Methods for solving operator equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Utrecht
VSP
1997
|
| Edition: | 1. publ. |
| Series: | Inverse and ill-posed problems series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 223 S. |
| ISBN: | 9067642371 |
Staff View
MARC
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Record in the Search Index
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| adam_text | INVERSE AND ILL-POSED PROBLEMS SERIES METHODS FOR SOLVING OPERATOR
EQUATIONS V.P. TANANA ///VSP/// UTRECHT, THE NETHERLANDS, 1997 CONTENTS
PREFACE 3 INTRODUCTION 7 1 REGULARIZATION OF LINEAR OPERATOR EQUATIONS.
11 §1.1 CLASSIFICATION OF ILL-POSED PROBLEMS AND THE CONCEPT OF THE
OPTIMAL METHOD 11 §1.2 THE ESTIMATE FROM BELOW FOR A OPT 13 §1.3 THE
ERROR OF THE REGULARIZATION METHOD 20 §1.4 THE ALGORITHMIC PECULIARITIES
OF THE GENERALIZED RESIDUAL PRINCIPLE 29 §1.5 THE ERROR OF THE
QUASI-SOLUTIONS METHOD 47 §1.6 THE REGULARIZATION METHOD WITH THE
PARAMETER A CHOSEN BY THE RESIDUAL 51 §1.7 THE PROJECTION REGULARIZATION
METHOD 59 §1.8 ON THE CHOICE OF THE OPTIMAL REGULARIZATION PARAMETER. .
62 §1.9 OPTIMAL METHODS FOR SOLVING UNSTABLE PROBLEMS WITH AD- DITIONAL
INFORMATION ON THE OPERATOR A 69 §1.10 ON THE REGULARIZATION OF OPERATOR
EQUATIONS OF THE FIRST KIND WITH THE APPROXIMATELY GIVEN OPERATOR AND ON
THE CHOICE OF THE REGULARIZATION PARAMETER 82 §1.11 THE GENERALIZED
RESIDUAL PRINCIPLE 102 §1.12THE OPTIMUM OF THE GENERALIZED RESIDUAL
PRINCIPLE 114 2 FINITE - DIMENSIONAL METHODS OF CONSTRUCTING REGULAR-
IZED SOLUTIONS. 119 §2.1 THE NOTION OF R-UNIFORM CONVERGENCE OF LINEAR
OPERATORS. 119 1 §2.2 THE GENERAL SCHEME OF FINITE-DIMENSIONAL
APPROXIMATION IN IHE REGULARIZATION METHOD 124 §2.3 APPLICATION OF THE
GENERAL SCHEME TO THE PROJECTION AND FINITE DIFFERENCE METHODS 131 §2.4
THE GENERAL SCHEME OF FINITE-DIMENSIONAL APPROXIMATION IN THE
GENERALIZED RESIDUAL METHOD 135 §2.5 THE ITERATIVE METHOD FOR
DETERMINING THE FINITE-DIMEN- SIONAL APPROXIMATION IN THE GENERALIZED
RESIDUAL PRINCIPLE 142 §2.6 THE GENERAL SCHEME OF FINITE-DIMENSIONAL
APPROXIMATIONS IN THE QUASI-SOLUTION METHOD 150 §2.7 THE NECESSARY AND
SUFFICIENT CONDITIONS FOR THE CONVER- GENCE OF FINITE-DIMENSIONAL
APPROXIMATIONS IN THE REGU- LARIZATION METHOD 156 §2.8 ON THE
DISCRETIZATION THE OFVARIATIONAL PROBLEM (1.11.5). . 159 §2.9
FINITE*DIMENSIONAL APPROXIMATION OF REGULARIZED SOLU- TIONS 165
§2.10APPLICATION 171 3 REGULARIZATION OF NONLINEAR OPERATOR EQUATIONS.
175 §3.1 APPROXIMATE SOLUTION OF NONLINEAR OPERATOR EQUATIONS WITH A
DISTURBED OPERATOR BY THE REGULARIZATION METHOD. 175 §3.2 APPROXIMATE
SOLUTION OF IMPLICIT OPERATOR EQUATIONS OF THE FIRST KIND BY THE
REGULARIZATION METHOD . 184 §3.3 OPTIMAL BY THE ORDER METHOD FOR SOLVING
NONLINEAR UN- STABLE PROBLEMS 192 BIBLIOGRAPHY 209
|
| any_adam_object | 1 |
| author | Tanana, Vitalij Pavlovič |
| author_GND | (DE-588)124630928 |
| author_facet | Tanana, Vitalij Pavlovič |
| author_role | aut |
| author_sort | Tanana, Vitalij Pavlovič |
| author_variant | v p t vp vpt |
| building | Verbundindex |
| bvnumber | BV012114131 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)439096685 (DE-599)BVBBV012114131 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV012114131 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:21:55Z |
| institution | BVB |
| isbn | 9067642371 |
| language | English |
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| oclc_num | 439096685 |
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| owner_facet | DE-739 DE-83 |
| physical | 223 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | VSP |
| record_format | marc |
| series2 | Inverse and ill-posed problems series |
| spelling | Tanana, Vitalij Pavlovič Verfasser (DE-588)124630928 aut Methods for solving operator equations V. P. Tanana 1. publ. Utrecht VSP 1997 223 S. txt rdacontent n rdamedia nc rdacarrier Inverse and ill-posed problems series operator equations - ill-posed problems operatorske enačbe - nekorektni problemi GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008202850&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tanana, Vitalij Pavlovič Methods for solving operator equations operator equations - ill-posed problems operatorske enačbe - nekorektni problemi |
| title | Methods for solving operator equations |
| title_auth | Methods for solving operator equations |
| title_exact_search | Methods for solving operator equations |
| title_full | Methods for solving operator equations V. P. Tanana |
| title_fullStr | Methods for solving operator equations V. P. Tanana |
| title_full_unstemmed | Methods for solving operator equations V. P. Tanana |
| title_short | Methods for solving operator equations |
| title_sort | methods for solving operator equations |
| topic | operator equations - ill-posed problems operatorske enačbe - nekorektni problemi |
| topic_facet | operator equations - ill-posed problems operatorske enačbe - nekorektni problemi |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008202850&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT tananavitalijpavlovic methodsforsolvingoperatorequations |