Numerical linear algebra for high-performance computers:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics
1998
|
| Schriftenreihe: | Software, environments, tools
7 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | 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 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 |
| Beschreibung: | 1 Online-Ressource (xviii, 342 Seiten) |
| ISBN: | 0898714281 9780898714289 |
| DOI: | 10.1137/1.9780898719611 |
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| 245 | 1 | 0 | |a Numerical linear algebra for high-performance computers |c Jack J. Dongarra ; Iain S. Duff ; Danny C. Sorensen ; Danny C. Sorensen |
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| 500 | |a 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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| id | DE-604.BV039747156 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898714281 9780898714289 |
| language | English |
| lccn | 98044444 |
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| physical | 1 Online-Ressource (xviii, 342 Seiten) |
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| publisher | Society for Industrial and Applied Mathematics |
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| spelling | Numerical linear algebra for high-performance computers Jack J. Dongarra ; Iain S. Duff ; Danny C. Sorensen ; Danny C. Sorensen Philadelphia, Pa. Society for Industrial and Applied Mathematics 1998 1 Online-Ressource (xviii, 342 Seiten) txt rdacontent c rdamedia cr rdacarrier Software, environments, tools 7 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 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 Datenverarbeitung High performance computing Algebras, Linear / Data processing Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Parallelrechner (DE-588)4173280-7 gnd rswk-swf Vektorrechner (DE-588)4062470-5 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Numerisches Verfahren (DE-588)4128130-5 s Parallelrechner (DE-588)4173280-7 s 1\p DE-604 Vektorrechner (DE-588)4062470-5 s 2\p DE-604 Dongarra, Jack 1950- Sonstige (DE-588)136831621 oth Duff, Iain S Sonstige oth Sorensen, Danny C Sonstige oth van der Vorst, Henk A. Sonstige oth Erscheint auch als Druck-Ausgabe 9780898714289 Software, environments, tools 7 (DE-604)BV022382558 7 https://doi.org/10.1137/1.9780898719611 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Numerical linear algebra for high-performance computers Software, environments, tools Datenverarbeitung High performance computing Algebras, Linear / Data processing Lineare Algebra (DE-588)4035811-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Parallelrechner (DE-588)4173280-7 gnd Vektorrechner (DE-588)4062470-5 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4128130-5 (DE-588)4173280-7 (DE-588)4062470-5 |
| title | Numerical linear algebra for high-performance computers |
| title_auth | Numerical linear algebra for high-performance computers |
| title_exact_search | Numerical linear algebra for high-performance computers |
| title_full | Numerical linear algebra for high-performance computers Jack J. Dongarra ; Iain S. Duff ; Danny C. Sorensen ; Danny C. Sorensen |
| title_fullStr | Numerical linear algebra for high-performance computers Jack J. Dongarra ; Iain S. Duff ; Danny C. Sorensen ; Danny C. Sorensen |
| title_full_unstemmed | Numerical linear algebra for high-performance computers Jack J. Dongarra ; Iain S. Duff ; Danny C. Sorensen ; Danny C. Sorensen |
| title_short | Numerical linear algebra for high-performance computers |
| title_sort | numerical linear algebra for high performance computers |
| topic | Datenverarbeitung High performance computing Algebras, Linear / Data processing Lineare Algebra (DE-588)4035811-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Parallelrechner (DE-588)4173280-7 gnd Vektorrechner (DE-588)4062470-5 gnd |
| topic_facet | Datenverarbeitung High performance computing Algebras, Linear / Data processing Lineare Algebra Numerisches Verfahren Parallelrechner Vektorrechner |
| url | https://doi.org/10.1137/1.9780898719611 |
| volume_link | (DE-604)BV022382558 |
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