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Call Number 004/.35
Title Numerical linear algebra for high-performance computers [electronic resource] / Jack J. Dongarra ... [et al.].
Publication Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1998.
Material Info. 1 electronic text (xviii, 342 p.) : ill., digital file.
Series Software, environments, tools ; 7
Series Software, environments, tools ; 7.
Summary Note This book 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. It 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.
Notes Includes bibliographical references (p. 301-328) and index.
Notes About the authors -- Preface -- Introduction -- 1. High performance computing -- 2. Overview of current high-performance computers -- 3. Implementation details and overhead -- 4. Performance, analysis, modeling, and measurements -- 5. Building blocks in linear algebra -- 6. Direct solution of sparse linear systems -- 7. Krylov subspaces, projection -- 8. Iterative methods for linear systems -- 9. Preconditioning and parallel preconditioning -- 10. Linear eigenvalue problems Ax=lx -- 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.
ISBN 9780898719611 (electronic bk.)
Subject High performance computing.
Subject Algebras, Linear Data processing.
Subject High performance computing
Subject Linear algebras
Subject Data processing
Subject Sparse linear systems
Added Entry Dongarra, J. J.
Added Entry Society for Industrial and Applied Mathematics.
Date Year, Month, Day:01405141
Link SIAM

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