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Titlebook: Computer Algebra and Parallelism; Second International Richard E. Zippel Conference proceedings 1992 Springer-Verlag Berlin Heidelberg 1992

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書目名稱Computer Algebra and Parallelism
副標題Second International
編輯Richard E. Zippel
視頻videohttp://file.papertrans.cn/234/233403/233403.mp4
叢書名稱Lecture Notes in Computer Science
圖書封面Titlebook: Computer Algebra and Parallelism; Second International Richard E. Zippel Conference proceedings 1992 Springer-Verlag Berlin Heidelberg 1992
描述This book contains papers presented at a workshop on the useof paralleltechniques 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 nextthree papers discussnovel ways of computing with elements of finite fields andwith algebraic numbers. The finite field technique isespeciallyinteresting 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 usesvectorprocessing 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.
出版日期Conference proceedings 1992
關鍵詞Algbraische Umformung; Algebraic Manipulation; Gr?bner Bases; Gr?bner-Basen; Parallelism; Symbolic Comput
版次1
doihttps://doi.org/10.1007/3-540-55328-2
isbn_softcover978-3-540-55328-1
isbn_ebook978-3-540-47026-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 1992
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,Boolean Gr?bner bases and their MIMD implementation,FPS 140) gives experimental results obtained with boolean polynomials..The algorithms were implemented on the FPS T40 connected as a ring and as a hypercube of processors. The first implementation shows the interest of the parallelization. The second one, based on a divide and conquer strategy, has
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Effects of Component Interaction,o calculated in parallel) are used to deal with common symmetries arising in the calculations. The techniques are illustrated by calculations to determine the number of rational points of a polynomial surface over several fields, quantities which are useful in analyzing certain cyclic codes.
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