Hankel and Toeplitz matrices and forms: algebraic theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1982
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Gankelevy i teplicevy matricy i formy (engl.) |
| Physical Description: | XIII, 231 S. |
| ISBN: | 3764330902 |
Staff View
MARC
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| 240 | 1 | 0 | |a Gankelevy i teplicevy matricy i formy |
| 245 | 1 | 0 | |a Hankel and Toeplitz matrices and forms |b algebraic theory |
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| 300 | |a XIII, 231 S. | ||
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| 500 | |a EST: Gankelevy i teplicevy matricy i formy (engl.) | ||
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Record in the Search Index
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| adam_text | CONTENTS
Editorial introduction vii
Note of the translator viii
Preface ix
Chapter I: Some information from the general theory
of matrices and forms 1
§ 1. The reciprocal matrix and its minors 1
§ 2. The Sylvester identities for bordered minors 5
Notes to § 2 9
§ 3. Evaluation of certain determinants 9
Notes to § 3 18
§ 4. Matrices and linear operators. Spectrum 18
Notes to § 4 23
§ 5. Hermitian and quadratic forms. Law of
inertia. Signature 24
Notes to § 5 33
§ 6. Truncated forms 33
Notes to § 6 41
§ 7. The Sylvester formula and the representation
of a Hermitian form as a sum of squares by
the method of Jacobi 42
§ 8. The signature rule of Jacobi and its generali¬
zations 46
Notes to § 8 52
Chapter II: Hankel matrices and forms 53
§ 9. Hankel matrices. Singular extensions 53
Notes to § 9 61
§ 10. The (r,k) characteristic of a Hankel matrix 61
Notes to § 10 69
§ 11. Theorems on the rank 69
Notes to § 11 80
CONTENTS
§ 12. Hankel forms 81
Notes to § 12 94
Chapter III: Toeplitz matrices and forms 96
§ 13. Toeplitz matrices. Singular extensions 96
Notes to § 13 106
§ 14. The (r,k,JU characteristic of a Toeplitz matrix 106
§ 15. Theorems on the rank 111
Notes to § 15 126
§ 16. Hermitian Toeplitz forms 127
Chapter IV: Transformations of Toeplitz and Hankel
matrices and forms 135
§ 17. Mutual transformations of Toeplitz and
Hankel matrices. Recalculation of the
characteristics 13 5
Notes to § 17 147
§ 18. Inversion of Toeplitz and Hankel matrices 147
Notes to § 18 175
§ 19. Mutual transformations of Toeplitz and
Hankel forms 177
Notes to § 19 191
Appendices
I. The theorems of Borhardt Jacobi and of
Herglotz M. Krein on the roots of real and
Hermitian symmetric polynomials 192
Note to App. I 201
II. The functionals S and C and some of their
applications 201
Notes to App. II 220
References 221
Additional references published in the years 1974 1980 226
Index 228
|
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| bvnumber | BV002155693 |
| classification_rvk | SK 220 |
| classification_tum | MAT 159f |
| ctrlnum | (OCoLC)472089625 (DE-599)BVBBV002155693 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002155693 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:41:15Z |
| institution | BVB |
| isbn | 3764330902 |
| language | English |
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| physical | XIII, 231 S. |
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| publishDate | 1982 |
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| publisher | Birkhäuser |
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| spelling | Iochvidov, Iosif S. Verfasser aut Gankelevy i teplicevy matricy i formy Hankel and Toeplitz matrices and forms algebraic theory Boston [u.a.] Birkhäuser 1982 XIII, 231 S. txt rdacontent n rdamedia nc rdacarrier EST: Gankelevy i teplicevy matricy i formy (engl.) Toeplitz-Matrix (DE-588)4185611-9 gnd rswk-swf Toeplitz-Form (DE-588)4356531-1 gnd rswk-swf Hankel-Matrix (DE-588)4159080-6 gnd rswk-swf Hankel-Funktion (DE-588)4159078-8 gnd rswk-swf Toeplitz-Matrix (DE-588)4185611-9 s DE-604 Toeplitz-Form (DE-588)4356531-1 s Hankel-Matrix (DE-588)4159080-6 s Hankel-Funktion (DE-588)4159078-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001414972&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iochvidov, Iosif S. Hankel and Toeplitz matrices and forms algebraic theory Toeplitz-Matrix (DE-588)4185611-9 gnd Toeplitz-Form (DE-588)4356531-1 gnd Hankel-Matrix (DE-588)4159080-6 gnd Hankel-Funktion (DE-588)4159078-8 gnd |
| subject_GND | (DE-588)4185611-9 (DE-588)4356531-1 (DE-588)4159080-6 (DE-588)4159078-8 |
| title | Hankel and Toeplitz matrices and forms algebraic theory |
| title_alt | Gankelevy i teplicevy matricy i formy |
| title_auth | Hankel and Toeplitz matrices and forms algebraic theory |
| title_exact_search | Hankel and Toeplitz matrices and forms algebraic theory |
| title_full | Hankel and Toeplitz matrices and forms algebraic theory |
| title_fullStr | Hankel and Toeplitz matrices and forms algebraic theory |
| title_full_unstemmed | Hankel and Toeplitz matrices and forms algebraic theory |
| title_short | Hankel and Toeplitz matrices and forms |
| title_sort | hankel and toeplitz matrices and forms algebraic theory |
| title_sub | algebraic theory |
| topic | Toeplitz-Matrix (DE-588)4185611-9 gnd Toeplitz-Form (DE-588)4356531-1 gnd Hankel-Matrix (DE-588)4159080-6 gnd Hankel-Funktion (DE-588)4159078-8 gnd |
| topic_facet | Toeplitz-Matrix Toeplitz-Form Hankel-Matrix Hankel-Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001414972&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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