computation
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11: 35.10 Methods of Computation
§35.10 Methods of Computation
… ►See Yan (1992) for the and functions of matrix argument in the case , and Bingham et al. (1992) for Monte Carlo simulation on applied to a generalization of the integral (35.5.8). ►Koev and Edelman (2006) utilizes combinatorial identities for the zonal polynomials to develop computational algorithms for approximating the series expansion (35.8.1). …12: 18.40 Methods of Computation
§18.40 Methods of Computation
►Orthogonal polynomials can be computed from their explicit polynomial form by Horner’s scheme (§1.11(i)). … ►However, for applications in which the OP’s appear only as terms in series expansions (compare §18.18(i)) the need to compute them can be avoided altogether by use instead of Clenshaw’s algorithm (§3.11(ii)) and its straightforward generalization to OP’s other than Chebyshev. …13: 32.17 Methods of Computation
§32.17 Methods of Computation
…14: Joyce E. Conlon
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►She occupied various positions providing support for high performance scientific computing.
In 1999 she joined the NIST Mathematical and Computational Sciences Division, where she contributed to the DLMF project, especially in the construction of the bibliography.
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►From 1980–85 she worked as a computer programmer for the Defense Mapping Agency.
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15: Stephen M. Watt
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►Cheriton School of Computer Science at the University of Waterloo.
His areas of research include algorithms and systems for computer algebra, programming languages and compilers, mathematical handwriting recognition and mathematical document analysis.
He was one of the original authors of the Maple and Axiom computer algebra systems, principal architect of the Aldor programming language and its compiler at IBM Research, and co-author of the MathML and InkML W3C standards.
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16: 14.32 Methods of Computation
§14.32 Methods of Computation
►Essentially the same comments that are made in §15.19 concerning the computation of hypergeometric functions apply to the functions described in the present chapter. … ►17: Peter Paule
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► 1958 in Ried im Innkreis, Austria) is Professor of Mathematics (successor to Bruno Buchberger), Director of the Research Institute for Symbolic Computation (RISC), and Director of the Doctoral Program on Computational Mathematics at the Johannes Kepler University, Linz, Austria.
►Paule’s main research interests are computer algebra and algorithmic mathematics, together with connections to combinatorics, special functions, number theory, and other related fields.
He is on the editorial boards for the Journal of Symbolic Computation and The Ramanujan Journal, and is Managing Editor of Annals of Combinatorics.
He is also Editor-in-Chief of the Springer book series Texts and Monographs in
Symbolic Computation.
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18: 9.17 Methods of Computation
§9.17 Methods of Computation
… ►The former reference includes a parallelized version of the method. … ►§9.17(v) Zeros
… ►See also Fabijonas et al. (2004). ►For the computation of the zeros of the Scorer functions and their derivatives see Gil et al. (2003c).19: Ronald F. Boisvert
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► 1951 in Manchester, New Hampshire) leads the Applied and Computational Mathematics Division of the NIST Information Technology Laboratory.
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►in computer science from Purdue University in 1979 and has been at NIST since then.
His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science.
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►He is currently cochair of the Publications Board of the Association for Computing Machinery (ACM), and Chair of the International Federation for Information Processing (IFIP) Working Group 2.
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20: Bruce R. Miller
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► 1953 in Houston, Texas) is on the staff of the Applied and Computational Mathematics Division of the Information Technology Laboratory in the National Institute of Standards and Technology.
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►While developing the supporting theories, he discovered a passion for symbolic computation and computer algebra.
…There, he carried out research in non-linear dynamics and celestial mechanics, developing a specialized computer algebra system for high-order Lie transformations.
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