Tikhonov and Landweber convergence rates: characterization by interpolation spaces
Numerical Analysis
2015-09-30 v4
Abstract
Algebraic convergences rates of (iterated) Tikhonov regularization for linear inverse problems in Hilbert spaces are characterized by the membership of the exact solution to intermediate spaces produced by the K-method of real interpolation. Similar results are obtained for the Landweber iteration.
Keywords
Cite
@article{arxiv.1503.05742,
title = {Tikhonov and Landweber convergence rates: characterization by interpolation spaces},
author = {Roman Andreev},
journal= {arXiv preprint arXiv:1503.05742},
year = {2015}
}