bibitem[Knuth 84]{Knu84} Knuth, Donald {\it The \TeX{}book}. @@ -10942,6 +12825,7 @@ Reading, Massachusetts, Addison-Wesley Publishing Company, Inc., \end{chunk} +\index{Knuth, Donald E.} \begin{chunk}{axiom.bib} @book{Knut92, author = "Knuth, Donald E.", @@ -10953,6 +12837,7 @@ Reading, Massachusetts, Addison-Wesley Publishing Company, Inc., \end{chunk} +\index{Knuth, Donald E.} \begin{chunk}{ignore} \bibitem[Knu98]{Knu98} Donald Knuth ``The Art of Computer Programming'' Vol. 3 @@ -10961,6 +12846,9 @@ Addison-Wesley 1998 \end{chunk} +\index{Kobayashi, H.} +\index{Moritsugu, S.} +\index{Hogan, R.W.} \begin{chunk}{ignore} \bibitem[Kobayashi 89]{Koba89} Kobayashi, H.; Moritsugu, S.; Hogan, R.W. ``On Radical Zero-Dimensional Ideals'' @@ -10972,6 +12860,7 @@ J. Symbolic Computations 8, 545-552 (1989) \end{chunk} +\index{Kolchin, E.R.} \begin{chunk}{ignore} \bibitem[Kolchin 73]{Kol73} Kolchin, E.R. ``Differential Algebra and Algebraic Groups'' @@ -10979,6 +12868,7 @@ J. Symbolic Computations 8, 545-552 (1989) \end{chunk} +\index{Koutschan, Christoph} \begin{chunk}{ignore} \bibitem[Koutschan 10]{Kou10} Koutschan, Christoph ``Axiom / FriCAS'' @@ -10986,6 +12876,8 @@ J. Symbolic Computations 8, 545-552 (1989) \end{chunk} +\index{Kozen, Dexter} +\index{Landau, Susan} \begin{chunk}{ignore} \bibitem[Kozen 86]{KL86} Kozen, Dexter; Landau, Susan ``Polynomial Decomposition Algorithms'' @@ -10996,6 +12888,7 @@ Journal of Symbolic Computation (1989) 7, 445-456 \subsection{L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Lamport, Leslie} \begin{chunk}{axiom.bib} @book{Lamp86, author = "Lamport, Leslie", @@ -11007,6 +12900,7 @@ Journal of Symbolic Computation (1989) 7, 445-456 \end{chunk} +\index{Lautrup, B.} \begin{chunk}{ignore} \bibitem[Lautrup 71]{Lau71} Lautrup B. ``An Adaptive Multi-dimensional Integration Procedure'' @@ -11014,6 +12908,7 @@ Proc. 2nd Coll. on Advanced Methods in Theoretical Physics, Marseille. (1971) \end{chunk} +\index{Lawson, C. L.} \begin{chunk}{ignore} \bibitem[Lawson 77]{Law77} Lawson C L. ``Software for C Surface Interpolation'' @@ -11021,6 +12916,8 @@ Mathematical Software III. (ed J R Rice) Academic Press. 161--194. (1977) \end{chunk} +\index{Lawson, C. L.} +\index{Hanson, R. J.} \begin{chunk}{ignore} \bibitem[Lawson 74]{LH74} Lawson C L.; Hanson R J. ``Solving Least-squares Problems'' @@ -11028,6 +12925,10 @@ Prentice-Hall. (1974) \end{chunk} +\index{Lawson, C. L.} +\index{Hanson, R. J.} +\index{Kincaid, D.R.} +\index{Krogh, F.T.} \begin{chunk}{axiom.bib} @article{Laws79, author = "Lawson, C.L. and Hanson R.J. and Kincaid, D.R. and Krogh, F.T.", @@ -11042,6 +12943,10 @@ Prentice-Hall. (1974) \end{chunk} +\index{Lawson, C. L.} +\index{Hanson, R. J.} +\index{Kincaid, D.R.} +\index{Krogh, F.T.} \begin{chunk}{ignore} \bibitem[Lawson 79]{LHKK79} Lawson C L; Hanson R J; Kincaid D R; Krogh F T @@ -11050,6 +12955,7 @@ ACM Trans. Math. Softw. 5 308--325. (1979) \end{chunk} +\index{Lazard, Daniel} \begin{chunk}{ignore} \bibitem[Lazard 91]{Laz91} Lazard, D. ``A new method for solving algebraic systems of positive dimension'' @@ -11057,6 +12963,7 @@ Discr. App. Math. 33:147-160,1991 \end{chunk} +\index{Lazard, Daniel} \begin{chunk}{ignore} \bibitem[Lazard92]{Laz92} Lazard, D. ``Solving Zero-dimensional Algebraic Systems'' @@ -11064,6 +12971,8 @@ Journal of Symbolic Computation, 1992, 13, 117-131 \end{chunk} +\index{Lazard, Daniel} +\index{Rioboo, Renaud} \begin{chunk}{axiom.bib} @article{Laza90, author = "Lazard, Daniel and Rioboo, Renaud", @@ -11088,6 +12997,8 @@ Journal of Symbolic Computation, 1992, 13, 117-131 \end{chunk} +\index{Le Brigand, D.} +\index{Risler, J.J.} \begin{chunk}{axiom.bib} @article{LeBr88, author = "Le Brigand, D.; Risler, J.J.", @@ -11100,6 +13011,8 @@ Journal of Symbolic Computation, 1992, 13, 117-131 \end{chunk} +\index{Legendre, George L.} +\index{Grazini, Stefano} \begin{chunk}{axiom.bib} @book{Lege11, author = "Legendre, George L. and Grazini, Stefano", @@ -11111,6 +13024,8 @@ Journal of Symbolic Computation, 1992, 13, 117-131 \end{chunk} +\index{Lenstra, H. W.} +\index{Schoof, R. J.} \begin{chunk}{ignore} \bibitem[Lenstra 87]{LS87} Lenstra, H. W.; Schoof, R. J. ``Primitivive Normal Bases for Finite Fields'' @@ -11118,6 +13033,7 @@ Math. Comp. 48, 1987, pp. 217-231 \end{chunk} +\index{Leopardi, Paul} \begin{chunk}{axiom.bib} @misc{Leop03, author = "Leopardi, Paul", @@ -11129,6 +13045,7 @@ Math. Comp. 48, 1987, pp. 217-231 \end{chunk} +\index{Lewis, J. G,} \begin{chunk}{ignore} \bibitem[Lewis 77]{Lew77} Lewis J G, ``Algorithms for sparse matrix eigenvalue problems'' @@ -11137,6 +13054,8 @@ Stanford University. (1977) \end{chunk} +\index{Lidl, R.} +\index{Niederreiter, H.