Computer Algebra and Parallelism: Second International Workshop, Ithaca, USA, May 9-11, 1990. Proceedings: 584 - Brossura

Zippel, Richard E.

 
9783540553281: Computer Algebra and Parallelism: Second International Workshop, Ithaca, USA, May 9-11, 1990. Proceedings: 584

Sinossi

This book contains papers presented at a workshop on the useof parallel techniques in symbolic and algebraic computationheld at Cornell University in May 1990. The eight papers inthe book fall into three groups.The first three papers discuss particular programmingsubstrates for parallel symbolic computation, especially fordistributed memory machines. The next three papers discussnovel ways of computing with elements of finite fields andwith algebraic numbers. The finite field technique isespecially interesting since it uses the Connection Machine,a SIMD machine, to achievesurprising amounts ofparallelism. One of the parallel computing substrates isalso used to implement a real root isolation technique.One of the crucial algorithms in modern algebraiccomputation is computing the standard, or Gr|bner, basis ofan ideal. The final two papers discuss two differentapproaches to speeding their computation. One uses vectorprocessing on the Cray and achieves significant speed-ups.The other uses a distributed memory multiprocessor andeffectively explores the trade-offs involved with differentinterconnect topologies of the multiprocessors.

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Contenuti

The S-threads environment for parallel symbolic computation.- Algebraic computing on a local net.- An environment for parallel algebraic computation.- Finite field arithmetic using the connection machine.- Embarrassingly parallel algorithms for algebraic number arithmetic — and some less trivial issues.- Parallel real root isolation using the coefficient sign variation method.- Very large Gröbner basis calculations.- Boolean Gröbner bases and their MIMD implementation.

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Altre edizioni note dello stesso titolo

9780387553283: Computer Algebra and Parallelism: Second International Workshop Ithaca, Usa, May 9-11, 1990 Proceedings

Edizione in evidenza

ISBN 10:  0387553282 ISBN 13:  9780387553283
Casa editrice: Springer Verlag, 1992
Brossura