Iterative Regularization Methods for Nonlinear Ill-Posed Problems / / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer.
Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which a...
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2008] ©2008 |
Year of Publication: | 2008 |
Language: | English |
Series: | Radon Series on Computational and Applied Mathematics ,
6 |
Online Access: | |
Physical Description: | 1 online resource (194 p.) |
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Other title: | Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- Backmatter |
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Summary: | Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods. Nonlinear inverse problems result from many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods. From the contents: Nonlinear Landweber iteration Modified Landweber methods Newton type methods Multilevel methods Level set methods Applications |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110208276 9783110238570 9783110238471 9783110637205 9783110212129 9783110212136 9783110209082 9783110647174 |
ISSN: | 1865-3707 ; |
DOI: | 10.1515/9783110208276 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer. |