Convergence Rates for Boundedly Regular Systems
Optimization and Control
2021-06-09 v4
Abstract
In this work, we consider a continuous dynamical system associated with the fixed point set of a nonexpansive operator which was originally studied by Bo\c{t} & Csetnek (2015). Our main results establish convergence rates for the system's trajectories when the nonexpansive operator satisfies an additional regularity property. This setting is the natural continuous-time analogue to discrete-time results obtained in Bauschke, Noll & Phan (2015) and Borwein, Li & Tam (2017) by using the same regularity properties.
Cite
@article{arxiv.2004.00818,
title = {Convergence Rates for Boundedly Regular Systems},
author = {Ernö Robert Csetnek and Andrew Eberhard and Matthew K. Tam},
journal= {arXiv preprint arXiv:2004.00818},
year = {2021}
}
Comments
15 pages