Global convergence of a non-convex Douglas-Rachford iteration
Optimization and Control
2015-07-01 v2
Abstract
We establish a region of convergence for the proto-typical non-convex Douglas-Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration [2] was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.
Keywords
Cite
@article{arxiv.1203.2392,
title = {Global convergence of a non-convex Douglas-Rachford iteration},
author = {Francisco J. Aragón Artacho and Jonathan M. Borwein},
journal= {arXiv preprint arXiv:1203.2392},
year = {2015}
}