02518nam 2200577 a 450 991081228110332120230721025235.01-282-44288-09786612442889981-283-565-2(CKB)2550000000000613(EBL)477214(OCoLC)567643098(SSID)ssj0000339856(PQKBManifestationID)11234526(PQKBTitleCode)TC0000339856(PQKBWorkID)10365465(PQKB)10639333(MiAaPQ)EBC477214(WSP)00002089 (Au-PeEL)EBL477214(CaPaEBR)ebr10361862(CaONFJC)MIL244288(EXLCZ)99255000000000061320090219d2009 uy 0engur|n|---|||||txtccrLinear operator equations[electronic resource] approximation and regularization /M. Thamban NairSingapore ;Hackensack, NJ World Scientificc20091 online resource (264 p.)Description based upon print version of record.981-283-564-4 Includes bibliographical references (p. 241-245) and index.Preface; 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; IndexMany 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 aboLinear operatorsOperator equationsLinear operators.Operator equations.515/.7246Nair M. Thamban767986MiAaPQMiAaPQMiAaPQBOOK9910812281103321Linear operator equations3969029UNINA