03235nam 22007215 450 991048320680332120200704235651.09786610700790978128070079812807007939783540399438354039943710.1007/3-540-39942-9(CKB)1000000000282938(EBL)3036512(SSID)ssj0000250377(PQKBManifestationID)11239803(PQKBTitleCode)TC0000250377(PQKBWorkID)10231615(PQKB)11022117(DE-He213)978-3-540-39943-8(MiAaPQ)EBC3036512(MiAaPQ)EBC6284304(PPN)123156955(EXLCZ)99100000000028293820100301d2007 u| 0engur|n|---|||||txtccrStable Approximate Evaluation of Unbounded Operators /by Charles W. Groetsch1st ed. 2007.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2007.1 online resource (133 p.)Lecture Notes in Mathematics,0075-8434 ;1894Description based upon print version of record.9783540399421 3540399429 Includes bibliographical references (pages [121]-123) and index.Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations.Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.Lecture Notes in Mathematics,0075-8434 ;1894Operator theoryNumerical analysisOperator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Operator theory.Numerical analysis.Operator Theory.Numerical Analysis.515.724631.46bclMAT 470fstubSI 850rvkGroetsch Charles Wauthttp://id.loc.gov/vocabulary/relators/aut27779MiAaPQMiAaPQMiAaPQBOOK9910483206803321Stable approximate evaluation of unbounded operators230552UNINA