Generalized inverses of linear operators: representation and approximation
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Dekker
1977
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| Series: | Pure and applied mathematics
37 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 165 S. graph. Darst. |
| ISBN: | 0824766156 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Titel: Generalized inverses of linear operators
Autor: Groetsch, Charles W
Jahr: 1977
CONTENTS I HILBERT SPACE AND HILBERT SPACE OPERATORS § 1 Hilbert space------------------------------ 1 § 2 Linear operators--------------------------- 9 § 3 Spectral theory---------------------------- 17 § 4 Differentiation---------------------------- 24 Exercises---------------------------------- 32 II GENERALIZED INVERSES OF BOUNDED LINEAR OPERATORS WITH CLOSED RANGE § 1 Definition and basic properties------------ 37 § 2 Other definitions------------------ 47 § 3 A representation theorem and applications-- 54 1. An operator-valued integral representation------------------------- 59 2. An iterative method-------------------- 62 3. An analog of Schulz s method----------- 69 4. Hyperpower methods--------------------- 71 5. Tihonov regularization----------------- 74 6. A method based on interpolatory function theory------------------------ 76 7. Other representations------------------ 81 § 4 Steepest descent--------------------------- 82 § 5 The conjugate gradient method-------------- 90 Exercises---------------------------------- 110 III GENERALIZED INVERSES OF BOUNDED LINEAR OPERATORS WITH ARBITRARY RANGE § 1 Definition and basic properties------------ 113 vi i
VI 11 CONTENTS § 2 A representation theorem------------------ 119 § 3 Steepest descent-------------------------- 124 § 4 The conjugate gradient method------------- 130 Exercises--------------------------------- 143 BIBLIOGRAPHY..................................... 145 INDEX OF SYMBOLS..................................... 162 SUBJECT INDEX................-....................... 163
|
| any_adam_object | 1 |
| author | Groetsch, Charles W. |
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| ctrlnum | (OCoLC)2837742 (DE-599)BVBBV001975474 |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.72 |
| dewey-sort | 3515 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:13Z |
| institution | BVB |
| isbn | 0824766156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001288479 |
| oclc_num | 2837742 |
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| physical | VIII, 165 S. graph. Darst. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Dekker |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Groetsch, Charles W. Verfasser aut Generalized inverses of linear operators representation and approximation C. W. Groetsch New York u.a. Dekker 1977 VIII, 165 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 37 Approximation theory Hilbert space Linear operators Generalized inverses Inversenbildung (DE-588)4162230-3 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Verallgemeinerte Inverse (DE-588)4187511-4 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Verallgemeinerte Inverse (DE-588)4187511-4 s DE-604 Approximation (DE-588)4002498-2 s Inversenbildung (DE-588)4162230-3 s Pure and applied mathematics 37 (DE-604)BV000001885 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001288479&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Groetsch, Charles W. Generalized inverses of linear operators representation and approximation Pure and applied mathematics Approximation theory Hilbert space Linear operators Generalized inverses Inversenbildung (DE-588)4162230-3 gnd Linearer Operator (DE-588)4167721-3 gnd Approximation (DE-588)4002498-2 gnd Verallgemeinerte Inverse (DE-588)4187511-4 gnd |
| subject_GND | (DE-588)4162230-3 (DE-588)4167721-3 (DE-588)4002498-2 (DE-588)4187511-4 |
| title | Generalized inverses of linear operators representation and approximation |
| title_auth | Generalized inverses of linear operators representation and approximation |
| title_exact_search | Generalized inverses of linear operators representation and approximation |
| title_full | Generalized inverses of linear operators representation and approximation C. W. Groetsch |
| title_fullStr | Generalized inverses of linear operators representation and approximation C. W. Groetsch |
| title_full_unstemmed | Generalized inverses of linear operators representation and approximation C. W. Groetsch |
| title_short | Generalized inverses of linear operators |
| title_sort | generalized inverses of linear operators representation and approximation |
| title_sub | representation and approximation |
| topic | Approximation theory Hilbert space Linear operators Generalized inverses Inversenbildung (DE-588)4162230-3 gnd Linearer Operator (DE-588)4167721-3 gnd Approximation (DE-588)4002498-2 gnd Verallgemeinerte Inverse (DE-588)4187511-4 gnd |
| topic_facet | Approximation theory Hilbert space Linear operators Generalized inverses Inversenbildung Linearer Operator Approximation Verallgemeinerte Inverse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001288479&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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