Computer algebra and parallelism, Volume 1

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J. Della Dora, John Fitch
Academic Press, 1989 - Algebra - 256 pages
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This volume asssembles papers describing the present state of development of practical parallelism for computer algebra. Subjects covered include vectorization, loosely couple systems and a variety of algorithmic developments and software tools, with an emphasis on finding solutions to real problems and producing usable algebra systems.

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Contents

Preface v
1
Compiling for parallelism J Fitch
19
ThePACproject J L Roch
33
Evaluation of Performance Enhancements in algebraic manipulation systems C G Ponder
51
Implementation of the LISP arbitrary precision arithmetic for a vector processor W NeunandH Melenk
75
Automatic generation of parallel code for the warp computer T B TanandP S Wang
91
Automatic code vectorization of arithmetic expressions by bottom up structure recognition V V Goldman and J A van Hulzen
119
Factorization in a functional language A C Norman and J Mitchell
133
Implementation of a parallel algorithm to compute a Grobner basis on boolean polynomials P Senechaud
159
Adaptation of SAC1 algorithms for an SIMD machine D Weeks
167
Some issues in designing algebraic algorithms for the CRAYXMP J R Johnson
179
Exact parallel solution of linear systems G Villard
197
Solving linear diophantine equations in parallel F SiebertRoch
207
Parallel algorithm development S Seitz
223
VLSI manipulation of polynomials
233
F SiebertRoch and J M Muller 233
250

Parallel polynomial operators in the large Buchberger algorithm H Melenk and W Neun
143
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About the author (1989)

John Fitch was the judge advocate of the Army of the Cumberland, who wrote the work as a memorial to the Army of the Cumberland. The book was so popular it required five editions.

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