The symmetric eigenvalue problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1998
|
| Ausgabe: | "This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--T.p. verso |
| Schriftenreihe: | Classics in applied mathematics
20 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index Convergence theory for the Rayleigh quotient iteration -- Eigenvectors of tridiagonals -- Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR -- New proofs and sharper results for error bounds -- Optimal properties of Rayleigh-Ritz approximations -- Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors -- Four flavors of subspace iteration According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them |
| Beschreibung: | 1 Online Ressource (xxiv, 398 Seiten) |
| ISBN: | 0898714028 9780898714029 |
| DOI: | 10.1137/1.9781611971163 |
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| 250 | |a "This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--T.p. verso | ||
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1998 | |
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| 490 | 1 | |a Classics in applied mathematics |v 20 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Convergence theory for the Rayleigh quotient iteration -- Eigenvectors of tridiagonals -- Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR -- New proofs and sharper results for error bounds -- Optimal properties of Rayleigh-Ritz approximations -- Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors -- Four flavors of subspace iteration | ||
| 500 | |a According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them | ||
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| edition | "This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--T.p. verso |
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| id | DE-604.BV039747319 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898714028 9780898714029 |
| language | English |
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| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Parlett, Beresford N. (DE-588)1112957529 aut The symmetric eigenvalue problem Beresford N. Parlett "This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--T.p. verso Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1998 1 Online Ressource (xxiv, 398 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 20 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index Convergence theory for the Rayleigh quotient iteration -- Eigenvectors of tridiagonals -- Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR -- New proofs and sharper results for error bounds -- Optimal properties of Rayleigh-Ritz approximations -- Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors -- Four flavors of subspace iteration According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them Symmetric matrices Eigenvalues Eigenwert (DE-588)4151200-5 gnd rswk-swf Symmetrische Matrix (DE-588)4314057-9 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Symmetrische Matrix (DE-588)4314057-9 s Eigenwertproblem (DE-588)4013802-1 s DE-604 Eigenwert (DE-588)4151200-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898714028 (DE-604)BV013444518 Erscheint auch als Druck-Ausgabe, Paperback 9780898714029 Classics in applied mathematics 20 (DE-604)BV040633091 20 https://doi.org/10.1137/1.9781611971163 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Parlett, Beresford N. The symmetric eigenvalue problem Classics in applied mathematics Symmetric matrices Eigenvalues Eigenwert (DE-588)4151200-5 gnd Symmetrische Matrix (DE-588)4314057-9 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| subject_GND | (DE-588)4151200-5 (DE-588)4314057-9 (DE-588)4013802-1 |
| title | The symmetric eigenvalue problem |
| title_auth | The symmetric eigenvalue problem |
| title_exact_search | The symmetric eigenvalue problem |
| title_full | The symmetric eigenvalue problem Beresford N. Parlett |
| title_fullStr | The symmetric eigenvalue problem Beresford N. Parlett |
| title_full_unstemmed | The symmetric eigenvalue problem Beresford N. Parlett |
| title_short | The symmetric eigenvalue problem |
| title_sort | the symmetric eigenvalue problem |
| topic | Symmetric matrices Eigenvalues Eigenwert (DE-588)4151200-5 gnd Symmetrische Matrix (DE-588)4314057-9 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| topic_facet | Symmetric matrices Eigenvalues Eigenwert Symmetrische Matrix Eigenwertproblem |
| url | https://doi.org/10.1137/1.9781611971163 |
| volume_link | (DE-604)BV040633091 |
| work_keys_str_mv | AT parlettberesfordn thesymmetriceigenvalueproblem |