A class of regularization methods for ill posed problems |
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Authors: | Andrzej Pokrzywa Teresa Regińska |
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Institution: | Institute of Mathematics Polish Academy of Sciences , ?niadeckich 8, Warsaw, 00-950, Poland |
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Abstract: | The paper deals with regularization methods for solving ill posed problems with nonselfadjoint bounded linear operators acting on a Hilbert space. A class of methods generated by certain families of functions is considered. In the case of exact data the convergence of approximate solutions to the exact one (provided that it exists) is proved and error estimations are presented. An integral representation of functions of an auxiliary operator is obtained and subsequently used in error estimation. |
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