Regularization of inverse problems
 |
|
Описание:
Driven by the needs of applications both in sciences and in industry, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics recently. This book starts with an overview over some classes of inverse problems of practical interest. Inverse problems typically lead to mathematical models that are ill-posed in the sense of Hadamard. Especially, their solution is unstable under data perturbations, so that special numerical methods that can cope with these instabilities, so-called regularization methods, have to be developed. This book is devoted to the mathematical theory of regularization methods and is intended to give an up-to-date account of the currently available results about regularization methods both for linear and for 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. Audience: This book, which can be read by students with a basic knowledge of functional analysis, should be useful both to mathematicians and to scientists and engineers who deal with inverse problems in their fields. It can be used as a text for a graduate course on inverse problems and will also be useful to specialists in the field as a reference work.Похожие книги
 | English grammar in use: a self-study guide Автор: Raymond Murphy Год: 1994 |
 | Math into LATEX: An Introduction to LATEX and AMS-LATEX Автор: George Grätzer Год: 1995 |
| Fiberglass Reinforced Plastics Автор: Cheremisinoff N. P., Cheremisinoff P. N. Год: 1995 |
| Digital Filters Design for Signal and Image Processing Автор: Najim M. Год: 2008 |
| PHP 5 Recipes: A Problem-solution Approach Автор: Babin L., Good N., Kromann F. Год: 2005 |
 | BUSINESS FINANCE Автор: Gregory Namusonge Год: 2010 |