Converse results, saturation and quasi-optimality for Lavrentiev regularization of accretive problems
Numerical Analysis
2016-07-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1607.04879,
title = {Converse results, saturation and quasi-optimality for Lavrentiev regularization of accretive problems},
author = {Robert Plato},
journal= {arXiv preprint arXiv:1607.04879},
year = {2016}
}