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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

Produktbeschreibung
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
Autorenporträt
Barbara Kaltenbacher, University Stuttgart; Andreas Neubauer, Johannes-Kepler-University Linz, Austria; Otmar Scherzer, University Linz, Austria.
Rezensionen
"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."
Thorsten Hohage in: Mathematical Reviews 2010c