Dynamical system related to primal-dual splitting projection methods
Classical Analysis and ODEs
2021-08-17 v4 Dynamical Systems
Abstract
We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of solutions to this dynamical system in a Hilbert space. We prove that the trajectories of the proposed dynamical system converge strongly to a primal-dual solution of the considered problem. Under explicit time discretization of the dynamical system we obtain the best approximation algorithm for solving coupled monotone inclusion problem.
Cite
@article{arxiv.2102.03807,
title = {Dynamical system related to primal-dual splitting projection methods},
author = {Ewa M. Bednarczuk and Raj Narayan Dhara and Krzysztof E. Rutkowski},
journal= {arXiv preprint arXiv:2102.03807},
year = {2021}
}
Comments
22 pages, 1 figure, 33 citations