Numerical Linear Algebra for High-Performance Computers
Will be published approx. on 30. November 1998
Book
Paperback/Softback
360 pages
978-0-89871-428-9 (ISBN)
Description
Presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers, and provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.
Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems.
This book supersedes the SIAM publication Solving Linear Systems on Vector and Shared Memory Computers, which appeared in 1990. The new book includes a considerable amount of new material in addition to incorporating a substantial revision of existing text.
Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems.
This book supersedes the SIAM publication Solving Linear Systems on Vector and Shared Memory Computers, which appeared in 1990. The new book includes a considerable amount of new material in addition to incorporating a substantial revision of existing text.
More details
Series
Edition
Revised edition
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 18 mm
Weight
599 gr
ISBN-13
978-0-89871-428-9 (9780898714289)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Jack Dongarra | etc. | Iain S. Duff
Solving Linear Systems on Vector and Shared Memory Computers
Book
12/1990
Society for Industrial & Applied Mathematics,U.S.
€50.34
Article exhausted; check for reprint
Content
About the Authors
Preface
Introduction
Chapter 1: High Performance Computing
Chapter 2: Overview of Current High-Performance Computers
Chapter 3: Implementation Details and Overhead
Chapter 4: Performance: Analysis, Modeling, and Measurements
Chapter 5: Building Blocks in Linear Algebra
Chapter 6: Direct Solution of Sparse Linear Systems
Chapter 7: Krylov Subspaces: Projection
Chapter 8: Iterative Methods for Linear Systems
Chapter 9: Preconditioning and Parallel Preconditioning
Chapter 10: Linear Eigenvalue Problems Ax=?x
Chapter 11: The Generalized Eigenproblem
Appendix A: Acquiring Mathematical Software
Appendix B: Glossary
Appendix C: Level 1, 2, and 3 BLAS Quick Reference
Appendix D: Operation Counts for Various BLAS and Decompositions
Bibliography
Index.
Preface
Introduction
Chapter 1: High Performance Computing
Chapter 2: Overview of Current High-Performance Computers
Chapter 3: Implementation Details and Overhead
Chapter 4: Performance: Analysis, Modeling, and Measurements
Chapter 5: Building Blocks in Linear Algebra
Chapter 6: Direct Solution of Sparse Linear Systems
Chapter 7: Krylov Subspaces: Projection
Chapter 8: Iterative Methods for Linear Systems
Chapter 9: Preconditioning and Parallel Preconditioning
Chapter 10: Linear Eigenvalue Problems Ax=?x
Chapter 11: The Generalized Eigenproblem
Appendix A: Acquiring Mathematical Software
Appendix B: Glossary
Appendix C: Level 1, 2, and 3 BLAS Quick Reference
Appendix D: Operation Counts for Various BLAS and Decompositions
Bibliography
Index.