Kaltenbacher / Neubauer / Scherzer Iterative Regularization Methods for Nonlinear Ill-Posed Problems

1. Auflage 2008
ISBN: 978-3-11-020827-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 6, 202 Seiten, Gewicht: 10 g

Reihe: Radon Series on Computational and Applied MathematicsISSN

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

Zielgruppe

Researchers, Graduate Students of Mathematics; Academic Libraries

Autoren/Hrsg.

Kaltenbacher, Barbara

Neubauer, Andreas

Scherzer, Otmar

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Inhaltsverzeichnis

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

Über Autor(innen)

Barbara Kaltenbacher, Universität Stuttgart; Andreas Neubauer, Johannes-Kepler-Universität Linz, Österreich; Otmar Scherzer, Universität Linz, Österreich.

Barbara Kaltenbacher, Universität Stuttgart; Andreas Neubauer, Johannes-Kepler-Universität Linz, Österreich; Otmar Scherzer, Universität Linz, Österreich.