} \begin{chunk}{ignore} \bibitem[Lidl 83]{LN83} Lidl, R.; Niederreiter, H. ``Finite Field, Encycoldia of Mathematics and Its Applications'' @@ -11144,6 +13063,8 @@ Vol. 20, Cambridge Univ. Press, 1983 ISBN 0-521-30240-4 \end{chunk} +\index{Linger, Richard C.} +\index{Mills, Harlan D.} \begin{chunk}{ignore} \bibitem[Linger 79]{LMW79} Linger, Richard C.; Mills, Harlan D.; Witt, Bernard I. @@ -11152,6 +13073,7 @@ Addison-Wesley (March 1979) ISBN 0201144611 \end{chunk} +\index{Lipson, D.} \begin{chunk}{ignore} \bibitem[Lipson 81]{Lip81} Lipson, D. ``Elements of Algebra and Algebraic Computing'' @@ -11159,6 +13081,9 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{Loetzsch, Martin} +\index{Bleys, Joris} +\index{Wellens, Pieter} \begin{chunk}{axiom.bib} @misc{Loet09, author = "Loetzsch, Martin and Bleys, Joris and Wellens, Pieter", @@ -11170,6 +13095,7 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{Loetzsch, Martin} \begin{chunk}{axiom.bib} @misc{Loet00, author = "Loetzsch, M.", @@ -11180,6 +13106,7 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{L\"osch, Friedrich} \begin{chunk}{axiom.bib} @book{Losc60, author = {L\"osch, Friedrich}, @@ -11197,6 +13124,7 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{Luke, Yudell L.} \begin{chunk}{axiom.bib} @book{Luke69a, author = "Luke, Yudell L.", @@ -11209,6 +13137,7 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{Luke, Yudell L.} \begin{chunk}{axiom.bib} @book{Luke69b, author = "Luke, Yudell L.", @@ -11221,6 +13150,7 @@ The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981. \end{chunk} +\index{Lyness, J. N.} \begin{chunk}{ignore} \bibitem[Lyness 83]{Lyn83} Lyness J N. ``When not to use an automatic quadrature routine'' @@ -11230,6 +13160,8 @@ SIAM Review. 25 63--87. (1983) \subsection{M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Mac Lane, Saunders} +\index{Birkhoff, Garret} \begin{chunk}{ignore} \bibitem[Mac Lane 79]{MB79} Mac Lane, Saunders; Birkhoff, Garret ``Algebra'' @@ -11237,6 +13169,7 @@ AMS Chelsea Publishing ISBN 0821816462 \end{chunk} +\index{Malcolm, M. A.} \begin{chunk}{ignore} \bibitem[Malcolm 72]{Mal72} Malcolm M. A. ``Algorithms to reveal properties of floating-point arithmetic'' @@ -11244,6 +13177,8 @@ Comms. of the ACM, 15, 949-951. (1972) \end{chunk} +\index{Malcolm, M. A.} +\index{Simpson, R. B.} \begin{chunk}{ignore} \bibitem[Malcolm 76]{MS76} Malcolm M A.; Simpson R B. ``Local Versus Global Strategies for Adaptive Quadrature'' @@ -11251,6 +13186,7 @@ ACM Trans. Math. Softw. 1 129--146. (1976) \end{chunk} +\index{Marden, M.} \begin{chunk}{ignore} \bibitem[Marden 66]{Mar66} Marden M. ``Geometry of Polynomials'' @@ -11258,6 +13194,7 @@ Mathematical Surveys. 3 Am. Math. Soc., Providence, RI. (1966) \end{chunk} +\index{Marshak, U.} \begin{chunk}{axiom.bib} @misc{Mars07, author = "Marshak, U.", @@ -11268,6 +13205,8 @@ Mathematical Surveys. 3 Am. Math. Soc., Providence, RI. (1966) \end{chunk} +\index{Maza, Marc Moreno} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Maza 95]{MR95} Maza, M. Moreno; Rioboo, R. ``Computations of gcd over algebraic towers of simple extensions'' @@ -11275,6 +13214,7 @@ In proceedings of AAECC11 Paris, 1995. \end{chunk} +\index{Maza, Marc Moreno} \begin{chunk}{ignore} \bibitem[Maza 97]{Maz97} Maza, M. Moreno ``Calculs de pgcd au-dessus des tours @@ -11283,6 +13223,7 @@ These, Universite P.etM. Curie, Paris, 1997. \end{chunk} +\index{Maza, Marc Moreno} \begin{chunk}{ignore} \bibitem[Maza 98]{Maz98} Maza, M. Moreno ``A new algorithm for computing triangular @@ -11291,6 +13232,7 @@ decomposition of algebraic varieties'' \end{chunk} +\index{Mignotte, Maurice} \begin{chunk}{ignore} \bibitem[Mignotte 82]{Mig82} Mignotte, Maurice ``Some Useful Bounds'' @@ -11298,6 +13240,7 @@ Computing, Suppl. 4, 259-263 (1982), Springer-Verlag \end{chunk} +\index{McCarthy, G. J.} \begin{chunk}{ignore} \bibitem[McCarthy 83]{McC83} McCarthy G J. ``Investigation into the Multigrid Code MGD1'' @@ -11305,6 +13248,7 @@ Report AERE-R 10889. Harwell. (1983) \end{chunk} +\index{Mielenz, Klaus D.} \begin{chunk}{ignore} \bibitem[Mie97]{Mie97} Mielenz, Klaus D. ``Computation of Fresnel Integrals'' @@ -11312,6 +13256,7 @@ J. Res. Natl. Inst. Stand. Technol. (NIST) V102 No3 May-June 1997 pp363-365 \end{chunk} +\index{Mielenz, Klaus D.} \begin{chunk}{ignore} \bibitem[Mie00]{Mie00} Mielenz, Klaus D. ``Computation of Fresnel Integrals II'' @@ -11319,6 +13264,7 @@ J. Res. Natl. Inst. Stand. Technol. (NIST) V105 No4 July-Aug 2000 pp589-590 \end{chunk} +\index{Millen, J. K.} \begin{chunk}{ignore} \bibitem[Millen 68]{Mil68} Millen, J. K. ``CHARYBDIS: A LISP program to display mathematical expressions on @@ -11329,6 +13275,7 @@ M. Klerer and J. Reinfelds, eds., Academic Press, New York 1968, pp79-90 \end{chunk} +\index{Henryk, Minc} \begin{chunk}{ignore} \bibitem[Minc 79]{Min79} Henryk Minc ``Evaluation of Permanents'' @@ -11336,6 +13283,9 @@ Proc. of the Edinburgh Math. Soc.