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Publication Date:
September 2008
ISSN:
1569-3945
DOI:
10.1515/JIIP.2008.028

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems

V. V. Vasin1

1Institute of Mathematics and Mechanics UrB RAS, Kovalevskaya st., 16, 620219, Ekaterinburg, Russia. Email: vasin@imm.uran.ru

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 16, Issue 6, Pages 537–552, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2008.028, September 2008

Publication History:
Received:
2008-03-13
Published Online:
2008-09-30

Abstract

The brief survey of Ivanov's results concerning quasi-solution is given. Recent effective algorithms for iterative approximation of quasi-solutions to ill-posed problems are described. A general scheme of discrete approximation and examples of its applications to quasi-solution method are presented.

Key words.: Method of quasi-solutions; equations with a priori information; iterative methods; discrete approximation

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