Theory of linear ill-posed problems and its applications / V.K. Ivanov, V.V. Vasin and V.P. Tanana.

Format:

Book

Author/Creator:

Ivanov, Valentin Konstantinovich.

Contributor:

Vasin, V. V.

Tanana, V. P. (Vitaliĭ Pavlovich)

Series:

Inverse and Ill-Posed Problems Series

Inverse and ill-posed problems series

Inverse and Ill-Posed Problems Series ; 36

Standardized Title:

Teorii͡a lineĭnykh nekorrektnykh zadach i ee prilozhenii͡a. English

Language:

English

Subjects (All):

Operator equations.

Integral operators.

Numerical analysis--Improperly posed problems.

Numerical analysis.

Physical Description:

1 online resource (295 p.)

Edition:

Reprint 2013

Place of Publication:

Utrecht ; Boston : VSP, 2002.

Language Note:

English

Summary:

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 book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.

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

Notes:

Description based upon print version of record.

Includes bibliographical references (pages [243]-277) and index.

Description based on print version record.

ISBN:

9783110944822

3110944820

OCLC:

922947144