Format:
1 Online-Ressource (xviii, 342 Seiten)
ISBN:
0898714281
,
9780898714289
Series Statement:
Software, environments, tools 7
Note:
Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
,
Includes bibliographical references (s. 301-328) and index
,
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
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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
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780898714289
Language:
English
Subjects:
Mathematics
Keywords:
Lineare Algebra
;
Numerisches Verfahren
;
Parallelrechner
;
Lineare Algebra
;
Numerisches Verfahren
;
Vektorrechner
DOI:
10.1137/1.9780898719611
Author information:
Dongarra, Jack 1950-
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