Numerical Linear Algebra Algorithms On Vector And Parallel Computers
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Numerical Linear Algebra Algorithms On Vector And Parallel Computers
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Author : Lars Eldén
language : en
Publisher:
Release Date : 1993
Numerical Linear Algebra Algorithms On Vector And Parallel Computers written by Lars Eldén 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 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 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.
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.
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.
Parallel Numerical Algorithms
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Author : David E. Keyes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Parallel Numerical Algorithms written by David E. Keyes 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 Mathematics categories.
In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.
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.
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.
Advances In Parallel Algorithms
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Author : Ivan Dimov
language : en
Publisher: IOS Press
Release Date : 1994
Advances In Parallel Algorithms written by Ivan Dimov and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
This text presents an overview of research in the subjects of computational linear algebra, Monte Carlo algorithms and parallel algorithms in discrete mathematics. Topics covered include theoretical investigations of numerical analysis and parallel algorithms, and practical large-scale problem solving such as modelling of semiconductor devices, ballistic trajectory estimations and the simulation of distributed memory parallel computers.
Solution Of Partial Differential Equations On Vector And Parallel Computers
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Author : James M. Ortega
language : en
Publisher: SIAM
Release Date : 1985-09-01
Solution Of Partial Differential Equations On Vector And Parallel Computers written by James M. Ortega and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-09-01 with Mathematics categories.
Mathematics of Computing -- Parallelism.