Iterative regularization methods for nonlinear ill-posed problems

Kaltenbacher, Barbara3110204207, 9783110204209, 9783110208276

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.

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Table of contents :
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