Iterative Regularization Methods for Nonlinear Ill-Posed Problems
1st Edition
Published on 25. September 2008
VIII, 194 pages
978-3-11-020827-6 (ISBN)
Description
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.
Reviews / Votes
"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."Thorsten Hohage in: Mathematical Reviews 2010cMore details
Other editions
Additional editions
Barbara Kaltenbacher | Andreas Neubauer | Otmar Scherzer
Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Book
05/2008
1st Edition
De Gruyter
€189.95
Shipment within 7-9 days
Persons
Barbara Kaltenbacher, University Stuttgart; Andreas Neubauer, Johannes-Kepler-University Linz, Austria; Otmar Scherzer, University Linz, Austria.
Content
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
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
