LEADER 02518nam 2200577 a 450 001 9910812281103321 005 20230721025235.0 010 $a1-282-44288-0 010 $a9786612442889 010 $a981-283-565-2 035 $a(CKB)2550000000000613 035 $a(EBL)477214 035 $a(OCoLC)567643098 035 $a(SSID)ssj0000339856 035 $a(PQKBManifestationID)11234526 035 $a(PQKBTitleCode)TC0000339856 035 $a(PQKBWorkID)10365465 035 $a(PQKB)10639333 035 $a(MiAaPQ)EBC477214 035 $a(WSP)00002089 035 $a(Au-PeEL)EBL477214 035 $a(CaPaEBR)ebr10361862 035 $a(CaONFJC)MIL244288 035 $a(EXLCZ)992550000000000613 100 $a20090219d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLinear operator equations$b[electronic resource] $eapproximation and regularization /$fM. Thamban Nair 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2009 215 $a1 online resource (264 p.) 300 $aDescription based upon print version of record. 311 $a981-283-564-4 320 $aIncludes bibliographical references (p. 241-245) and index. 327 $aPreface; Contents; 1. Introduction; 2. Basic Results from Functional Analysis; 3. Well-Posed Equations and Their Approximations; 4. Ill-Posed Equations and Their Regularizations; 5. Regularized Approximation Methods; Bibliography; Index 330 $aMany problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the abo 606 $aLinear operators 606 $aOperator equations 615 0$aLinear operators. 615 0$aOperator equations. 676 $a515/.7246 700 $aNair$b M. Thamban$0767986 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812281103321 996 $aLinear operator equations$93969029 997 $aUNINA