(1979), 22/1 pp 27-32. \end{chunk} +\index{More, J. J.} +\index{Garbow, B. S.} +\index{Hillstrom, K. E.} \begin{chunk}{ignore} \bibitem[More 74]{MGH74} More J J.; Garbow B S.; Hillstrom K E. ``User Guide for Minpack-1'' @@ -11343,6 +13293,8 @@ ANL-80-74 Argonne National Laboratory. (1974) \end{chunk} +\index{Mikhlin, S. G.} +\index{Smolitsky, K. L.} \begin{chunk}{ignore} \bibitem[Mikhlin 67]{MS67} Mikhlin S G.; Smolitsky K L. ``Approximate Methods for the Solution of Differential and @@ -11351,6 +13303,8 @@ Elsevier. (1967) \end{chunk} +\index{Mitchell, A. R.} +\index{Griffiths, D. F.} \begin{chunk}{ignore} \bibitem[Mitchell 80]{MG80} Mitchell A R.; Griffiths D F. ``The Finite Difference Method in Partial Differential Equations'' @@ -11358,6 +13312,8 @@ Wiley. (1980) \end{chunk} +\index{Moler, C. B.} +\index{Stewart, G. W.} \begin{chunk}{ignore} \bibitem[Moler 73]{MS73} Moler C B.; Stewart G W. ``An Algorithm for Generalized Matrix Eigenproblems'' @@ -11365,6 +13321,7 @@ SIAM J. Numer. Anal. 10 241--256. 1973 \end{chunk} +\index{Mulders, Thom} \begin{chunk}{axiom.bib} @article{Muld97, author = "Mulders, Thom", @@ -11385,6 +13342,7 @@ SIAM J. Numer. Anal. 10 241--256. 1973 \end{chunk} +\index{Munksgaard N.} \begin{chunk}{ignore} \bibitem[Munksgaard 80]{Mun80} Munksgaard N. ``Solving Sparse Symmetric Sets of Linear Equations by Pre-conditioned @@ -11393,6 +13351,7 @@ ACM Trans. Math. Softw. 6 206--219. (1980) \end{chunk} +\index{Murray, W.} \begin{chunk}{ignore} \bibitem[Murray 72]{Mur72} Murray W, (ed) ``Numerical Methods for Unconstrained Optimization'' @@ -11400,6 +13359,8 @@ Academic Press. (1972) \end{chunk} +\index{Murtagh, B. A.} +\index{Saunders, M. A.} \begin{chunk}{ignore} \bibitem[Murtagh 83]{MS83} Murtagh B A.; Saunders M A ``MINOS 5.0 User's Guide'' @@ -11407,6 +13368,7 @@ Report SOL 83-20. Department of Operations Research, Stanford University 1983 \end{chunk} +\index{Musser, David R.} \begin{chunk}{ignore} \bibitem[Musser 78]{Mus78} Musser, David R. ``On the Efficiency of a Polynomial Irreducibility Test'' @@ -11416,6 +13378,8 @@ Journal of the ACM, Vol. 25, No. 2, April 1978, pp. 271-282 \subsection{N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Nijenhuis} +\index{Wilf} \begin{chunk}{ignore} \bibitem[Nijenhuis 78]{NW78} Nijenhuis and Wilf ``Combinatorical Algorithms'' @@ -11423,6 +13387,7 @@ Academic Press, New York 1978. \end{chunk} +\index{Nikolai, P. J.} \begin{chunk}{ignore} \bibitem[Nikolai 79]{Nik79} Nikolai P J. ``Algorithm 538: Eigenvectors and eigenvalues of real generalized @@ -11442,6 +13407,7 @@ ACM Trans. Math. Softw. 5 118--125. (1979) \end{chunk} +\index{Ollagnier, Jean Moulin} \begin{chunk}{ignore} \bibitem[Ollagnier 94]{Olla94} Ollagnier, Jean Moulin ``Algorithms and methods in differential algebra'' @@ -11450,6 +13416,8 @@ ACM Trans. Math. Softw. 5 118--125. (1979) \end{chunk} +\index{Olver, Frank W.} +\index{Lozier, Daniel W.} \begin{chunk}{ignore} \bibitem[Olver 10]{NIST10} Olver, Frank W.; Lozier, Daniel W.; Boisvert, Ronald F.; Clark, Charles W. (ed) @@ -11465,6 +13433,8 @@ Boisvert, Ronald F.; Clark, Charles W. (ed) \end{chunk} +\index{Ortega, J. M.} +\index{Rheinboldt, W. C.} \begin{chunk}{ignore} \bibitem[Ortega 70]{OR70} Ortega J M.; Rheinboldt W C. ``Iterative Solution of Nonlinear Equations in Several Variables'' @@ -11472,6 +13442,7 @@ Academic Press. (1970) \end{chunk} +\index{Ostrogradsky. M.W.} \begin{chunk}{axiom.bib} @misc{Ostr1845, author = "Ostrogradsky. M.W.", @@ -11487,6 +13458,8 @@ Academic Press. (1970) \subsection{P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Paige, C. C.} +\index{Saunders, M. A.} \begin{chunk}{ignore} \bibitem[Paige 75]{PS75} Paige C C.; Saunders M A. ``Solution of Sparse Indefinite Systems of Linear Equations'' @@ -11494,6 +13467,8 @@ SIAM J. Numer. Anal. 12 617--629. (1975) \end{chunk} +\index{Paige, C. C.} +\index{Saunders, M. A.} \begin{chunk}{ignore} \bibitem[Paige 82a]{PS82a} Paige C C.; Saunders M A. ``LSQR: An Algorithm for Sparse Linear Equations and Sparse Least-squares'' @@ -11501,6 +13476,8 @@ ACM Trans. Math. Softw. 8 43--71. (1982) \end{chunk} +\index{Paige, C. C.} +\index{Saunders, M. A.} \begin{chunk}{ignore} \bibitem[Paige 82b]{PS82b} Paige C C.; Saunders M A. ``ALGORITHM 583 LSQR: Sparse Linear Equations and Least-squares Problems'' @@ -11508,6 +13485,7 @@ ACM Trans. Math. Softw. 8 195--209. (1982) \end{chunk} +\index{Parker, R. A.