Iterative Regularization Methods for Nonlinear Ill-Posed Problems / / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Kaltenbacher, Barbara,; Neubauer, Andreas,; Scherzer, Otmar,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2008]; ©2008
• Year of Publication: 2008
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 6
• Physical Description: 1 online resource (194 p.)

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

Table of Contents

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