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arXiv · 2004.00818

Convergence Rates for Boundedly Regular Systems

Ernö Robert Csetnek·Andrew Eberhard·Matthew K. Tam
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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.

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Ernö Robert Csetnek, Andrew Eberhard, Matthew K. Tam. 2020-04-02. Convergence Rates for Boundedly Regular Systems. https://arxiv.org/abs/2004.00818

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