Regularization algorithms for ill-posed problems:
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2018]
|
Schriftenreihe: | Inverse and ill-posed problems series
volume 61 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110556308&searchTitles=true Inhaltsverzeichnis |
Beschreibung: | XVI, 323 Seiten Diagramme |
ISBN: | 9783110556308 9783110557367 |
Internformat
MARC
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100 | 1 | |a Bakušinskij, Anatolij Borisovič |d 1937- |e Verfasser |0 (DE-588)1067947663 |4 aut | |
245 | 1 | 0 | |a Regularization algorithms for ill-posed problems |c Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Mikhail M. Kokurin |
264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2018] | |
300 | |a XVI, 323 Seiten |b Diagramme | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Inverse and ill-posed problems series |v volume 61 | |
650 | 0 | 7 | |a Operatorgleichung |0 (DE-588)4043601-9 |2 gnd |9 rswk-swf |
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650 | 0 | 7 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |2 gnd |9 rswk-swf |
653 | |a Inkorrekt gestelltes Problem | ||
653 | |a Inverses Problem | ||
653 | |a Iteration | ||
653 | |a Operatorgleichung | ||
653 | |a Regularisierungsverfahren | ||
689 | 0 | 0 | |a Operatorgleichung |0 (DE-588)4043601-9 |D s |
689 | 0 | 1 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |D s |
689 | 0 | 2 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |D s |
689 | 1 | 1 | |a Algorithmus |0 (DE-588)4001183-5 |D s |
689 | 1 | |8 1\p |5 DE-604 | |
700 | 1 | |a Kokurin, Michail Ju. |e Verfasser |4 aut | |
700 | 1 | |a Kokurin, Mikhail M. |e Verfasser |4 aut | |
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Datensatz im Suchindex
_version_ | 1804178766405042176 |
---|---|
adam_text | CONTENTS
PREFACE
1
1.1
1.2
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
3
3.1
3.2
3.3
3.4
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9
5
5.1
5.2
5.3
5.4
5.5
----
VII
INTRODUCTION * 1
PRELIMINARIES * 1
BASIC CONCEPTS OF THE III-POSED PROBLEMS THEORY * 14
REGULARIZATION METHODS FOR LINEAR EQUATIONS
* 20
LINEAR EQUATIONS IN HILBERT SPACE * 21
REGULARIZATION ALGORITHMS IN BANACH SPACE
----
37
NECESSITY OF SOURCEWISE REPRESENTATION IN BANACH SPACE * 45
ILL-POSED CAUCHY PROBLEM IN BANACH SPACE * 74
LOGARITHMIC CONVERGENCE OF SOLUTION METHODS FOR CAUCHY
PROBLEMS
----
77
NECESSARY CONDITIONS FOR LOGARITHMIC ESTIMATES
----
87
LINEAR III-POSED PROBLEMS UNDER RANDOM NOISE
----
96
FINITE DIFFERENCE METHODS
* 101
SCALAR CAUCHY PROBLEM * 102
FINITE DIFFERENCE REGULARIZATION METHODS IN BANACH SPACE * 110
POWER RATE OF CONVERGENCE ESTIMATES * 126
NECESSITY OF THE SOURCE CONDITION * 134
ITERATIVE REGULARIZATION METHODS
* 144
PARAMETRIC APPROXIMATION * 145
REGULARIZED GAUSS-NEWTON METHODS * 153
NECESSITY OF SOURCEWISE REPRESENTATION IN HILBERT SPACE * 163
REGULARIZED NEWTON-KANTOROVICH METHODS
----
171
NECESSITY OF SOURCEWISE REPRESENTATION IN BANACH SPACE * 179
ITERATIVELY REGULARIZED GRADIENT METHOD * 184
REGULARIZED ITERATIVE METHODS UNDER LARGE NOISE * 191
ITERATIVELY REGULARIZED METHODS UNDER RANDOM NOISE * 204
CONVEXITY OF TIKHONOV FUNCTIONAL
----
211
FINITE-DIMENSIONAL ITERATIVE PROCESSES
* 226
ADAPTIVE CHOICE OF PROJECTORS * 227
A PRIORI CHOICE OF PROJECTORS * 239
CLASS OF STABLE ITERATIVE METHODS
----
242
A POSTERIORI ESTIMATES * 251
CONDITIONALLY WELL-POSED INVERSE PROBLEMS * 254
6 VARIATIONAL INEQUALITIES AND OPTIMIZATION PROBLEMS * 269
6.1 BROWDER-TIKHONOV REGULARIZATION * 269
6.2 SIMPLE ITERATION METHOD AND NEWTON-KANTOROVICH TYPE METHOD * 277
6.3 ITERATIVE REGULARIZATION METHODS FOR NOISY DATA * 284
6.4 VARIATIONAL INEQUALITIES ON A BALL
----
288
6.5 TIKHONOV REGULARIZATION OF ILL-POSED OPTIMIZATION PROBLEMS * 296
6.6 PURELY DATA-DRIVEN REGULARIZATION ALGORITHMS * 303
BIBLIOGRAPHY * 315
INDEX * 321
|
any_adam_object | 1 |
author | Bakušinskij, Anatolij Borisovič 1937- Kokurin, Michail Ju Kokurin, Mikhail M. |
author_GND | (DE-588)1067947663 |
author_facet | Bakušinskij, Anatolij Borisovič 1937- Kokurin, Michail Ju Kokurin, Mikhail M. |
author_role | aut aut aut |
author_sort | Bakušinskij, Anatolij Borisovič 1937- |
author_variant | a b b ab abb m j k mj mjk m m k mm mmk |
building | Verbundindex |
bvnumber | BV045118629 |
classification_rvk | SK 920 |
