LEADER 03178nam 22006855 450 001 996466664603316 005 20200704235651.0 010 $a1-280-70079-3 010 $a9786610700790 010 $a3-540-39943-7 024 7 $a10.1007/3-540-39942-9 035 $a(CKB)1000000000282938 035 $a(EBL)3036512 035 $a(SSID)ssj0000250377 035 $a(PQKBManifestationID)11239803 035 $a(PQKBTitleCode)TC0000250377 035 $a(PQKBWorkID)10231615 035 $a(PQKB)11022117 035 $a(DE-He213)978-3-540-39943-8 035 $a(MiAaPQ)EBC3036512 035 $a(MiAaPQ)EBC6284304 035 $a(PPN)123156955 035 $a(EXLCZ)991000000000282938 100 $a20100301d2007 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStable Approximate Evaluation of Unbounded Operators$b[electronic resource] /$fby Charles W. Groetsch 205 $a1st ed. 2007. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2007. 215 $a1 online resource (133 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1894 300 $aDescription based upon print version of record. 311 $a3-540-39942-9 320 $aIncludes bibliographical references (pages [121]-123) and index. 327 $aSome Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations. 330 $aSpectral theory of bounded linear operators teams up with von Neumann?s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1894 606 $aOperator theory 606 $aNumerical analysis 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aOperator theory. 615 0$aNumerical analysis. 615 14$aOperator Theory. 615 24$aNumerical Analysis. 676 $a515.7246 686 $a31.46$2bcl 686 $aMAT 470f$2stub 686 $aSI 850$2rvk 700 $aGroetsch$b Charles W$4aut$4http://id.loc.gov/vocabulary/relators/aut$027779 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466664603316 996 $aStable approximate evaluation of unbounded operators$9230552 997 $aUNISA