Ergodic behaviour of a Douglas-Rachford operator away from the origin
Optimization and Control
2017-08-31 v1
Abstract
It is shown that away from the origin, the Douglas-Rachford operator with respect to a sphere and a convex set in a Hilbert space can be approximated by a another operator which satisfies a weak ergodic theorem. Similar results for other projection and reflection operators are also discussed.
Keywords
Cite
@article{arxiv.1708.09068,
title = {Ergodic behaviour of a Douglas-Rachford operator away from the origin},
author = {Jonathan M. Borwein and Ohad Giladi},
journal= {arXiv preprint arXiv:1708.09068},
year = {2017}
}
Comments
To appear in Journal of Nonlinear and Convex Analysis