Numerical Linear Algebra Algorithms On Vector And Parallel Computers

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Parallel Algorithms for Numerical Linear Algebra

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Author : H. van der Vorst
Publisher : Elsevier
ISBN 13 : 1483295737
Total Pages : 338 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Parallel Algorithms for Numerical Linear Algebra by : H. van der Vorst

Download or read book Parallel Algorithms for Numerical Linear Algebra written by H. van der Vorst and published by Elsevier. This book was released on 2014-06-28 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Algorithms on Vector and Parallel Computers

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Author : Lars Eldén
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Numerical Linear Algebra Algorithms on Vector and Parallel Computers by : Lars Eldén

Download or read book Numerical Linear Algebra Algorithms on Vector and Parallel Computers written by Lars Eldén and published by . This book was released on 1993 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Algorithms for Matrix Computations

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Author : K. Gallivan
Publisher : SIAM
ISBN 13 : 9781611971705
Total Pages : 207 pages
Book Rating : 4.9/5 (717 download)

Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan

Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

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Author : Gene H. Golub
Publisher : Springer Science & Business Media
ISBN 13 : 3642755364
Total Pages : 717 pages
Book Rating : 4.6/5 (427 download)

Book Synopsis Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms by : Gene H. Golub

Download or read book Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms written by Gene H. Golub and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J. J. Dongarra
Publisher : Nova Science Publishers
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.X/5 (4 download)

Book Synopsis Parallel Numerical Linear Algebra by : J. J. Dongarra

Download or read book Parallel Numerical Linear Algebra written by J. J. Dongarra and published by Nova Science Publishers. This book was released on 2001 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : SIAM
ISBN 13 : 0898714281
Total Pages : 353 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Numerical Linear Algebra on High-Performance Computers by : Jack J. Dongarra

Download or read book Numerical Linear Algebra on High-Performance Computers written by Jack J. Dongarra and published by SIAM. This book was released on 1998-01-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 9401154120
Total Pages : 403 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Parallel Numerical Algorithms by : David E. Keyes

Download or read book Parallel Numerical Algorithms written by David E. Keyes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Parallel Algorithms

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Author : Ivan Dimov
Publisher : IOS Press
ISBN 13 : 9789051991512
Total Pages : 216 pages
Book Rating : 4.9/5 (915 download)

Book Synopsis Advances in Parallel Algorithms by : Ivan Dimov

Download or read book Advances in Parallel Algorithms written by Ivan Dimov and published by IOS Press. This book was released on 1994 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Parallelism in Matrix Computations

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Author : Efstratios Gallopoulos
Publisher : Springer
ISBN 13 : 940177188X
Total Pages : 489 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Parallelism in Matrix Computations by : Efstratios Gallopoulos

Download or read book Parallelism in Matrix Computations written by Efstratios Gallopoulos and published by Springer. This book was released on 2015-07-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Algorithms for Solving Linear Algebraic Equations

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Author : Emilio Spedicato
Publisher : Springer Science & Business Media
ISBN 13 : 3642767176
Total Pages : 361 pages
Book Rating : 4.6/5 (427 download)

Book Synopsis Computer Algorithms for Solving Linear Algebraic Equations by : Emilio Spedicato

Download or read book Computer Algorithms for Solving Linear Algebraic Equations written by Emilio Spedicato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.

Algorithms for Parallel Processing

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Author : Michael T. Heath
Publisher : Springer Science & Business Media
ISBN 13 : 1461215161
Total Pages : 373 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Algorithms for Parallel Processing by : Michael T. Heath

Download or read book Algorithms for Parallel Processing written by Michael T. Heath and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications ALGORITHMS FOR PARALLEL PROCESSING is based on the proceedings of a workshop that was an integral part of the 1996-97 IMA program on "MATHEMATICS IN HIGH-PERFORMANCE COMPUTING. " The workshop brought together algorithm developers from theory, combinatorics, and scientific computing. The topics ranged over models, linear algebra, sorting, randomization, and graph algorithms and their analysis. We thank Michael T. Heath of University of lllinois at Urbana (Com puter Science), Abhiram Ranade of the Indian Institute of Technology (Computer Science and Engineering), and Robert S. Schreiber of Hewlett Packard Laboratories for their excellent work in organizing the workshop and editing the proceedings. We also take this opportunity to thank the National Science Founda tion (NSF) and the Army Research Office (ARO), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The Workshop on Algorithms for Parallel Processing was held at the IMA September 16 - 20, 1996; it was the first workshop of the IMA year dedicated to the mathematics of high performance computing. The work shop organizers were Abhiram Ranade of The Indian Institute of Tech nology, Bombay, Michael Heath of the University of Illinois, and Robert Schreiber of Hewlett Packard Laboratories. Our idea was to bring together researchers who do innovative, exciting, parallel algorithms research on a wide range of topics, and by sharing insights, problems, tools, and methods to learn something of value from one another.

