Matrix preconditioning techniques and applications:
Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradie...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
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| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
19 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxiii, 568 pages) |
| ISBN: | 9780511543258 |
| DOI: | 10.1017/CBO9780511543258 |
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| 505 | 8 | 0 | |g 1 |t Introduction |g 2 |t Direct methods |g 3 |t Iterative methods |g 4 |t Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] |g 5 |t Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] |g 6 |t Multilevel methods and preconditioners [T3] : coarse grid approximation |g 7 |t Multilevel recursive Schur complements preconditioners [T4] |g 8 |t Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] |g 9 |t Wavelet Schur preconditioners [T6] |g 10 |t Implicit wavelet preconditioners [T7} |g 11 |t Application I : acoustic scattering modelling |g 12 |t Application II : coupled matrix problems |
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Datensatz im Suchindex
| _version_ | 1804176883981484032 |
|---|---|
| any_adam_object | |
| author | Chen, Ke 1962- |
| author_facet | Chen, Ke 1962- |
| author_role | aut |
| author_sort | Chen, Ke 1962- |
| author_variant | k c kc |
| building | Verbundindex |
| bvnumber | BV043941806 |
| classification_rvk | SK 910 |
| collection | ZDB-20-CBO |
| contents | Introduction Direct methods Iterative methods Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] Multilevel methods and preconditioners [T3] : coarse grid approximation Multilevel recursive Schur complements preconditioners [T4] Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] Wavelet Schur preconditioners [T6] Implicit wavelet preconditioners [T7} Application I : acoustic scattering modelling Application II : coupled matrix problems |
| ctrlnum | (ZDB-20-CBO)CR9780511543258 (OCoLC)992924408 (DE-599)BVBBV043941806 |
| dewey-full | 512.9434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9434 |
| dewey-search | 512.9434 |
| dewey-sort | 3512.9434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543258 |
| format | Electronic eBook |
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| id | DE-604.BV043941806 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511543258 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350776 |
| oclc_num | 992924408 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xxiii, 568 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Chen, Ke 1962- Verfasser aut Matrix preconditioning techniques and applications Ke Chen Matrix Preconditioning Techniques & Applications Cambridge Cambridge University Press 2005 1 online resource (xxiii, 568 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 19 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Introduction 2 Direct methods 3 Iterative methods 4 Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] 5 Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] 6 Multilevel methods and preconditioners [T3] : coarse grid approximation 7 Multilevel recursive Schur complements preconditioners [T4] 8 Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] 9 Wavelet Schur preconditioners [T6] 10 Implicit wavelet preconditioners [T7} 11 Application I : acoustic scattering modelling 12 Application II : coupled matrix problems Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike Datenverarbeitung Differential equations / Numerical solutions / Data processing Iterative methods (Mathematics) / Data processing Integral equations / Numerical solutions / Data processing Sparse matrices / Data processing Schwach besetzte Matrix (DE-588)4056053-3 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Computerunterstütztes Verfahren (DE-588)4139030-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s Computerunterstütztes Verfahren (DE-588)4139030-1 s 1\p DE-604 Integralgleichung (DE-588)4027229-1 s 2\p DE-604 Schwach besetzte Matrix (DE-588)4056053-3 s 3\p DE-604 Iteration (DE-588)4123457-1 s 4\p DE-604 Erscheint auch als Druckausgabe 978-0-521-83828-3 https://doi.org/10.1017/CBO9780511543258 Verlag URL des Erstveröffentlichers 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chen, Ke 1962- Matrix preconditioning techniques and applications Introduction Direct methods Iterative methods Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] Multilevel methods and preconditioners [T3] : coarse grid approximation Multilevel recursive Schur complements preconditioners [T4] Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] Wavelet Schur preconditioners [T6] Implicit wavelet preconditioners [T7} Application I : acoustic scattering modelling Application II : coupled matrix problems Datenverarbeitung Differential equations / Numerical solutions / Data processing Iterative methods (Mathematics) / Data processing Integral equations / Numerical solutions / Data processing Sparse matrices / Data processing Schwach besetzte Matrix (DE-588)4056053-3 gnd Iteration (DE-588)4123457-1 gnd Computerunterstütztes Verfahren (DE-588)4139030-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Integralgleichung (DE-588)4027229-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4056053-3 (DE-588)4123457-1 (DE-588)4139030-1 (DE-588)4012249-9 (DE-588)4027229-1 (DE-588)4128130-5 |
| title | Matrix preconditioning techniques and applications |
| title_alt | Matrix Preconditioning Techniques & Applications Introduction Direct methods Iterative methods Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] Multilevel methods and preconditioners [T3] : coarse grid approximation Multilevel recursive Schur complements preconditioners [T4] Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] Wavelet Schur preconditioners [T6] Implicit wavelet preconditioners [T7} Application I : acoustic scattering modelling Application II : coupled matrix problems |
| title_auth | Matrix preconditioning techniques and applications |
| title_exact_search | Matrix preconditioning techniques and applications |
| title_full | Matrix preconditioning techniques and applications Ke Chen |
| title_fullStr | Matrix preconditioning techniques and applications Ke Chen |
| title_full_unstemmed | Matrix preconditioning techniques and applications Ke Chen |
| title_short | Matrix preconditioning techniques and applications |
| title_sort | matrix preconditioning techniques and applications |
| topic | Datenverarbeitung Differential equations / Numerical solutions / Data processing Iterative methods (Mathematics) / Data processing Integral equations / Numerical solutions / Data processing Sparse matrices / Data processing Schwach besetzte Matrix (DE-588)4056053-3 gnd Iteration (DE-588)4123457-1 gnd Computerunterstütztes Verfahren (DE-588)4139030-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Integralgleichung (DE-588)4027229-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Datenverarbeitung Differential equations / Numerical solutions / Data processing Iterative methods (Mathematics) / Data processing Integral equations / Numerical solutions / Data processing Sparse matrices / Data processing Schwach besetzte Matrix Iteration Computerunterstütztes Verfahren Differentialgleichung Integralgleichung Numerisches Verfahren |
| url | https://doi.org/10.1017/CBO9780511543258 |
| work_keys_str_mv | AT chenke matrixpreconditioningtechniquesandapplications AT chenke matrixpreconditioningtechniquesapplications |