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020 _a9789812835642
041 _aeng
082 _a515.724
_bNaiL
100 _aNair, M.Thamban
245 _aLinear Operator Equations :
_bApproximation and Regulariztion /
_cM. Thamban Nair
260 _aSingapore:
_bWorld Scientific;
_c©2009
300 _axiii, 249p.
520 _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 above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
650 _aMathematics
650 _aEngineering
_xMathematics
650 _aApproximation of Operator Equations
942 _cBK
999 _c7570
_d7570