109 citations · 178 across the 8 of their papers we have counts for
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math.OC2015★ 1 cited
A Generalized Alternating Direction Method of Multipliers with Semi-Proximal Terms for Convex Composite Conic Programming
Yunhai Xiao, Liang Chen, Donghui Li
In this paper, we propose a generalized alternating direction method of multipliers (ADMM) with semi-proximal terms for solving a class of convex composite conic optimization probl…
math.OC2015★ 57 cited
A Note on the Convergence of ADMM for Linearly Constrained Convex Optimization Problems
Liang Chen, Defeng Sun, Kim-Chuan Toh
This note serves two purposes. Firstly, we construct a counterexample to show that the statement on the convergence of the alternating direction method of multipliers (ADMM) for so…
math.OC2015★ 109 cited
An Efficient Inexact Symmetric Gauss-Seidel Based Majorized ADMM for High-Dimensional Convex Composite Conic Programming
Liang Chen, Defeng Sun, Kim-Chuan Toh
In this paper, we propose an inexact multi-block ADMM-type first-order method for solving a class of high-dimensional convex composite conic optimization problems to moderate accur…