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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.
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Iterative regularization methods for nonlinear ill posed problems, Barbara Kaltenbacher
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- 2008
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