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CONVERSE RESULTS, SATURATION AND QUASI-OPTIMALITY FOR LAVRENTIEV REGULARIZATION OF ACCRETIVE PROBLEMS
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CONVERSE RESULTS, SATURATION AND QUASI-OPTIMALITY FOR LAVRENTIEV REGULARIZATION OF ACCRETIVE PROBLEMS
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Journal Article
CONVERSE RESULTS, SATURATION AND QUASI-OPTIMALITY FOR LAVRENTIEV REGULARIZATION OF ACCRETIVE PROBLEMS
2017
Overview
This paper deals with Lavrentiev regularization for solving linear ill-posed problems, mostly with respect to accretive operators on Hilbert spaces. We present converse and saturation results which are an important part in regularization theory. As a byproduct we obtain a new result on the quasi-optimality of a posteriori parameter choices. Results in this paper are formulated in Banach spaces whenever possible.
Publisher
Society for Industrial and Applied Mathematics
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