Title: On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize,
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 $(0,2)$ instead of interval
$(0,(1+\sqrt{5})/2)$. 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.