Geršgorin and his circles
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Springer series in computational mathematics
36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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Datensatz im Suchindex
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| adam_text | RICHARD S. VARGA GERSGORIN AND HIS CIRCLES 4Y SPRINGER CONTENTS I.
PREFACE VII 1. BASIC THEORY 1 1.1 GERSGORIN S THEOREM 1 1.2 EXTENSIONS
OF GERSGORIN S THEOREM VIA GRAPH THEORY 10 1.3 ANALYSIS EXTENSIONS OF
GERSGORIN S THEOREM AND FAN S THEOREM 18 1.4 A NORM DERIVATION OF
GERSGORIN S THEOREM 1.1 26 2. GERSGORIN-TYPE EIGENVALUE INCLUSION
THEOREMS 35 2.1 BRAUER S OVALS OF CASSINI 35 2.2 HIGHER-ORDER
LEMNISCATES 43 2.3 COMPARISON OF THE BRAUER SETS AND THE BRUALDI SETS 53
2.4 THE SHARPNESS OF BRUALDI LEMNISCATE SETS 58 2.5 AN EXAMPLE 67 3.
MORE EIGENVALUE INCLUSION RESULTS 73 3.1 THE PARODI-SCHNEIDER EIGENVALUE
INCLUSION SETS 73 3.2 THE FIELD OF VALUES OF A MATRIX 79 3.3 NEWER
EIGENVALUE INCLUSION SETS 84 3.4 THE PUPKOV-SOLOV EV EIGENVALUE
INCLUSIONS SET 92 4. MINIMAL GERSGORIN SETS AND THEIR SHARPNESS 97 4.1
MINIMAL GERSGORIN SETS 97 4.2 MINIMAL GERSGORIN SETS VIA PERMUTATIONS
110 4.3 A COMPARISON OF MINIMAL GERSGORIN SETS AND BRUALDI SETS . . 121
5. G-FUNCTIONS 127 5.1 THE SETS F N AND Q N 127 5.2 STRUCTURAL
PROPERTIES OF Q N AND 5.3 MINIMAL G-FUNCTIONS 141 5.4 MINIMAL
G-FUNCTIONS WITH SMALL DOMAINS OF DEPENDENCE ... 145 5.5 CONNECTIONS
WITH BRAUER SETS AND GENERALIZED BRUALDI SETS. . 149 X CONTENTS 6.
GERSGORIN-TYPE THEOREMS FOR PARTITIONED MATRICES 155 6.1 PARTITIONED
MATRICES AND BLOCK DIAGONAL DOMINANCE 155 6.2 A DIFFERENT NORM APPROACH
164 6.3 A VARIATION ON A THEME BY BRUALDI 174 6.4 G-FUNCTIONS IN THE
PARTITIONED CASE 181 APPENDIX A. GERSGORIN S PAPER FROM 1931, AND
COMMENTS .. 189 APPENDIX B. VECTOR NORMS AND INDUCED OPERATOR NORMS. . .
199 APPENDIX C. THE PERRON-FROBENIUS THEORY OF NONNEGATIVE MATRICES 201
APPENDIX D. MATLAB 6 PROGRAMS 205 REFERENCES 217
|
| any_adam_object | 1 |
| author | Varga, Richard S. 1928-2022 |
| author_GND | (DE-588)1068286725 |
| author_facet | Varga, Richard S. 1928-2022 |
| author_role | aut |
| author_sort | Varga, Richard S. 1928-2022 |
| author_variant | r s v rs rsv |
| building | Verbundindex |
| bvnumber | BV017874278 |
| classification_rvk | SK 220 |
| classification_tum | MAT 150f |
| ctrlnum | (OCoLC)440899917 (DE-599)BVBBV017874278 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017874278 |
| illustrated | Illustrated |
| indexdate | 2024-11-25T17:26:05Z |
| institution | BVB |
| isbn | 3540211004 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010723571 |
| oclc_num | 440899917 |
| open_access_boolean | |
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| owner_facet | DE-20 DE-824 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-384 DE-83 DE-11 DE-188 |
| physical | X, 226 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in computational mathematics |
| series2 | Springer series in computational mathematics |
| spellingShingle | Varga, Richard S. 1928-2022 Geršgorin and his circles Springer series in computational mathematics Matrizen-Eigenwertaufgabe (DE-588)4120715-4 gnd Komplexe Matrix (DE-588)4566051-7 gnd |
| subject_GND | (DE-588)4120715-4 (DE-588)4566051-7 |
| title | Geršgorin and his circles |
| title_auth | Geršgorin and his circles |
| title_exact_search | Geršgorin and his circles |
| title_full | Geršgorin and his circles Richard S. Varga |
| title_fullStr | Geršgorin and his circles Richard S. Varga |
| title_full_unstemmed | Geršgorin and his circles Richard S. Varga |
| title_short | Geršgorin and his circles |
| title_sort | gersgorin and his circles |
| topic | Matrizen-Eigenwertaufgabe (DE-588)4120715-4 gnd Komplexe Matrix (DE-588)4566051-7 gnd |
| topic_facet | Matrizen-Eigenwertaufgabe Komplexe Matrix |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010723571&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012004 |
| work_keys_str_mv | AT vargarichards gersgorinandhiscircles |