Holdings: Regularization algorithms for ill-posed problems

Regularization algorithms for ill-posed problems:

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Bibliographic Details
Main Authors:	Bakušinskij, Anatolij Borisovič 1937- (Author), Kokurin, Michail Ju (Author), Kokurin, Mikhail M. (Author)
Format:	Book
Language:	English
Published:	Berlin ; Boston De Gruyter [2018]
Series:	Inverse and ill-posed problems series volume 61
Subjects:	Operatorgleichung Regularisierungsverfahren Algorithmus Inkorrekt gestelltes Problem Inverses Problem Iteration
Online Access:	Inhaltsverzeichnis http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110556308&searchTitles=true Inhaltsverzeichnis
Physical Description:	XVI, 323 Seiten Diagramme
ISBN:	9783110556308 9783110557367

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MARC


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Record in the Search Index

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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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institution	BVB
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isbn	9783110556308 9783110557367
language	English
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physical	XVI, 323 Seiten Diagramme
publishDate	2018
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publisher	De Gruyter
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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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