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Iterative regularization methods for nonlinear ill-posed problems

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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.

Author(s): Kaltenbacher, Barbara
Series: Computational and Applied Mathematics
Edition: 1
Publisher: Walter de Gruyter
Year: 2008

Language: English
Pages: 200
Tags: Математика;Вычислительная математика;

Frontmatter
......Page 0
Contents......Page 5
1 Introduction......Page 7
2 Nonlinear Landweber iteration......Page 11
3 Modified Landweber methods......Page 36
4 Newton type methods......Page 70
5 Multilevel methods......Page 140
6 Level set methods......Page 156
7 Applications......Page 176
8 Comments......Page 187
Backmatter
......Page 189