Regularization of inverse problems
Author(s)
Bibliographic Information
Regularization of inverse problems
（Mathematics and its applications, v. 375）
Kluwer Academic Publishers, c2000
- :hb
- : pbk
Available at / 19 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkENG||14||1||複本00032898
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Note
Includes bibliographical references (p. 299-318) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface. 1. Introduction: Examples of Inverse Problems. 2. Ill-Posed Linear Operator Equations. 3. Regularization Operators. 4. Continuous Regularization Methods. 5. Tikhonov Regularization. 6. Iterative Regularization Methods. 7. The Conjugate Gradient Method. 8. Regularization with Differential Operators. 9. Numerical Realization. 10. Tikhonov Regularization of Nonlinear Problems. 11. Iterative Methods for Nonlinear Problems. A. Appendix: A.1. Weighted Polynomial Minimization Problems. A.2. Orthogonal Polynomials. A.3. Christoffel Functions. Bibliography. Index.
by "Nielsen BookData"