Title: Convergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems,
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 $(0,2)$. 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 $(0,(1+\sqrt{5})/2)$.