Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika
Beschreibung
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.
Rezensionen
<br><em>Thorsten Hohage in: Mathematical Reviews 2010c</em></p>
<p>"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."
<p>"This well written monograph may become a standard reference on regularization theory for nonlinear inverse problems."
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Schlagwörter
Iterative Regularization, Nonlinear Inverse Problems, Nonlinear Ill-Posed Problems, Iterationsverfahren, Inverses Problem, Nichtlineare Gleichung