Schur's algorithm and several applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman Scientific & Techn.
1992
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
261 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 190 S. |
| ISBN: | 0582091209 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804119953820876800 |
|---|---|
| adam_text | Contents
PREFACE
CHAPTER 1. SCHUR ALGORITHMS
1.1 The scalar Schur algorithm 3
1.2 Some classical extrapolation problems 7
1.3 A Schur type algorithm for operator valued functions 13
1.4 Discrete transmission lines 21
Notes 23
CHAPTER 2. TWO COMPLETION ALGORITHMS
2.1 The structure of analytic Toeplitz contractions 25
2.2 Connection with Schur s algorithm 31
2.3 The structure of positive Toeplitz matrices 40
2.4 Naimark dilations 46
Notes 60
CHAPTER 3. SPECTRAL FACTORISATIONS
3.1 Factorisation of semispectral measures 61
3.2 Some formulas for spectral factors 75
3.3 Approximation of the spectral factors 79
3.4 Some factorable functions 83
Notes 87
CHAPTER 4. ORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE
4.1 Recurrence formulas 89
4.2 Schur polynomials and Szego polynomials 95
4.3 Szego s theory and generalisations 98
4.4 Szego s limit theorems 109
4.5 Operator valued orthogonal polynomials 116
Notes 123
CHAPTER 5. A FEW ELECTRICAL ENGINEERING APPLICATIONS
5.1 Realisation theory 125
5.2 Darlington synthesis 127
5.3 Stabilising control 131
Notes 134
CHAPTER 6. OTHER COMPLETION PROBLEMS
6.1 The main problem 135
6.2 The Nehari problem 142
6.3 Contractive intertwining dilations 146
6.4 Continuous completion problems 164
Notes 170
APPENDIX. SOME POSITIVE AND CONTRACTIVE STRUCTURES 171
Bibliography 182
Subject Index 188
|
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| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV005769831 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:34:23Z |
| institution | BVB |
| isbn | 0582091209 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003604555 |
| oclc_num | 246852605 |
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| physical | 190 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Longman Scientific & Techn. |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Bakonyi, Mihály Verfasser aut Schur's algorithm and several applications M. Bakonyi and T. Constantinescu 1. publ. Harlow Longman Scientific & Techn. 1992 190 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 261 Schur-Analysis Operatortheorie (DE-588)4075665-8 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Dilatation (DE-588)4149923-2 gnd rswk-swf Schur-Analysis (DE-588)4281622-1 gnd rswk-swf Schur-Analysis (DE-588)4281622-1 s DE-604 Analytische Funktion (DE-588)4142348-3 s Dilatation (DE-588)4149923-2 s Operatortheorie (DE-588)4075665-8 s Constantinescu, Tiberiu Verfasser aut Pitman research notes in mathematics series 261 (DE-604)BV000022845 261 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003604555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bakonyi, Mihály Constantinescu, Tiberiu Schur's algorithm and several applications Pitman research notes in mathematics series Schur-Analysis Operatortheorie (DE-588)4075665-8 gnd Analytische Funktion (DE-588)4142348-3 gnd Dilatation (DE-588)4149923-2 gnd Schur-Analysis (DE-588)4281622-1 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4142348-3 (DE-588)4149923-2 (DE-588)4281622-1 |
| title | Schur's algorithm and several applications |
| title_auth | Schur's algorithm and several applications |
| title_exact_search | Schur's algorithm and several applications |
| title_full | Schur's algorithm and several applications M. Bakonyi and T. Constantinescu |
| title_fullStr | Schur's algorithm and several applications M. Bakonyi and T. Constantinescu |
| title_full_unstemmed | Schur's algorithm and several applications M. Bakonyi and T. Constantinescu |
| title_short | Schur's algorithm and several applications |
| title_sort | schur s algorithm and several applications |
| topic | Schur-Analysis Operatortheorie (DE-588)4075665-8 gnd Analytische Funktion (DE-588)4142348-3 gnd Dilatation (DE-588)4149923-2 gnd Schur-Analysis (DE-588)4281622-1 gnd |
| topic_facet | Schur-Analysis Operatortheorie Analytische Funktion Dilatation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003604555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
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