} \begin{chunk}{ignore} \bibitem[Parker 84]{Par84} Parker, R. A. ``The Computer Calculation of Modular Characters (The Meat-Axe)'' @@ -11516,6 +13494,7 @@ Academic Press, Inc., London 1984 \end{chunk} +\index{Parlett, B. N.} \begin{chunk}{ignore} \bibitem[Parlett 80]{Par80} Parlett B N. ``The Symmetric Eigenvalue Problem'' @@ -11523,6 +13502,8 @@ Prentice-Hall. 1980 \end{chunk} +\index{Parnas, David Lorge} +\index{Jin, Ying} \begin{chunk}{ignore} \bibitem[Parnas 10]{PJ10} Parnas, David Lorge; Jin, Ying ``Defining the meaning of tabular mathematical expressions'' @@ -11530,6 +13511,8 @@ Science of Computer Programming V75 No.11 Nov 2010 pp980-1000 Elesevier \end{chunk} +\index{Parnas, David Lorge} +\index{Madey, Jan} \begin{chunk}{ignore} \bibitem[Parnas 95]{PM95} Parnas, David Lorge; Madey, Jan ``Functional Documents for Computer Systems'' @@ -11537,6 +13520,7 @@ Science of Computer Programming V25 No.1 Oct 1995 pp41-61 Elesevier \end{chunk} +\index{Paul, Richard} \begin{chunk}{ignore} \bibitem[Paul 81]{Paul81} Paul, Richard ``Robot Manipulators'' @@ -11544,6 +13528,7 @@ MIT Press 1981 \end{chunk} +\index{Pearcey, T.} \begin{chunk}{axiom.bib} @book{Pear56, author = "Pearcey, T.", @@ -11554,6 +13539,7 @@ MIT Press 1981 \end{chunk} +\index{Pereyra V.} \begin{chunk}{ignore} \bibitem[Pereyra 79]{Per79} Pereyra V. ``PASVA3: An Adaptive Finite-Difference Fortran Program for First Order @@ -11565,6 +13551,7 @@ Springer-Verlag. (1979) \end{chunk} +\index{Peters G.} \begin{chunk}{ignore} \bibitem[Peters 67a]{Pet67a} Peters G. ``NPL Algorithms Library'' @@ -11572,6 +13559,7 @@ Document No. F2/03/A. (1967) \end{chunk} +\index{Peters G.} \begin{chunk}{ignore} \bibitem[Peters 67b]{Pet67b} Peters G. ``NPL Algorithms Library'' @@ -11579,6 +13567,8 @@ Document No.F1/04/A (1967) \end{chunk} +\index{Peters G.} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Peters 70]{PW70} Peters G.; Wilkinson J H. ``The Least-squares Problem and Pseudo-inverses'' @@ -11586,6 +13576,8 @@ Comput. J. 13 309--316. (1970) \end{chunk} +\index{Peters, G.} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Peters 71]{PW71} Peters G.; Wilkinson J H. ``Practical Problems Arising in the Solution of Polynomial Equations'' @@ -11593,6 +13585,7 @@ J. Inst. Maths Applics. 8 16--35. (1971) \end{chunk} +\index{Pierce, R.S.} \begin{chunk}{ignore} \bibitem[Pierce 82]{Pie82} R.S. Pierce ``Associative Algebras'' @@ -11601,6 +13594,7 @@ Springer-Verlag, Heidelberg, 1982, ISBN 0-387-90693-2 \end{chunk} +\index{Piessens, R.} \begin{chunk}{ignore} \bibitem[Piessens 73]{Pie73} Piessens R. ``An Algorithm for Automatic Integration'' @@ -11608,13 +13602,18 @@ Angewandte Informatik. 15 399--401. (1973) \end{chunk} +\index{Piessens, R.} +\index{Mertens, I.} +\index{Branders, M.} \begin{chunk}{ignore} -\bibitem[Piessens 74]{PMB74} Piessens R.;; Mertens I.; Branders M. +\bibitem[Piessens 74]{PMB74} Piessens R.; Mertens I.; Branders M. ``Integration of Functions having End-point Singularities'' Angewandte Informatik. 16 65--68. (1974) \end{chunk} +\index{Piessens, R.} +\index{Branders, M.} \begin{chunk}{ignore} \bibitem[Piessens 75]{PB75} Piessens R.; Branders M. ``Algorithm 002. Computation of Oscillating Integrals'' @@ -11622,6 +13621,9 @@ J. Comput. Appl. Math. 1 153--164. (1975) \end{chunk} +\index{Piessens, R.} +\index{Van Roy-Branders, M.} +\index{Mertens, I.} \begin{chunk}{ignore} \bibitem[Piessens 76]{PVRBM76} Piessens R.; Van Roy-Branders M.; Mertens I. ``The Automatic Evaluation of Cauchy Principal Value Integrals'' @@ -11629,6 +13631,8 @@ Angewandte Informatik. 18 31--35. (1976) \end{chunk} +\index{Piessens, R.} +\index{De Doncker-Kapenga, E.} \begin{chunk}{ignore} \bibitem[Piessens 83]{PDUK83} Piessens R.; De Doncker-Kapenga E.; Uberhuber C.; Kahaner D. @@ -11637,6 +13641,7 @@ Springer-Verlag.(1983) \end{chunk} +\index{Polya, G.} \begin{chunk}{ignore} \bibitem[Polya 37]{Pol37} Polya, G. ``Kombinatorische Anzahlbestimmungen fur Gruppen, @@ -11645,6 +13650,7 @@ Acta Math. 68 (1937) 145-254. \end{chunk} +\index{Powell, M. J. D.} \begin{chunk}{ignore} \bibitem[Powell 70]{Pow70} Powell M J D. ``A Hybrid Method for Nonlinear Algebraic Equations'' @@ -11653,6 +13659,7 @@ Numerical Methods for Nonlinear Algebraic Equations. \end{chunk} +\index{Powell, M. J. D.} \begin{chunk}{ignore} \bibitem[Powell 74]{Pow74} Powell M J D. ``Introduction to Constrained Optimization'' @@ -11661,6 +13668,7 @@ Numerical Methods for Constrained Optimization. \end{chunk} +\index{Powell, M. J. D.} \begin{chunk}{ignore} \bibitem[Powell 83]{Pow83} Powell M J D. ``Variable Metric Methods in Constrained Optimization'' @@ -11669,6 +13677,7 @@ Mathematical Programming: The State of the Art. \end{chunk} +\index{Pratt, Vaughan R.