ctrlnum | (OCoLC)1077532853 (DE-599)DNB1137845937 |
dewey-full | 518.1 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 518 - Numerical analysis |
dewey-raw | 518.1 |
dewey-search | 518.1 |
dewey-sort | 3518.1 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV045118629 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T08:09:11Z |
institution | BVB |
institution_GND | (DE-588)10095502-2 |
isbn | 9783110556308 9783110557367 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030508796 |
oclc_num | 1077532853 |
open_access_boolean | |
owner | DE-703 |
owner_facet | DE-703 |
physical | XVI, 323 Seiten Diagramme |
publishDate | 2018 |
publishDateSearch | 2018 |
publishDateSort | 2018 |
publisher | De Gruyter |
record_format | marc |
series | Inverse and ill-posed problems series |
series2 | Inverse and ill-posed problems series |
spelling | Bakušinskij, Anatolij Borisovič 1937- Verfasser (DE-588)1067947663 aut Regularization algorithms for ill-posed problems Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Mikhail M. Kokurin Berlin ; Boston De Gruyter [2018] XVI, 323 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Inverse and ill-posed problems series volume 61 Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Regularisierungsverfahren (DE-588)4846428-4 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd rswk-swf Inkorrekt gestelltes Problem Inverses Problem Iteration Operatorgleichung Regularisierungsverfahren Operatorgleichung (DE-588)4043601-9 s Inkorrekt gestelltes Problem (DE-588)4186951-5 s Regularisierungsverfahren (DE-588)4846428-4 s DE-604 Algorithmus (DE-588)4001183-5 s 1\p DE-604 Kokurin, Michail Ju. Verfasser aut Kokurin, Mikhail M. Verfasser aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Elektronische Reproduktion 9783110556384 Elektronische Reproduktion 9783110557350 Erscheint auch als Online-Ausgabe, PDF 978-3-11-055735-0 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-055638-4 Inverse and ill-posed problems series volume 61 (DE-604)BV037286556 61 B:DE-101 application/pdf http://d-nb.info/1137845937/04 Inhaltsverzeichnis X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110556308&searchTitles=true DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030508796&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bakušinskij, Anatolij Borisovič 1937- Kokurin, Michail Ju Kokurin, Mikhail M. Regularization algorithms for ill-posed problems Inverse and ill-posed problems series Operatorgleichung (DE-588)4043601-9 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Algorithmus (DE-588)4001183-5 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
subject_GND | (DE-588)4043601-9 (DE-588)4846428-4 (DE-588)4001183-5 (DE-588)4186951-5 |
title | Regularization algorithms for ill-posed problems |
title_auth | Regularization algorithms for ill-posed problems |
title_exact_search | Regularization algorithms for ill-posed problems |
title_full | Regularization algorithms for ill-posed problems Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Mikhail M. Kokurin |
title_fullStr | Regularization algorithms for ill-posed problems Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Mikhail M. Kokurin |
title_full_unstemmed | Regularization algorithms for ill-posed problems Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Mikhail M. Kokurin |
title_short | Regularization algorithms for ill-posed problems |
title_sort | regularization algorithms for ill posed problems |
topic | Operatorgleichung (DE-588)4043601-9 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Algorithmus (DE-588)4001183-5 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
topic_facet | Operatorgleichung Regularisierungsverfahren Algorithmus Inkorrekt gestelltes Problem |
url | http://d-nb.info/1137845937/04 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110556308&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030508796&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV037286556 |
work_keys_str_mv | AT bakusinskijanatolijborisovic regularizationalgorithmsforillposedproblems AT kokurinmichailju regularizationalgorithmsforillposedproblems AT kokurinmikhailm regularizationalgorithmsforillposedproblems AT walterdegruytergmbhcokg regularizationalgorithmsforillposedproblems |
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