Iterative Regularization Methods for Nonlinear Ill-Posed Problems

Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Author: Barbara Kaltenbacher
Publisher: Walter de Gruyter
Total Pages: 205
Release: 2008-09-25
Genre: Mathematics
ISBN: 311020827X

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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.


Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Language: en
Pages: 205
Authors: Barbara Kaltenbacher
Categories: Mathematics
Type: BOOK - Published: 2008-09-25 - Publisher: Walter de Gruyter

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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 pe
Regularization Algorithms for Ill-Posed Problems
Language: en
Pages: 447
Authors: Anatoly B. Bakushinsky
Categories: Mathematics
Type: BOOK - Published: 2018-02-05 - Publisher: Walter de Gruyter GmbH & Co KG

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This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, b
Iterative Methods for Ill-Posed Problems
Language: en
Pages: 153
Authors: Anatoly B. Bakushinsky
Categories: Mathematics
Type: BOOK - Published: 2010-12-23 - Publisher: Walter de Gruyter

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Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modele
Numerical Regularization for Atmospheric Inverse Problems
Language: en
Pages: 432
Authors: Adrian Doicu
Categories: Science
Type: BOOK - Published: 2010-07-16 - Publisher: Springer Science & Business Media

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The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under
Handbook of Mathematical Methods in Imaging
Language: en
Pages: 1626
Authors: Otmar Scherzer
Categories: Mathematics
Type: BOOK - Published: 2010-11-23 - Publisher: Springer Science & Business Media

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The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is group