Regularization for Applied Inverse and Ill-Posed Problems

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Release : 2013-11-22
Genre : Technology & Engineering
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Book Rating : 343/5 ( reviews)

Regularization for Applied Inverse and Ill-Posed Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularization for Applied Inverse and Ill-Posed Problems write by . This book was released on 2013-11-22. Regularization for Applied Inverse and Ill-Posed Problems available in PDF, EPUB and Kindle.

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

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Release : 2008-09-25
Genre : Mathematics
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Book Rating : 27X/5 ( reviews)

Iterative Regularization Methods for Nonlinear Ill-Posed Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterative Regularization Methods for Nonlinear Ill-Posed Problems write by Barbara Kaltenbacher. This book was released on 2008-09-25. Iterative Regularization Methods for Nonlinear Ill-Posed Problems available in PDF, EPUB and Kindle. 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.

Regularization of Inverse Problems

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Release : 2000-03-31
Genre : Mathematics
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Book Rating : 404/5 ( reviews)

Regularization of Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularization of Inverse Problems write by Heinz Werner Engl. This book was released on 2000-03-31. Regularization of Inverse Problems available in PDF, EPUB and Kindle. This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Regularization Algorithms for Ill-Posed Problems

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Release : 2018-02-05
Genre : Mathematics
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Book Rating : 383/5 ( reviews)

Regularization Algorithms for Ill-Posed Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularization Algorithms for Ill-Posed Problems write by Anatoly B. Bakushinsky. This book was released on 2018-02-05. Regularization Algorithms for Ill-Posed Problems available in PDF, EPUB and Kindle. This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. Contents Introduction Regularization Methods For Linear Equations Finite Difference Methods Iterative Regularization Methods Finite-Dimensional Iterative Processes Variational Inequalities and Optimization Problems

Regularization Theory for Ill-posed Problems

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Release : 2013-07-31
Genre : Mathematics
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Book Rating : 491/5 ( reviews)

Regularization Theory for Ill-posed Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regularization Theory for Ill-posed Problems write by Shuai Lu. This book was released on 2013-07-31. Regularization Theory for Ill-posed Problems available in PDF, EPUB and Kindle. This monograph is a valuable contribution to the highly topical and extremly productive field of regularisation methods for inverse and ill-posed problems. The author is an internationally outstanding and accepted mathematician in this field. In his book he offers a well-balanced mixture of basic and innovative aspects. He demonstrates new, differentiated viewpoints, and important examples for applications. The book demontrates the current developments in the field of regularization theory, such as multiparameter regularization and regularization in learning theory. The book is written for graduate and PhD students and researchers in mathematics, natural sciences, engeneering, and medicine.