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A golden ratio primal-dual algorithm for structured convex optimization
Xiaokai Chang, Junfeng Yang
We design, analyze and test a golden ratio primal-dual algorithm (GRPDA) for solving structured convex optimization problem, where the objective function is the sum of two closed p…
A family of multi-parameterized proximal point algorithms
Jianchao Bai, Ke Guo, Xiaokai Chang
In this paper, a multi-parameterized proximal point algorithm combining with a relaxation step is developed for solving convex minimization problem subject to linear constraints. W…
Convergence Revisit on Generalized Symmetric ADMM
Jianchao Bai, Xiaokai Chang, Jicheng Li +1
In this note, we show a sublinear nonergodic convergence rate for the algorithm developed in [Bai, et al. Generalized symmetric ADMM for separable convex optimization. Comput. Opti…
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…