Perturbation bounds for matrix eigenvalues:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1987
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
162 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 129 S. |
| ISBN: | 0582013798 |
Internformat
MARC
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| 245 | 1 | 0 | |a Perturbation bounds for matrix eigenvalues |c Rajendra Bhatia |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1987 | |
| 300 | |a 129 S. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
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| adam_text | Contents
Preface
Introduction 1
1. Preliminaries 7
§1. The marriage problem 7
§2. Birkhoffs theorem 11
§3. Majorization 11
§4. Tensor products 14
Notes and references 16
2. Singular values and norms 18
§5. Singular values and polar decomposition 18
§6. The minmax principle 20
§7. Symmetric gauge functions and norms 24
Notes and references 31
3. Spectral variation of Hermitian matrices 34
§8. Weyl s inequalities 34
§9. The Lidskii Wielandt theorem 38
§10. Matrices with real eigenvalues and Lax s theorem 46
Notes and references 50
4. Spectral variation of normal matrices 52
§11. Introduction to chapter 4 52
§12. The Hausdorff distance between spectra 53
§13. Geometry and spectral variation I 55
§14. Geometry and spectral variation II 63
§15. The Hoffman Wielandt theorem 74
§16. Perturbation of spectral spaces 75
§17. The cyclic order 82
§18. An inequality of Sunder 85
Notes and references 86
5. The general spectral variation problem 89
§19. The distance between roots of polynomials 89
§20. Variation of Grassman powers and spectra 94
§21. Some more spectral variation bounds 99
§22. Spectral variation for the classical tie algebras 104
Notes and references 105
6. Arbitrary perturbations of constrained matrices 108
§23. Arbitrary perturbations of Hermitian matrices 108
and Kahan s results
§24. Arbitrary perturbations of normal matrices 112
§25. The Bauer Fike theorem 113
Notes and references 116
Postscripts 118
References 122
|
| any_adam_object | 1 |
| author | Bhatia, Rajendra 1952- |
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| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV008947747 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:27:16Z |
| institution | BVB |
| isbn | 0582013798 |
| language | English |
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| physical | 129 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Bhatia, Rajendra 1952- Verfasser (DE-588)104344431 aut Perturbation bounds for matrix eigenvalues Rajendra Bhatia 1. publ. Harlow, Essex Longman 1987 129 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 162 Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Eigenwert (DE-588)4151200-5 gnd rswk-swf Eigenwert (DE-588)4151200-5 s Matrix Mathematik (DE-588)4037968-1 s Störungstheorie (DE-588)4128420-3 s DE-604 Pitman research notes in mathematics series 162 (DE-604)BV000022845 162 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005903621&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bhatia, Rajendra 1952- Perturbation bounds for matrix eigenvalues Pitman research notes in mathematics series Matrix Mathematik (DE-588)4037968-1 gnd Störungstheorie (DE-588)4128420-3 gnd Eigenwert (DE-588)4151200-5 gnd |
| subject_GND | (DE-588)4037968-1 (DE-588)4128420-3 (DE-588)4151200-5 |
| title | Perturbation bounds for matrix eigenvalues |
| title_auth | Perturbation bounds for matrix eigenvalues |
| title_exact_search | Perturbation bounds for matrix eigenvalues |
| title_full | Perturbation bounds for matrix eigenvalues Rajendra Bhatia |
| title_fullStr | Perturbation bounds for matrix eigenvalues Rajendra Bhatia |
| title_full_unstemmed | Perturbation bounds for matrix eigenvalues Rajendra Bhatia |
| title_short | Perturbation bounds for matrix eigenvalues |
| title_sort | perturbation bounds for matrix eigenvalues |
| topic | Matrix Mathematik (DE-588)4037968-1 gnd Störungstheorie (DE-588)4128420-3 gnd Eigenwert (DE-588)4151200-5 gnd |
| topic_facet | Matrix Mathematik Störungstheorie Eigenwert |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005903621&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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