03597nam 2200709 450 991046365140332120200520144314.03-11-094482-010.1515/9783110944822(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 problemsElectronic books.Operator equations.Integral operators.Numerical analysisImproperly posed problems.295Ivanov Valentin Konstantinovich1045348Vasin V. V535686Tanana Vitaliì† Pavlovich1045349MiAaPQMiAaPQMiAaPQBOOK9910463651403321Theory of linear ill-posed problems and its applications2471568UNINA01317nam0 2200301 i 450 VAN005131320240202090214.13004-86275-93-0978-04-86275-93-220060906d1993 |0itac50 baengUS|||| |||||Mathematical magicWilliam Simonpreface by Martin GardnerNew YorkDover1993187 p.ill.22 cm001VAN00747492001 Dover books on mathematical and word recreations210 New YorkDover00A08Recreational mathematics [MSC 2020]VANC022171MFUSNew YorkVANL000011SimonWilliamVANV040288248768Dover <editore>VANV108158650ITSOL20240209RICAhttps://books.google.it/books?id=pUjQ7-jVuSgC&pg=PA76&dq=9780486275932&hl=it&sa=X&ved=0ahUKEwjk9t-l2q_aAhWMDywKHQoTBnoQuwUILTAA#v=onepage&q=9780486275932&f=falsePreviewBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08VAN0051313BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 00-XX 4067 08 3630 I 20060906 Mathematical magic1427548UNICAMPANIA