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Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Author : Jean Della Dora
language : en
Publisher:
Release Date : 1989

Computer Algebra And Parallelism written by Jean Della Dora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Algebra categories.


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.



Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Author : Richard E. Zippel
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-03-25

Computer Algebra And Parallelism written by Richard E. Zippel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-25 with Computers categories.


This book contains papers presented at a workshop on the use of parallel techniques in symbolic and algebraic computation held at Cornell University in May 1990. The eight papers in the book fall into three groups. The first three papers discuss particular programming substrates for parallel symbolic computation, especially for distributed memory machines. The next three papers discuss novel ways of computing with elements of finite fields and with algebraic numbers. The finite field technique is especially interesting since it uses the Connection Machine, a SIMD machine, to achievesurprising amounts of parallelism. One of the parallel computing substrates is also used to implement a real root isolation technique. One of the crucial algorithms in modern algebraic computation is computing the standard, or Gr|bner, basis of an ideal. The final two papers discuss two different approaches to speeding their computation. One uses vector processing on the Cray and achieves significant speed-ups. The other uses a distributed memory multiprocessor and effectively explores the trade-offs involved with different interconnect topologies of the multiprocessors.



Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Author : Richard E. Zippel
language : en
Publisher:
Release Date : 2014-01-15

Computer Algebra And Parallelism written by Richard E. Zippel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Author : Richard E. Zippel
language : en
Publisher: Springer
Release Date : 1992-03-25

Computer Algebra And Parallelism written by Richard E. Zippel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-25 with Computers categories.


This book contains papers presented at a workshop on the use of parallel techniques in symbolic and algebraic computation held at Cornell University in May 1990. The eight papers in the book fall into three groups. The first three papers discuss particular programming substrates for parallel symbolic computation, especially for distributed memory machines. The next three papers discuss novel ways of computing with elements of finite fields and with algebraic numbers. The finite field technique is especially interesting since it uses the Connection Machine, a SIMD machine, to achievesurprising amounts of parallelism. One of the parallel computing substrates is also used to implement a real root isolation technique. One of the crucial algorithms in modern algebraic computation is computing the standard, or Gr|bner, basis of an ideal. The final two papers discuss two different approaches to speeding their computation. One uses vector processing on the Cray and achieves significant speed-ups. The other uses a distributed memory multiprocessor and effectively explores the trade-offs involved with different interconnect topologies of the multiprocessors.



Computer Algebra And Parallelism


Computer Algebra And Parallelism
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Author : Richard E. Zippel
language : en
Publisher:
Release Date : 1992

Computer Algebra And Parallelism written by Richard E. Zippel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebra categories.




Bounded Parallelism In Computer Algebra


Bounded Parallelism In Computer Algebra
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Author : University of Waterloo. Dept. of Computer Science
language : en
Publisher:
Release Date : 1986

Bounded Parallelism In Computer Algebra written by University of Waterloo. Dept. of Computer Science and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Parallel processing (Electronic computers) categories.




Parallelism In Matrix Computations


Parallelism In Matrix Computations
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Author : Efstratios Gallopoulos
language : en
Publisher: Springer
Release Date : 2015-07-25

Parallelism In Matrix Computations written by Efstratios Gallopoulos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-25 with Technology & Engineering categories.


This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations. It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms. The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded ,Vandermonde ,Toeplitz ,and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike. The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.



Process Algebra For Parallel And Distributed Processing


Process Algebra For Parallel And Distributed Processing
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Author : Michael Alexander
language : en
Publisher: CRC Press
Release Date : 2008-12-22

Process Algebra For Parallel And Distributed Processing written by Michael Alexander and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-22 with Mathematics categories.


Collects the Latest Research Involving the Application of Process Algebra to ComputingExploring state-of-the-art applications, Process Algebra for Parallel and Distributed Processing shows how one formal method of reasoning-process algebra-has become a powerful tool for solving design and implementation challenges of concurrent systems. Parallel Pr



Parallel Algorithms For Numerical Linear Algebra


Parallel Algorithms For Numerical Linear Algebra
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Author : H. van der Vorst
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Parallel Algorithms For Numerical Linear Algebra written by H. van der Vorst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Computers categories.


This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.All aspects of high-speed computing fall within the scope of the series, e.g. algorithm design, applications, software engineering, networking, taxonomy, models and architectural trends, performance, peripheral devices.Papers in Volume One cover the main streams of parallel linear algebra: systolic array algorithms, message-passing systems, algorithms for parallel shared-memory systems, and the design of fast algorithms and implementations for vector supercomputers.



Parallel Numerical Linear Algebra


Parallel Numerical Linear Algebra
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Author : J. J. Dongarra
language : en
Publisher: Nova Science Publishers
Release Date : 2001

Parallel Numerical Linear Algebra written by J. J. Dongarra and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.


Contents: A Java-Based Distributed Debugger Supporting MPI and PVM; On Encoding Neural Networks to Estimate the Atmospheric Point Spread Function in a Parallel Environment; A Comparison of Parallel Solvers for Diagonally Dominant and General Narrow-Banded Linear Systems; Mapping Strategies in Data Parallel Programming Models; the Projection Methods; Parallel Multiplication of a Vector by a Kronecker Product of Matrices; Parallel Sparse Matrix Algorithms for Air Pollution Models; Band Preconditioners -- Application to Preconditioned Conjugate Gradient Methods on Parallel Computers.