Variational methods for eigenvalue approximation: "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University."
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)
1974
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
15 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 151-156) Why study Eigenvalues -- The setting: linear vector spaces and their properties -- The existence and characterization of Eigenvalues -- Improvable bounds for Eigenvalues -- Eigenvector approximation -- Finite difference equations -- Some other bounds Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators |
| Beschreibung: | 1 Online-Ressource (v, 156 Seiten) 1 Online-Ressource |
| ISBN: | 089871012X 9780898710120 |
| DOI: | 10.1137/1.9781611970531 |
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| 500 | |a Why study Eigenvalues -- The setting: linear vector spaces and their properties -- The existence and characterization of Eigenvalues -- Improvable bounds for Eigenvalues -- Eigenvector approximation -- Finite difference equations -- Some other bounds | ||
| 500 | |a Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators | ||
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Datensatz im Suchindex
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| author | Weinberger, Hans F. 1928- |
| author_GND | (DE-588)170857336 |
| author_facet | Weinberger, Hans F. 1928- |
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| author_sort | Weinberger, Hans F. 1928- |
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| discipline | Mathematik |
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| id | DE-604.BV039747248 |
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| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 089871012X 9780898710120 |
| language | English |
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| publishDate | 1974 |
| publishDateSearch | 1974 |
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| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Weinberger, Hans F. 1928- Verfasser (DE-588)170857336 aut Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." Hans F. Weinberger Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1974 1 Online-Ressource (v, 156 Seiten) 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 15 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 151-156) Why study Eigenvalues -- The setting: linear vector spaces and their properties -- The existence and characterization of Eigenvalues -- Improvable bounds for Eigenvalues -- Eigenvector approximation -- Finite difference equations -- Some other bounds Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators Differential operators Eigenvalues Maxima and minima Approximation theory Approximation (DE-588)4002498-2 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Eigenwertproblem (DE-588)4013802-1 s Approximation (DE-588)4002498-2 s Variationsrechnung (DE-588)4062355-5 s 2\p DE-604 Erscheint auch als Druckausgabe 089871012X Erscheint auch als Druckausgabe 9780898710120 CBMS-NSF regional conference series in applied mathematics 15 (DE-604)BV046682627 15 https://doi.org/10.1137/1.9781611970531 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 | Weinberger, Hans F. 1928- Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." CBMS-NSF regional conference series in applied mathematics Differential operators Eigenvalues Maxima and minima Approximation theory Approximation (DE-588)4002498-2 gnd Variationsrechnung (DE-588)4062355-5 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4062355-5 (DE-588)4013802-1 (DE-588)1071861417 |
| title | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." |
| title_auth | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." |
| title_exact_search | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." |
| title_full | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." Hans F. Weinberger |
| title_fullStr | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." Hans F. Weinberger |
| title_full_unstemmed | Variational methods for eigenvalue approximation "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." Hans F. Weinberger |
| title_short | Variational methods for eigenvalue approximation |
| title_sort | variational methods for eigenvalue approximation based on a series of lectures presented at the n s f c b m s regional conference on approximation of eigenvalues of differential operators held during june 26 30 1972 at vanderbilt university |
| title_sub | "Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." |
| topic | Differential operators Eigenvalues Maxima and minima Approximation theory Approximation (DE-588)4002498-2 gnd Variationsrechnung (DE-588)4062355-5 gnd Eigenwertproblem (DE-588)4013802-1 gnd |
| topic_facet | Differential operators Eigenvalues Maxima and minima Approximation theory Approximation Variationsrechnung Eigenwertproblem Konferenzschrift |
| url | https://doi.org/10.1137/1.9781611970531 |
| volume_link | (DE-604)BV046682627 |
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