2004•Journal of Inverse and Ill-Posed ProblemsRequires access
The method of extending compacts and a posteriori error estimates for nonlinear ill-posed problems
K. Yu. Dorofeev, A. G. Yagola
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Abstract
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.