Parallel Numerical Linear Algebra

Author : J. J. Dongarra,Erricos John Kontoghiorghes
Publisher : Nova Science Publishers
Page : 142 pages
File Size : 52,7 Mb
Release : 2001
Category : Computers
ISBN : UVA:X004588337

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Parallel Numerical Linear Algebra by J. J. Dongarra,Erricos John Kontoghiorghes Pdf

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.

Author : H. van der Vorst,P. van Dooren
Publisher : Elsevier
Page : 338 pages
File Size : 54,6 Mb
Release : 2014-06-28
Category : Computers
ISBN : 9781483295732

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Parallel Algorithms for Numerical Linear Algebra by H. van der Vorst,P. van Dooren Pdf

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.

Author : Gene H. Golub,Paul Van Dooren
Publisher : Springer Science & Business Media
Page : 717 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642755361

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Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms by Gene H. Golub,Paul Van Dooren Pdf

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.

Author : K. Gallivan,M. Heath,E. Ng,B. Peyton,R. Plemmons,J. Ortega,C. Romine,A. Sameh,R. Voigt
Publisher : SIAM
Page : 207 pages
File Size : 54,9 Mb
Release : 1990-01-01
Category : Mathematics
ISBN : 1611971705

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Parallel Algorithms for Matrix Computations by K. Gallivan,M. Heath,E. Ng,B. Peyton,R. Plemmons,J. Ortega,C. Romine,A. Sameh,R. Voigt Pdf

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.

Author : Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst
Publisher : SIAM
Page : 353 pages
File Size : 49,5 Mb
Release : 1998-01-01
Category : Computers
ISBN : 9780898714289

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Numerical Linear Algebra on High-Performance Computers by Jack J. Dongarra,Iain S. Duff,Danny C. Sorensen,Henk A. van der Vorst Pdf

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

Author : David E. Keyes,Ahmed Sameh,V. Venkatakrishnan
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401154123

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Parallel Numerical Algorithms by David E. Keyes,Ahmed Sameh,V. Venkatakrishnan Pdf

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.

Author : Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh
Publisher : Springer
Page : 489 pages
File Size : 44,5 Mb
Release : 2015-07-25
Category : Technology & Engineering
ISBN : 9789401771887

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Parallelism in Matrix Computations by Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh Pdf

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.

Author : T. Len Freeman,Chris Phillips
Publisher : Unknown
Page : 336 pages
File Size : 46,9 Mb
Release : 1992
Category : Computers
ISBN : UOM:39015025201404

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Parallel Numerical Algorithms by T. Len Freeman,Chris Phillips Pdf

Mathematics of Computing -- Parallelism.

Author : Lars Eldén,Haesun Park
Publisher : Unknown
Page : 104 pages
File Size : 44,6 Mb
Release : 1993
Category : Algebras, Linear
ISBN : UOM:39015037459958

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Numerical Linear Algebra Algorithms on Vector and Parallel Computers by Lars Eldén,Haesun Park Pdf

Author : Erricos Kontoghiorghes
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461545712

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Parallel Algorithms for Linear Models by Erricos Kontoghiorghes Pdf

Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Author : Erricos Kontoghiorghes
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 48,8 Mb
Release : 2000-01-31
Category : Business & Economics
ISBN : 0792377206

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Parallel Algorithms for Linear Models by Erricos Kontoghiorghes Pdf

Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Author : Bruno Codenotti,Mauro Leoncini
Publisher : World Scientific
Page : 234 pages
File Size : 51,9 Mb
Release : 1991
Category : Computers
ISBN : 9810205031

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Parallel Complexity of Linear System Solution by Bruno Codenotti,Mauro Leoncini Pdf

This book presents the most important parallel algorithms for the solution of linear systems. Despite the evolution and significance of the field of parallel solution of linear systems, no book is completely dedicated to the subject. People interested in the themes covered by this book belong to two different groups: numerical linear algebra and theoretical computer science, and this is the first effort to produce a useful tool for both. The book is organized as follows: after introducing the general features of parallel algorithms and the most important models of parallel computation, the authors analyze the complexity of solving linear systems in the circuit, PRAM, distributed, and VLSI models. The approach covers both the general case (i.e. dense linear systems without structure) and many important special cases (i.e. banded, sparse, Toeplitz, circulant linear systems).

Author : Ivan Dimov,O. Tonev
Publisher : IOS Press
Page : 216 pages
File Size : 41,9 Mb
Release : 1994
Category : Computers
ISBN : 9051991517

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Advances in Parallel Algorithms by Ivan Dimov,O. Tonev Pdf

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.

Author : Jagdish J. Modi
Publisher : Oxford University Press, USA
Page : 260 pages
File Size : 50,6 Mb
Release : 1988
Category : Family & Relationships
ISBN : 0198596707

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Parallel Algorithms and Matrix Computation by Jagdish J. Modi Pdf

One of the first textbooks on the topic, this book brings together and further articulates the fundamental concepts in parallel computing. It covers the application of parallel algorithms to numerical linear algebra, with an emphasis on the design and analysis of algorithms that are of particular importance in both industrial and academic research. The first part is devoted to a discussion of the general principles and techniques involved, and is illustrated by numerous examples. Dr. Modi goes on to describe some key areas of application, such as sorting, linear systems, partial differential equations, singular-value decomposition, and eigenvalue analysis. Based on a lecture course at the University of Cambridge, the text will appeal to those with an interest in the design and implementations of algorithms in parallel computing.

Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 43,9 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9780898713893

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Applied Numerical Linear Algebra by James W. Demmel Pdf

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.