03786nam 2200769 450 991078909080332120230607232339.03-11-094482-010.1515/9783110944822(CKB)3390000000034976(EBL)3043911(OCoLC)922947144(SSID)ssj0000849511(PQKBManifestationID)11966516(PQKBTitleCode)TC0000849511(PQKBWorkID)10814141(PQKB)10337745(MiAaPQ)EBC3043911(DE-B1597)57163(OCoLC)1013961424(OCoLC)853265844(DE-B1597)9783110944822(Au-PeEL)EBL3043911(CaPaEBR)ebr10776881(EXLCZ)99339000000003497620021011d2002 uy| 0engur|n|---|||||txtccrTheory of linear ill-posed problems and its applications /V.K. Ivanov, V.V. Vasin and V.P. TananaReprint 2013Utrecht ;Boston :VSP,2002.1 online resource (295 p.)Inverse and Ill-Posed Problems Series ;36Inverse and ill-posed problems seriesDescription based upon print version of record.3-11-062726-4 90-6764-367-X Includes bibliographical references (pages [243]-277) and index.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 -- IndexThis 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. Inverse and Ill-Posed Problems SeriesOperator equationsIntegral operatorsNumerical analysisImproperly posed problemsBanach spaces.Error Estimation.Hilbert Spaces.Linear Ill-posed Problems.Optimality Method.Sets of Uniform Regularization.Operator equations.Integral operators.Numerical analysisImproperly posed problems.295Ivanov Valentin Konstantinovich1465876Vasin V. V535686Tanana Vitaliĭ Pavlovich1465877MiAaPQMiAaPQMiAaPQBOOK9910789090803321Theory of linear ill-posed problems and its applications3676118UNINA