} \begin{chunk}{axiom.bib} @inproceedings{Prat73, author = "Pratt, Vaughan R.", @@ -11685,6 +13694,8 @@ Mathematical Programming: The State of the Art. \end{chunk} +\index{Press, William H.} +\index{Teukolsky, Saul A.} \begin{chunk}{ignore} \bibitem[Press 95]{PTVF95} Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. @@ -11693,6 +13704,8 @@ Cambridge University Press (1995) ISBN 0-521-43108-5 \end{chunk} +\index{Pryce, J. D.} +\index{Hargrave, B. A.} \begin{chunk}{ignore} \bibitem[Pryce 77]{PH77} Pryce J D.; Hargrave B A. ``The Scale Pruefer Method for one-parameter and multi-parameter eigenvalue @@ -11701,6 +13714,7 @@ Inst. Math. Appl., Numerical Analysis Newsletter. 1(3) (1977) \end{chunk} +\index{Pryce, J. D.} \begin{chunk}{ignore} \bibitem[Pryce 81]{Pry81} Pryce J D. ``Two codes for Sturm-Liouville problems'' @@ -11708,6 +13722,7 @@ Technical Report CS-81-01. Dept of Computer Science, Bristol University (1981) \end{chunk} +\index{Pryce, J. D.} \begin{chunk}{ignore} \bibitem[Pryce 86]{Pry86} Pryce J D. ``Error Estimation for Phase-function Shooting Methods for @@ -11727,6 +13742,7 @@ J. Num. Anal. 6 103--123. (1986) \subsection{Q} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Quintana-Orti, Gregorio} \begin{chunk}{ignore} \bibitem[Quintana-Orti 06]{QG06} Quintana-Orti, Gregorio; van de Geijn, Robert @@ -11737,6 +13753,7 @@ ACM Transactions on Mathematical Software, 32(2):180-194, June 2006. \subsection{R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Rabinowitz, P.} \begin{chunk}{ignore} \bibitem[Rabinowitz 70]{Rab70} Rabinowitz P. ``Numerical Methods for Nonlinear Algebraic Equations'' @@ -11744,6 +13761,7 @@ Gordon and Breach. (1970) \end{chunk} +\index{Ralston, A.} \begin{chunk}{ignore} \bibitem[Ralston 65]{Ral65} Ralston A. ``A First Course in Numerical Analysis'' @@ -11751,6 +13769,7 @@ McGraw-Hill. 87--90. (1965) \end{chunk} +\index{Ramakrishnan, Maya} \begin{chunk}{ignore} \bibitem[Ramakrishnan 03]{Ram03} Ramakrishnan, Maya ``A Gentle Introduction to Lyapunov Functions'' @@ -11759,6 +13778,7 @@ ORSUM August 2003 \end{chunk} +\index{Ramsey, Norman} \begin{chunk}{ignore} \bibitem[Ramsey 03]{Ra03} Ramsey, Norman ``Noweb--A Simple, Extensible Tool for Literate Programming'' @@ -11766,6 +13786,7 @@ ORSUM August 2003 \end{chunk} +\index{Redfield, J.H.} \begin{chunk}{ignore} \bibitem[Redfield 27]{Red27} Redfield, J.H. ``The Theory of Group-Reduced Distributions'' @@ -11773,6 +13794,7 @@ American J. Math., 49 (1927) 433-455. \end{chunk} +\index{Reinsch, C. H.} \begin{chunk}{ignore} \bibitem[Reinsch 67]{Rei67} Reinsch C H. ``Smoothing by Spline Functions'' @@ -11780,6 +13802,7 @@ Num. Math. 10 177--183. (1967) \end{chunk} +\index{Renka, R. L.} \begin{chunk}{ignore} \bibitem[Renka 84]{Ren84} Renka R L. ``Algorithm 624: Triangulation and Interpolation of Arbitrarily Distributed @@ -11788,6 +13811,8 @@ ACM Trans. Math. Softw. 10 440--442. (1984) \end{chunk} +\index{Renka, R. L.} +\index{Cline, A. K.} \begin{chunk}{ignore} \bibitem[Renka 84]{RC84} Renka R L.; Cline A K. ``A Triangle-based C Interpolation Method'' @@ -11795,6 +13820,7 @@ Rocky Mountain J. Math. 14 223--237. (1984) \end{chunk} +\index{Reutenauer, Christophe} \begin{chunk}{ignore} \bibitem[Reutenauer 93]{Re93} Reutenauer, Christophe ``Free Lie Algebras'' @@ -11802,6 +13828,7 @@ Oxford University Press, June 1993 ISBN 0198536798 \end{chunk} +\index{Reznick, Bruce} \begin{chunk}{ignore} \bibitem[Reznick 93]{Rezn93} Reznick, Bruce ``An Inequality for Products of Polynomials'' @@ -11810,6 +13837,8 @@ Proc. AMS Vol 117 No 4 April 1993 \end{chunk} +\index{Rich, Albert D.} +\index{Jeffrey, David J.} \begin{chunk}{ignore} \bibitem[Rich xx]{Rixx} Rich, A.D.; Jeffrey, D.J. ``Crafting a Repository of Knowledge Based on Transformation'' @@ -11829,6 +13858,7 @@ Proc. AMS Vol 117 No 4 April 1993 \end{chunk} +\index{Rich, Albert D.} \begin{chunk}{ignore} \bibitem[Rich 10]{Ri10} Rich, Albert D. ``Rule-based Mathematics'' @@ -11836,6 +13866,8 @@ Proc. AMS Vol 117 No 4 April 1993 \end{chunk} +\index{Richardson, Dan} +\index{Fitch, John P.} \begin{chunk}{ignore} \bibitem[Richardson 94]{RF94} Richardson, Dan; Fitch, John ``The identity problem for elementary functions and constants'' @@ -11843,6 +13875,8 @@ ACM Proc. of ISSAC 94 pp285-290 ISBN 0-89791-638-7 \end{chunk} +\index{Richtmyer, R. D.} +\index{Morton, K. W.