02552nam 2200589 a 450 991045713680332120200520144314.01-282-44288-09786612442889981-283-565-2(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 equationsElectronic books.Linear operators.Operator equations.515/.7246Nair M. Thamban767986MiAaPQMiAaPQMiAaPQBOOK9910457136803321Linear operator equations2257721UNINA