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A class of regularization methods for ill posed problems

 

作者: Andrzej Pokrzywa,   Teresa Regińska,  

 

期刊: Numerical Functional Analysis and Optimization  (Taylor Available online 1990)
卷期: Volume 11, issue 1-2  

页码: 119-138

 

ISSN:0163-0563

 

年代: 1990

 

DOI:10.1080/01630569008816365

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

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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