Iterative Regularization Methods for Nonlinear Ill-Posed Problems by Barbara Kaltenbacher

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Summary

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, that is they are unstable under data perturbations. Those problems require a regularization, that is a special numerical treatment. This book presents regularization schemes which are based on iteration methods.

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Iterative Regularization Methods for Nonlinear Ill-Posed Problems by Barbara Kaltenbacher

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

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

SKU Unavailable
ISBN 13 9783110204209
ISBN 10 3110204207
Title Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Author Barbara Kaltenbacher
Series Radon Series On Computational And Applied Mathematics
Condition Unavailable
Binding Type Hardback
Publisher De Gruyter
Year published 2008-05-20
Number of pages 202
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.