English

Convergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems

Optimization and Control 2017-11-06 v2

Abstract

This paper establishes convergence rate bounds for a variant of the proximal alternating direction method of multipliers (ADMM) for solving nonconvex linearly constrained optimization problems. The variant of the proximal ADMM allows the inclusion of an over-relaxation stepsize parameter belonging to the interval (0,2)(0,2). To the best of our knowledge, all related papers in the literature only consider the case where the over-relaxation parameter lies in the interval (0,(1+5)/2)(0,(1+\sqrt{5})/2).

Keywords

Cite

@article{arxiv.1702.01850,
  title  = {Convergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems},
  author = {Max L. N. Goncalves and Jefferson G. Melo and Renato D. C. Monteiro},
  journal= {arXiv preprint arXiv:1702.01850},
  year   = {2017}
}
R2 v1 2026-06-22T18:11:02.571Z