Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Barbara Kaltenbacher; Andreas Neubauer; Otmar Scherzer

Published by De Gruyter 2008

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Barbara Kaltenbacher , Andreas Neubauer and Otmar Scherzer

Volume 6 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110208276

Overview
Contents

About this book

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 / Editor information

Barbara Kaltenbacher, University Stuttgart; Andreas Neubauer, Johannes-Kepler-University Linz, Austria; Otmar Scherzer, University Linz, Austria.

Reviews

"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."
Thorsten Hohage in: Mathematical Reviews 2010c

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Contents Requires Authentication Unlicensed Licensed Download PDF	vii
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2 Nonlinear Landweber iteration Requires Authentication Unlicensed Licensed Download PDF	5
3 Modified Landweber methods Requires Authentication Unlicensed Licensed Download PDF	30
4 Newton type methods Requires Authentication Unlicensed Licensed Download PDF	64
5 Multilevel methods Requires Authentication Unlicensed Licensed Download PDF	134
6 Level set methods Requires Authentication Unlicensed Licensed Download PDF	150
7 Applications Requires Authentication Unlicensed Licensed Download PDF	170
8 Comments Requires Authentication Unlicensed Licensed Download PDF	181
Backmatter Requires Authentication Unlicensed Licensed Download PDF	183

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers, Graduate Students of Mathematics; Academic Libraries
Pages
- Front matter: 8
- Main content: 194
Keywords: Nonlinear Ill-Posed Problems; Nonlinear Inverse Problems; Iterative Regularization

eBook

Published: September 25, 2008
ISBN: 9783110208276

Hardcover

Published: May 20, 2008
ISBN: 9783110204209