} \begin{chunk}{ignore} \bibitem[Richtmyer 67]{RM67} Richtmyer R D.; Morton K W. ``Difference Methods for Initial-value Problems'' @@ -11850,6 +13884,7 @@ Interscience (2nd Edition). (1967) \end{chunk} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Rioboo 92]{REF-Rio92} Rioboo, R. ``Real algebraic closure of an ordered field, implementation in Axiom'' @@ -11859,6 +13894,7 @@ In proceedings of the ISSAC'92 Conference, Berkeley 1992 pp. 206-215. \end{chunk} +\index{Rioboo, Renaud} \begin{chunk}{ignore} \bibitem[Rioboo 96]{Rio96} Rioboo, R. ``Generic computation of the real closure of an ordered field'' @@ -11867,6 +13903,7 @@ November 1996. \end{chunk} +\index{Ritt, Joseph Fels} \begin{chunk}{ignore} \bibitem[Ritt 50]{Ritt50} Ritt, Joseph Fels ``Differential Algebra'' @@ -11874,6 +13911,7 @@ AMS Colloquium Publications Volume 33 ISBN 978-0-8218-4638-4 \end{chunk} +\index{Rote, G\"unter} \begin{chunk}{ignore} \bibitem[Rote 01]{Rote01} Rote, G\"unter ``Division-free algorithms for the determinant and the Pfaffian'' @@ -11882,6 +13920,7 @@ in Computational Discrete Mathematics ISBN 3-540-42775-9 pp119-135 \end{chunk} +\index{Rubey, Martin} \begin{chunk}{ignore} \bibitem[Rubey 07]{Rub07} Rubey, Martin ``Formula Guessing with Axiom'' @@ -11889,6 +13928,7 @@ April 2007 \end{chunk} +\index{Rutishauser, H.} \begin{chunk}{ignore} \bibitem[Rutishauser 69]{Rut69} Rutishauser H. ``Computational aspects of F L Bauer's simultaneous iteration method'' @@ -11896,6 +13936,7 @@ Num. Math. 13 4--13. (1969) \end{chunk} +\index{Rutishauser, H.} \begin{chunk}{ignore} \bibitem[Rutishauser 70]{Rut70} Rutishauser H. ``Simultaneous iteration method for symmetric matrices'' @@ -11905,6 +13946,7 @@ Num. Math. 16 205--223. (1970) \subsection{S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Schafer, R.D.} \begin{chunk}{ignore} \bibitem[Schafer 66]{Sch66} Schafer, R.D. ``An Introduction to Nonassociative Algebras'' @@ -11912,6 +13954,8 @@ Academic Press, New York, 1966 \end{chunk} +\index{Schoenberg, I. J.} +\index{Whitney, A.} \begin{chunk}{ignore} \bibitem[Schoenberg 53]{SW53} Schoenberg I J.; Whitney A. ``On Polya Frequency Functions III'' @@ -11919,6 +13963,7 @@ Trans. Amer. Math. Soc. 74 246--259. (1953) \end{chunk} +\index{Schoenhage, A.} \begin{chunk}{ignore} \bibitem[Schoenhage 82]{Sch82} Schoenhage, A. ``The fundamental theorem of algebra in terms of computational complexity'' @@ -11926,6 +13971,7 @@ preliminary report, Univ. Tuebingen, 1982 \end{chunk} +\index{Schonfelder, J. L.} \begin{chunk}{ignore} \bibitem[Schonfelder 76]{Sch76} Schonfelder J L. ``The Production of Special Function Routines for a Multi-Machine Library'' @@ -11933,6 +13979,7 @@ Software Practice and Experience. 6(1) (1976) \end{chunk} +\index{von Seggern, David Henry} \begin{chunk}{axiom.bib} @book{Segg93, author = "{von Seggern}, David Henry", @@ -11944,6 +13991,8 @@ Software Practice and Experience. 6(1) (1976) \end{chunk} +\index{Seiler, Werner Markus} +\index{Calmet, J.} \begin{chunk}{ignore} \bibitem[Seiler 95a]{Sei95a} Seiler, W.M.; Calmet, J. ``JET -- An Axiom Environment for Geometric Computations with Differential @@ -11952,6 +14001,7 @@ Equations'' \end{chunk} +\index{Shepard, D.} \begin{chunk}{ignore} \bibitem[Shepard 68]{She68} Shepard D. ``A Two-dimensional Interpolation Function for Irregularly Spaced Data'' @@ -11960,6 +14010,7 @@ Princeton. 517--523. 1968 \end{chunk} +\index{Shirayanagi, Kiyoshi} \begin{chunk}{ignore} \bibitem[Shirayanagi 96]{Shir96} Shirayanagi, Kiyoshi ``Floating point Gr\"obner bases'' @@ -11982,6 +14033,7 @@ Mathematics and Computers in Simulation 42 pp 509-528 (1996) \end{chunk} +\index{Sims, Charles} \begin{chunk}{ignore} \bibitem[Sims 71]{Sims71} Sims, C. ``Determining the Conjugacy Classes of a Permutation Group'' @@ -11990,6 +14042,7 @@ American Math. Soc., 1991, pp191-195 \end{chunk} +\index{Singer, Michael F.} \begin{chunk}{ignore} \bibitem[Singer 89]{Sing89} Singer, M.F. ``Formal Solutions of Differential Equations'' @@ -12005,6 +14058,7 @@ J. Symbolic COmputation 10, No.1 59-94 (1990) \end{chunk} +\index{Sit, William Y.} \begin{chunk}{ignore} \bibitem[Sit 92]{REF-Sit92} Sit, William ``An Algorithm for Parametric Linear Systems'' @@ -12012,6 +14066,7 @@ J. Sym. Comp., April 1992 \end{chunk} +\index{Smith, B. T.} \begin{chunk}{ignore} \bibitem[Smith 67]{Smi67} Smith B T. ``ZERPOL: A Zero Finding Algorithm for Polynomials Using Laguerre's Method'' @@ -12020,6 +14075,7 @@ Canada. (1967) \end{chunk} +\index{Smith, G. D.} \begin{chunk}{ignore} \bibitem[Smith 85]{Smi85} Smith G D. ``Numerical Solution of Partial Differential Equations: Finite Difference @@ -12028,6 +14084,7 @@ Oxford University Press (3rd Edition). (1985) \end{chunk} +\index{Sobol, I. M.} \begin{chunk}{ignore} \bibitem[Sobol 74]{Sob74} Sobol I M. ``The Monte Carlo Method'' @@ -12035,6 +14092,7 @@ The University of Chicago Press. 1974 \end{chunk} +\index{Steele, Guy L.} \begin{chunk}{ignore} \bibitem[Steele 90]{Ste90} Steele, Guy L. ``Common Lisp The Language'' @@ -12042,6 +14100,7 @@ Second Edition ISBN 1-55558-041-6 Digital Press (1990) \end{chunk} +\index{Stichtenoth, H.