Parallel Numerical Linear Algebra

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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.

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.

Numerical Linear Algebra Digital Signal Processing And Parallel Algorithms

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Author : Gene H. Golub
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Numerical Linear Algebra Digital Signal Processing And Parallel Algorithms written by Gene H. Golub 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 2012-12-06 with Computers categories.

Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.

Parallel Numerical Linear Algebra

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Author : James W. Demmel
language : en
Publisher:
Release Date : 1993

Parallel Numerical Linear Algebra written by James W. Demmel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Algebras, Linear categories.

Parallel Algorithms For Matrix Computations

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Author : K. Gallivan
language : en
Publisher: SIAM
Release Date : 1990-01-01

Parallel Algorithms For Matrix Computations written by K. Gallivan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.

Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.

Lapack Working Note 60

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Author : James W. Demmel
language : en
Publisher:
Release Date : 1993

Lapack Working Note 60 written by James W. Demmel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Algebras, Linear categories.

Abstract: "We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illustrate these principles using current architectures and software systems, and by showing how one would implement matrix multiplication. Then, we present direct and iterative algorithms for solving linear systems of equations, linear least squares problems, the symmetric eigenvalue problem, the nonsymmetric eigenvalue problem, and the singular value decomposition. We consider dense, band and sparse matrices."

A Theoretical And Empirical Study Of Parallel Numerical Linear Algebra Algorithms

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Author : J. S. Jan
language : en
Publisher:
Release Date : 1996

A Theoretical And Empirical Study Of Parallel Numerical Linear Algebra Algorithms written by J. S. Jan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Numerical Linear Algebra On High Performance Computers

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Author : Jack J. Dongarra
language : en
Publisher: SIAM
Release Date : 1998-01-01

Numerical Linear Algebra On High Performance Computers written by Jack J. Dongarra and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Computers categories.

Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.

Oracle Computations In Parallel Numerical Linear Algebra

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Author : International Computer Science Institute
language : en
Publisher:
Release Date : 1991

Oracle Computations In Parallel Numerical Linear Algebra written by International Computer Science Institute and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computational complexity categories.

Abstract: "In this paper we address the notion of reducibility among linear algebra problems within a parallel computing environment. We prove that, though many such problems have been shown to be NC1-equivalent, when approximation is taken into account new questions about their relative complexity come up. We introduce a computation model, based on arithmetic circuits, and define a new notion of reducibility that allows to investigate, in an approximate setting, the behaviour of the known reductions. Within this framework, the computation of the determinant appears more general than, e.g., matrix inversion, and it is set as an open problem whether the former can be reduced to the latter under both time and accuracy constraints."

Special Issue On Parallel Algorithms For Numerical Linear Algebra

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Author :
language : en
Publisher:
Release Date : 1989

Special Issue On Parallel Algorithms For Numerical Linear Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Algebras, Linear categories.