LEADER 03597nam 2200709 450 001 9910463651403321 005 20200520144314.0 010 $a3-11-094482-0 024 7 $a10.1515/9783110944822 035 $a(CKB)3390000000034976 035 $a(EBL)3043911 035 $a(OCoLC)922947144 035 $a(SSID)ssj0000849511 035 $a(PQKBManifestationID)11966516 035 $a(PQKBTitleCode)TC0000849511 035 $a(PQKBWorkID)10814141 035 $a(PQKB)10337745 035 $a(MiAaPQ)EBC3043911 035 $a(DE-B1597)57163 035 $a(OCoLC)1013961424 035 $a(OCoLC)853265844 035 $a(DE-B1597)9783110944822 035 $a(Au-PeEL)EBL3043911 035 $a(CaPaEBR)ebr10776881 035 $a(EXLCZ)993390000000034976 100 $a20021011d2002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTheory of linear ill-posed problems and its applications /$fV.K. Ivanov, V.V. Vasin and V.P. Tanana 205 $aReprint 2013 210 1$aUtrecht ;$aBoston :$cVSP,$d2002. 215 $a1 online resource (295 p.) 225 0 $aInverse and Ill-Posed Problems Series ;$v36 225 0$aInverse and ill-posed problems series 300 $aDescription based upon print version of record. 311 $a3-11-062726-4 311 $a90-6764-367-X 320 $aIncludes bibliographical references (pages [243]-277) and index. 327 $tFrontmatter -- $tPreface to the Second Edition -- $tPreface -- $tContents -- $tIntroduction -- $tChapter 1. Well-posedness of problems -- $tChapter 2. Regularizing family of operators and sets of uniform regularization -- $tChapter 3. Basic techniques for constructing regularizing algorithms -- $tChapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation -- $tChapter 5. Determination of values of unbounded operators -- $tChapter 6. Finite-dimensional approximation of regulirizing algorithms -- $tBibliography -- $tAdditional Bibliography to the Second Edition -- $tComments to Additional Bibliography -- $tIndex 330 $aThis monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the book considers ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been made in the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations. 410 0$aInverse and Ill-Posed Problems Series 606 $aOperator equations 606 $aIntegral operators 606 $aNumerical analysis$xImproperly posed problems 608 $aElectronic books. 615 0$aOperator equations. 615 0$aIntegral operators. 615 0$aNumerical analysis$xImproperly posed problems. 676 $a295 700 $aIvanov$b Valentin Konstantinovich$01045348 701 $aVasin$b V. V$0535686 701 $aTanana$b Vitalii? Pavlovich$01045349 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463651403321 996 $aTheory of linear ill-posed problems and its applications$92471568 997 $aUNINA