An Introduction to Parallel and Vector Scientific Computation

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Author : Ronald W. Shonkwiler
Publisher : Cambridge University Press
ISBN 13 : 113945899X
Total Pages : 21 pages
Book Rating : 4.1/5 (394 download)

Book Synopsis An Introduction to Parallel and Vector Scientific Computation by : Ronald W. Shonkwiler

Download or read book An Introduction to Parallel and Vector Scientific Computation written by Ronald W. Shonkwiler and published by Cambridge University Press. This book was released on 2006-08-14 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, students of applied mathematics, science and engineering are introduced to fundamental ways of thinking about the broad context of parallelism. The authors begin by giving the reader a deeper understanding of the issues through a general examination of timing, data dependencies, and communication. These ideas are implemented with respect to shared memory, parallel and vector processing, and distributed memory cluster computing. Threads, OpenMP, and MPI are covered, along with code examples in Fortran, C, and Java. The principles of parallel computation are applied throughout as the authors cover traditional topics in a first course in scientific computing. Building on the fundamentals of floating point representation and numerical error, a thorough treatment of numerical linear algebra and eigenvector/eigenvalue problems is provided. By studying how these algorithms parallelize, the reader is able to explore parallelism inherent in other computations, such as Monte Carlo methods.

Scientific Computing

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Author : Gene H. Golub
Publisher : Elsevier
ISBN 13 : 1483296040
Total Pages : 442 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Scientific Computing by : Gene H. Golub

Download or read book Scientific Computing written by Gene H. Golub and published by Elsevier. This book was released on 2014-06-28 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case. Gives a modern overview of scientific computing including parallel an vector computation Introduces numerical methods for both ordinary and partial differential equations Has considerable discussion of both direct and iterative methods for linear systems of equations, including parallel and vector algorithms Covers most of the main topics for a first course in numerical methods and can serve as a text for this course

Parallel Algorithms for Linear Models

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Author : Erricos Kontoghiorghes
Publisher : Springer Science & Business Media
ISBN 13 : 1461545714
Total Pages : 196 pages
Book Rating : 4.4/5 (615 download)

Book Synopsis Parallel Algorithms for Linear Models by : Erricos Kontoghiorghes

Download or read book Parallel Algorithms for Linear Models written by Erricos Kontoghiorghes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Solving Linear Systems on Vector and Shared Memory Computers

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Author : J. J. Dongarra
Publisher : Siam Proceedings
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Solving Linear Systems on Vector and Shared Memory Computers by : J. J. Dongarra

Download or read book Solving Linear Systems on Vector and Shared Memory Computers written by J. J. Dongarra and published by Siam Proceedings. This book was released on 1991 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Numerical Algorithms for Modern Parallel Computer Architectures

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Author : Martin Schultz
Publisher : Springer Science & Business Media
ISBN 13 : 1468463578
Total Pages : 236 pages
Book Rating : 4.4/5 (684 download)

Book Synopsis Numerical Algorithms for Modern Parallel Computer Architectures by : Martin Schultz

Download or read book Numerical Algorithms for Modern Parallel Computer Architectures written by Martin Schultz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel computers have started to completely revolutionize scientific computation. Articles in this volume represent applied mathematics, computer science, and application aspects of parallel scientific computing. Major advances are discussed dealing with multiprocessor architectures, parallel algorithm development and analysis, parallel systems and programming languages. The optimization of the application of massively parallel architectures to real world problems will provide the impetus for the development of entirely new approaches to these technical situations.

Solution of Partial Differential Equations on Vector and Parallel Computers

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Author : James M. Ortega
Publisher : SIAM
ISBN 13 : 0898710553
Total Pages : 99 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Solution of Partial Differential Equations on Vector and Parallel Computers by : James M. Ortega

Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-09-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.