} \begin{chunk}{axiom.bib} @misc{Stic93, author = "Stichtenoth, H.", @@ -12052,6 +14111,7 @@ Second Edition ISBN 1-55558-041-6 Digital Press (1990) \end{chunk} +\index{Stinson, D.R.} \begin{chunk}{ignore} \bibitem[Stinson 90]{Stin90} Stinson, D.R. ``Some observations on parallel Algorithms for fast exponentiation @@ -12068,6 +14128,8 @@ Siam J. Comp., Vol.19, No.4, pp.711-717, August 1990 \end{chunk} +\index{Stroud, A. H.} +\index{Secrest, D.} \begin{chunk}{ignore} \bibitem[Stroud 66]{SS66} Stroud A H.; Secrest D. ``Gaussian Quadrature Formulas'' @@ -12075,6 +14137,7 @@ Prentice-Hall. (1966) \end{chunk} +\index{Stroud, A. H.} \begin{chunk}{ignore} \bibitem[Stroud 71]{Str71} Stroud A H. ``Approximate Calculation of Multiple Integrals'' @@ -12082,6 +14145,8 @@ Prentice-Hall 1971 \end{chunk} +\index{Swarztrauber, P. N.} +\index{Sweet, R. A.} \begin{chunk}{ignore} \bibitem[Swarztrauber 79]{SS79} Swarztrauber P N.; Sweet R A. ``Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial @@ -12090,6 +14155,7 @@ ACM Trans. Math. Softw. 5 352--364. (1979) \end{chunk} +\index{Swarztrauber, P. N.} \begin{chunk}{ignore} \bibitem[Swarztrauber 84]{SS84} Swarztrauber P N. ``Fast Poisson Solvers'' @@ -12100,6 +14166,7 @@ Mathematical Association of America. (1984) \subsection{T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Tait, P.G.} \begin{chunk}{axiom.bib} @book{Tait1890, author = "Tait, P.G.", @@ -12111,6 +14178,7 @@ Mathematical Association of America. (1984) \end{chunk} +\index{Taivalsaari, Antero} \begin{chunk}{ignore} \bibitem[Taivalsaari 96]{Tai96} Taivalsaari, Antero ``On the Notion of Inheritance'' @@ -12118,6 +14186,7 @@ ACM Computing Surveys, Vol 28 No 3 Sept 1996 pp438-479 \end{chunk} +\index{Temme, N. M.} \begin{chunk}{ignore} \bibitem[Temme 87]{Tem87} Temme N M. ``On the Computation of the Incomplete Gamma Functions for Large Values of @@ -12127,6 +14196,7 @@ Oxford University Press. (1987) \end{chunk} +\index{Temperton, C.} \begin{chunk}{ignore} \bibitem[Temperton 83a]{Tem83a} Temperton C. ``Self-sorting Mixed-radix Fast Fourier Transforms'' @@ -12134,6 +14204,7 @@ J. Comput. Phys. 52 1--23. (1983) \end{chunk} +\index{Temperton, C.} \begin{chunk}{ignore} \bibitem[Temperton 83b]{Tem83b} Temperton C. ``Fast Mixed-Radix Real Fourier Transforms'' @@ -12141,6 +14212,7 @@ J. Comput. Phys. 52 340--350. (1983) \end{chunk} +\index{Thurston, William P.} \begin{chunk}{axiom.bib} @article{Thur94, author = "Thurston, William P.", @@ -12168,6 +14240,8 @@ Chapter 8. NPL Notes on Applied Science (2nd Edition). 16 HMSO. 1961 \subsection{V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Van Dooren, P.} +\index{De Ridder, L.} \begin{chunk}{ignore} \bibitem[Van Dooren 76]{vDDR76} Van Dooren P.; De Ridder L. ``An Adaptive Algorithm for Numerical Integration over an N-dimensional @@ -12176,6 +14250,7 @@ J. Comput. Appl. Math. 2 207--217. (1976) \end{chunk} +\index{van Hoeij, Mark} \begin{chunk}{ignore} \bibitem[van Hoeij 94]{REF-vH94} van Hoeij, M. ``An algorithm for computing an integral @@ -12185,6 +14260,7 @@ basis in an algebraic function field'' \end{chunk} +\index{Van Loan, C.} \begin{chunk}{ignore} \bibitem[Van Loan 92]{Van92} Van Loan, C. ``Computational Frameworks for the Fast Fourier Transform'' @@ -12194,6 +14270,8 @@ SIAM Philadelphia. (1992) \subsection{W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Wait, R.} +\index{Mitchell, A. R.} \begin{chunk}{ignore} \bibitem[Wait 85]{WM85} Wait R.; Mitchell A R. ``Finite Element Analysis and Application'' @@ -12201,6 +14279,7 @@ Wiley. (1985) \end{chunk} +\index{Wang, Dongming} \begin{chunk}{ignore} \bibitem[Wang 92]{Wang92} Wang, D.M. ``An implementation of the characteristic set method in Maple'' @@ -12208,6 +14287,7 @@ Proc. DISCO'92 Bath, England \end{chunk} +\index{Ward, R. C.} \begin{chunk}{ignore} \bibitem[Ward 75]{War75} Ward, R C. ``The Combination Shift QZ Algorithm'' @@ -12215,6 +14295,7 @@ SIAM J. Numer. Anal. 12 835--853. 1975 \end{chunk} +\index{Watt, Stephen M.} \begin{chunk}{axiom.bib} @misc{Watt03, author = "Watt, Stephen", @@ -12225,6 +14306,7 @@ SIAM J. Numer. Anal. 12 835--853. 1975 \end{chunk} +\index{Weil, Andr\'{e}} \begin{chunk}{axiom.bib} @misc{Weil71, author = "Weil, Andr\'{e}", @@ -12234,6 +14316,7 @@ SIAM J. Numer. Anal. 12 835--853. 1975 \end{chunk} +\index{Weisstein, Eric W.} \begin{chunk}{ignore} \bibitem[Weisstein]{Wein} Weisstein, Eric W. ``Hypergeometric Function'' @@ -12242,6 +14325,7 @@ MathWorld - A Wolfram Web Resource \end{chunk} +\index{Weitz, E.} \begin{chunk}{axiom.bib} @misc{Weit03, author = "Weitz, E.", @@ -12252,6 +14336,7 @@ MathWorld - A Wolfram Web Resource \end{chunk} +\index{Weitz, E.} \begin{chunk}{axiom.bib} @misc{Weit06, author = "Weitz, E.", @@ -12262,6 +14347,7 @@ MathWorld - A Wolfram Web Resource \end{chunk} +\index{Wesseling, P.