A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions
Optimization and Control
2024-01-11 v1
Abstract
We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusion in real Hilbert space. The algorithm allows to use the inexact computations of the Lipschitzian and cocoercive operators. The strong convergence of the generated iterative sequence is proved under the strong monotonicity condition, whilst the weak convergence is formally proved under several conditioned used in the literature. An application to a structured minimization problem is supported.
Cite
@article{arxiv.2401.05292,
title = {A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions},
author = {Vu Cong Bang and Dimitri Papadimitriou and Vu Xuan Nham},
journal= {arXiv preprint arXiv:2401.05292},
year = {2024}
}
Comments
accepted for publication in AMV