03167nam 2200781Ia 450 991082021860332120200520144314.01-282-19699-597866121969973-11-020827-X10.1515/9783110208276(CKB)1000000000691490(EBL)364695(OCoLC)476197162(SSID)ssj0000184556(PQKBManifestationID)11182382(PQKBTitleCode)TC0000184556(PQKBWorkID)10201283(PQKB)10962916(MiAaPQ)EBC364695(DE-B1597)34864(OCoLC)1002222246(OCoLC)1004866886(OCoLC)1011438868(OCoLC)979584090(OCoLC)987921627(OCoLC)992492690(OCoLC)999354823(DE-B1597)9783110208276(Au-PeEL)EBL364695(CaPaEBR)ebr10256640(CaONFJC)MIL219699(PPN)175536872(EXLCZ)99100000000069149020080616d2008 uy 0engur|||||||||||txtccrIterative regularization methods for nonlinear iII-posed problems /Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer1st ed.Berlin ;New York Walter de Gruyterc20081 online resource (204 p.)Radon series on computational and applied mathematics ;6Description based upon print version of record.3-11-020420-7 Includes bibliographical references and index. Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- BackmatterNonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.Radon series on computational and applied mathematics ;6.Differential equations, PartialImproperly posed problemsIterative methods (Mathematics)Differential equations, PartialImproperly posed problems.Iterative methods (Mathematics)515.7620.402/2SK 910rvkKaltenbacher Barbara981432Neubauer Andreas1713345Scherzer Otmar1964-67379MiAaPQMiAaPQMiAaPQBOOK9910820218603321Iterative regularization methods for nonlinear iII-posed problems4106266UNINA