English

On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize

Optimization and Control 2017-05-10 v1

Abstract

In this paper, we extend the improved pointwise iteration-complexity result of a dynamic regularized alternating direction method of multipliers (ADMM) for a new stepsize domain. In this complexity analysis, the stepsize parameter can even be chosen in the interval (0,2)(0,2) instead of interval (0,(1+5)/2)(0,(1+\sqrt{5})/2). As usual, our analysis is established by interpreting this ADMM variant as an instance of a hybrid proximal extragradient framework applied to a specific monotone inclusion problem.

Keywords

Cite

@article{arxiv.1705.03097,
  title  = {On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize},
  author = {M. L. N. Goncalves},
  journal= {arXiv preprint arXiv:1705.03097},
  year   = {2017}
}
R2 v1 2026-06-22T19:40:54.697Z