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Book synopsis

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 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Iterative Regularization Methods for Nonlinear Ill-Posed Problems
• Author: Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer
• Language: English
• Binding: Hardback
• Number of pages: 202
• EAN: 9783110204209
• ISBN: 3110204207
• ID: 09252442
• Publisher: De Gruyter
• Weight: 532 g
• Dimensions: 178 × 251 × 20 mm
• Date of publishing: 20. May 2008

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