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Publication Date:
April 2011
ISSN:
1569-3945
DOI:
10.1515/jiip.2011.019

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions

1

1Mari State University, Yoshkar-Ola 424001, Russia.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 9, Pages 1031–1050, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.019, April 2011

Publication History:
Received:
2010-09-26
Published Online:
2011-04-02

Abstract

The aim of the paper is to substantiate a general scheme of constructing twostage iterative processes for solving irregular nonlinear operator equations in a Hilbert space with a priori conditions on the solution. The processes use the technique of sequential approximate minimization of locally strongly convex Tikhonov functionals.

Keywords.: Ill-posed problem; the Tikhonov functional; global optimization; local strong convexity; source-type condition

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