Theory of Linear Ill-Posed Problems and its Applications / / Valentin K. Ivanov, Vladimir V. Vasin, Vitalii P. Tanana.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the...
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2002 |
| Year of Publication: | 2013 |
| Edition: | Reprint 2013 |
| Language: | English |
| Series: | Inverse and Ill-Posed Problems Series ,
36 |
| Online Access: | |
| Physical Description: | 1 online resource (281 p.) |
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Table of Contents:
- Frontmatter
- Preface to the Second Edition
- Preface
- Contents
- Introduction
- Chapter 1. Well-posedness of problems
- Chapter 2. Regularizing family of operators and sets of uniform regularization
- Chapter 3. Basic techniques for constructing regularizing algorithms
- Chapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation
- Chapter 5. Determination of values of unbounded operators
- Chapter 6. Finite-dimensional approximation of regulirizing algorithms
- Bibliography
- Additional Bibliography to the Second Edition
- Comments to Additional Bibliography
- Index