Metric Subregularity and the Proximal Point Method
Optimization and Control
2009-02-25 v1 Numerical Analysis
Abstract
We examine the linear convergence rates of variants of the proximal point method for finding zeros of maximal monotone operators. We begin by showing how metric subregularity is sufficient for linear convergence to a zero of a maximal monotone operator. This result is then generalized to obtain convergence rates for the problem of finding a common zero of multiple monotone operators by considering randomized and averaged proximal methods.
Cite
@article{arxiv.0902.4200,
title = {Metric Subregularity and the Proximal Point Method},
author = {D. Leventhal},
journal= {arXiv preprint arXiv:0902.4200},
year = {2009}
}
Comments
14 pages