} \begin{chunk}{ignore} \bibitem[Wesseling 82a]{Wes82a} Wesseling, P. ``MGD1 - A Robust and Efficient Multigrid Method'' @@ -12270,6 +14356,7 @@ Springer-Verlag. 614--630. (1982) \end{chunk} +\index{Wesseling, P.} \begin{chunk}{ignore} \bibitem[Wesseling 82b]{Wes82b} Wesseling, P. ``Theoretical Aspects of a Multigrid Method'' @@ -12277,6 +14364,9 @@ SIAM J. Sci. Statist. Comput. 3 387--407. (1982) \end{chunk} +\index{Wicks, Mark} +\index{Carlisle, David} +\index{Rahtz, Sebastian} \begin{chunk}{ignore} \bibitem[Wicks 89]{Wic89} Wicks, Mark; Carlisle, David, Rahtz, Sebastian ``dvipdfm.def'' @@ -12309,6 +14399,7 @@ SIAM J. Sci. Statist. Comput. 3 387--407. (1982) \end{chunk} +\index{Williamson, S.G.} \begin{chunk}{ignore} \bibitem[Williamson 85]{Wil85} Williamson, S.G. ``Combinatorics for Computer Science'' @@ -12316,6 +14407,8 @@ Computer Science Press, 1985. \end{chunk} +\index{Wilkinson, J. H.} +\index{Reinsch, C.} \begin{chunk}{ignore} \bibitem[Wilkinson 71]{WR71} Wilkinson J H.; Reinsch C. ``Handbook for Automatic Computation II, Linear Algebra'' @@ -12323,6 +14416,7 @@ Springer-Verlag. 1971 \end{chunk} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Wilkinson 63]{Wil63} Wilkinson J H. ``Rounding Errors in Algebraic Processes'' @@ -12330,6 +14424,7 @@ Springer-Verlag. 1971 \end{chunk} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Wilkinson 65]{Wil65} Wilkinson J H. ``The Algebraic Eigenvalue Problem'' @@ -12337,6 +14432,7 @@ Springer-Verlag. 1971 \end{chunk} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Wilkinson 78]{Wil78} Wilkinson J H. ``Singular Value Decomposition -- Basic Aspects'' @@ -12345,6 +14441,7 @@ Numerical Software -- Needs and Availability. \end{chunk} +\index{Wilkinson, J. H.} \begin{chunk}{ignore} \bibitem[Wilkinson 79]{Wil79} Wilkinson J H. ``Kronecker's Canonical Form and the QZ Algorithm'' @@ -12352,6 +14449,7 @@ Linear Algebra and Appl. 28 285--303. 1979 \end{chunk} +\index{Wisbauer, R.} \begin{chunk}{ignore} \bibitem[Wisbauer 91]{Wis91} Wisbauer, R. ``Bimodule Structure of Algebra'' @@ -12359,6 +14457,7 @@ Lecture Notes Univ. Duesseldorf 1991 \end{chunk} +\index{Woerz-Busekros, A.} \begin{chunk}{ignore} \bibitem[Woerz-Busekros 80]{Woe80} Woerz-Busekros, A. ``Algebra in Genetics'' @@ -12366,6 +14465,7 @@ Lectures Notes in Biomathematics 36, Springer-Verlag, Heidelberg, 1980 \end{chunk} +\index{Wolberg, J. R.} \begin{chunk}{ignore} \bibitem[Wolberg 67]{Wol67} Wolberg J R. ``Prediction Analysis'' @@ -12379,6 +14479,7 @@ Van Nostrand. (1967) \end{chunk} +\index{Wu, W.T.} \begin{chunk}{ignore} \bibitem[Wu 87]{WU87} Wu, W.T. ``A Zero Structure Theorem for polynomial equations solving'' @@ -12386,6 +14487,7 @@ MM Research Preprints, 1987 \end{chunk} +\index{Wynn, P.} \begin{chunk}{ignore} \bibitem[Wynn 56]{Wynn56} Wynn P. ``On a Device for Computing the $e_m(S_n )$ Transformation'' @@ -12397,6 +14499,7 @@ Math. Tables Aids Comput. 10 91--96. (1956) \subsection{Z} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\index{Zakrajsek, Helena} \begin{chunk}{ignore} \bibitem[Zakrajsek 02]{Zak02} Zakrajsek, Helena ``Applications of Hermite transform in computer algebra'' @@ -12415,6 +14518,8 @@ Math. Tables Aids Comput. 10 91--96. (1956) \end{chunk} +\index{Zdancewic, Steve} +\index{Martin, Milo M.K.} \begin{chunk}{axiom.bib} @misc{Zdan14, author = "Zdancewic, Steve and Martin, Milo M.K.", @@ -12424,6 +14529,7 @@ Math. Tables Aids Comput. 10 91--96. (1956) \end{chunk} +\index{Zhi, Lihong} \begin{chunk}{ignore} \bibitem[Zhi 97]{Zhi97} Zhi, Lihong ``Optimal Algorithm for Algebraic Factoring'' diff --git a/changelog b/changelog index 0dac261..b824e95 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,5 @@ +20140923 tpd src/axiom-website/patches.html 20140923.01.tpd.patch +20140923 tpd books/bookvolbib add authors to index 20140920 tpd src/axiom-website/patches.html 20140920.02.tpd.patch 20140920 tpd books/bookvolbib add abstracts, rearrange, add new sections 20140920 tpd src/axiom-website/patches.html 20140920.01.tpd.patch diff --git a/patch b/patch index 73fef81..7bb53e1 100644 --- a/patch +++ b/patch @@ -1,3 +1,3 @@ -books/bookvolbib add abstracts, rearrange, add new sections +books/bookvolbib add authors to index -Expand and cleanup bibliography +Add authors to the index diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 6c4d579..08b5e23 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -4650,6 +4650,8 @@ books/axiom.bst use axiom specific bib style
books/bookvolbib add abstracts, rearrange, add new entries
20140920.02.tpd.patch books/bookvolbib add abstracts, rearrange, add new sections
+20140923.01.tpd.patch +books/bookvolbib add authors to index