In this paper we show that an additional a priori information about a sourcewise representation of the solution of nonlinear ill-posed problem can be used for constructing regularizing algorithms with a posteriori error estimates. We describe these algorithms. Algorithms for the case when operators are linear can be obtained from these general algorithms.
Editor-in-Chief: Kabanikhin, Sergey I.
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The method of extending compacts and a posteriori error estimates for nonlinear ill-posed problems
∗Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Russia. E-mails: k_dorofeev@mail.ru, yagola@inverse.phys.msu.su
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 12, Issue 6, Pages 627–636, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/1569394042545120,
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