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math.OC2019
First-order primal-dual algorithm with correction
Xiaokai Chang, Sanyang Liu
This paper is devoted to the design of efficient primal-dual algorithm (PDA) for solving convex optimization problems with known saddle-point structure. We present a new PDA with l…
math.OC2018
Proximal extrapolated gradient methods with prediction and correction for monotone variational inequalities
Xiaokai Chang, Sanyang Liu, Jianchao Bai +1
An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed me…
math.OC2018
A three-operator splitting perspective of a three-block ADMM for convex quadratic semidefinite programming and extensions
Xiaokai Chang, Liang Chen, Sanyang Liu
In recent years, several convergent multi-block variants of the alternating direction method of multipliers (ADMM) have been proposed for solving the convex quadratic semidefinite…