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Templates for the Solution of Linear Systems

Author: Richard Barrett

Publisher: SIAM

Published: 1994-01-01

Total Pages: 141

ISBN-13: 9781611971538

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In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.

Book Synopsis Templates for the Solution of Linear Systems by : Richard Barrett

Download or read book Templates for the Solution of Linear Systems written by Richard Barrett and published by SIAM. This book was released on 1994-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.

Templates for the Solution of Linear Systems

Author: Richard Barrett

Publisher: SIAM

Published: 1994-01-01

Total Pages: 130

ISBN-13: 0898713285

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Mathematics of Computing -- Numerical Analysis.

Book Synopsis Templates for the Solution of Linear Systems by : Richard Barrett

Download or read book Templates for the Solution of Linear Systems written by Richard Barrett and published by SIAM. This book was released on 1994-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Templates for the Solution of Algebraic Eigenvalue Problems

Author: Zhaojun Bai

Publisher: SIAM

Published: 2000-01-01

Total Pages: 430

ISBN-13: 0898714710

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Mathematics of Computing -- Numerical Analysis.

Book Synopsis Templates for the Solution of Algebraic Eigenvalue Problems by : Zhaojun Bai

Download or read book Templates for the Solution of Algebraic Eigenvalue Problems written by Zhaojun Bai and published by SIAM. This book was released on 2000-01-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Matrix Iterative Analysis

Author: Richard S Varga

Publisher: Springer Science & Business Media

Published: 2009-12-05

Total Pages: 363

ISBN-13: 3642051561

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This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Book Synopsis Matrix Iterative Analysis by : Richard S Varga

Download or read book Matrix Iterative Analysis written by Richard S Varga and published by Springer Science & Business Media. This book was released on 2009-12-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Iterative Krylov Methods for Large Linear Systems

Author: H. A. van der Vorst

Publisher: Cambridge University Press

Published: 2003-04-17

Total Pages: 242

ISBN-13: 9780521818285

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Table of contents

Book Synopsis Iterative Krylov Methods for Large Linear Systems by : H. A. van der Vorst

Download or read book Iterative Krylov Methods for Large Linear Systems written by H. A. van der Vorst and published by Cambridge University Press. This book was released on 2003-04-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Parallel Numerical Algorithms

Author: David E. Keyes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 403

ISBN-13: 9401154120

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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.

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.

Applied Numerical Linear Algebra

Author: James W. Demmel

Publisher: SIAM

Published: 1997-08-01

Total Pages: 426

ISBN-13: 0898713897

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

Book Synopsis Applied Numerical Linear Algebra by : James W. Demmel

Download or read book Applied Numerical Linear Algebra written by James W. Demmel and published by SIAM. This book was released on 1997-08-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

The Symmetric Eigenvalue Problem

Author: Beresford N. Parlett

Publisher: SIAM

Published: 1980-01-01

Total Pages: 415

ISBN-13: 0898714028

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Mathematics of Computing -- Numerical Analysis.

Book Synopsis The Symmetric Eigenvalue Problem by : Beresford N. Parlett

Download or read book The Symmetric Eigenvalue Problem written by Beresford N. Parlett and published by SIAM. This book was released on 1980-01-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Applied Parallel Computing

Author: Bo Kagström

Publisher: Springer

Published: 2007-09-22

Total Pages: 1192

ISBN-13: 3540757554

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This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Applied Parallel Computing, PARA 2006. It covers partial differential equations, parallel scientific computing algorithms, linear algebra, simulation environments, algorithms and applications for blue gene/L, scientific computing tools and applications, parallel search algorithms, peer-to-peer computing, mobility and security, algorithms for single-chip multiprocessors.

Book Synopsis Applied Parallel Computing by : Bo Kagström

Download or read book Applied Parallel Computing written by Bo Kagström and published by Springer. This book was released on 2007-09-22 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Applied Parallel Computing, PARA 2006. It covers partial differential equations, parallel scientific computing algorithms, linear algebra, simulation environments, algorithms and applications for blue gene/L, scientific computing tools and applications, parallel search algorithms, peer-to-peer computing, mobility and security, algorithms for single-chip multiprocessors.

Introduction to Applied Linear Algebra

Author: Stephen Boyd

Publisher: Cambridge University Press

Published: 2018-06-07

Total Pages: 477

ISBN-13: 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.