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

• Autore: Ivanov Valentin Konstantinovich
• Pubblicazione: Utrecht ; ; Boston : , : VSP, , 2002
• Edizione: Reprint 2013
• Descrizione fisica: 1 online resource (295 p.)
• Disciplina: 295
• Soggetto topico: Operator equations; Integral operators; Numerical analysis - Improperly posed problems
• Soggetto non controllato: Banach spaces; Error Estimation; Hilbert Spaces; Linear Ill-posed Problems; Optimality Method; Sets of Uniform Regularization
• Altri autori: VasinV. V TananaVitaliĭ Pavlovich
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages [243]-277) and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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.
• Titolo autorizzato: Theory of linear ill-posed problems and its applications
• ISBN: 3-11-094482-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910824743103321
• Lo trovi qui: Univ. Federico II
• Serie: Inverse and Ill-Posed Problems Series