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math.OC2026
Primal-dual dynamical systems with closed-loop control for convex optimization in continuous and discrete time
Huan Zhang, Xiangkai Sun, Shengjie Li +1
This paper develops a primal-dual dynamical system where the coefficients are designed in closed-loop way for solving a convex optimization problem with linear equality constraints…
math.OC2025
Inertial accelerated primal-dual algorithms for non-smooth convex optimization problems with linear equality constraints
Huan Zhang, Xiangkai Sun, Shengjie Li +1
This paper is devoted to the study of an inertial accelerated primal-dual algorithm, which is based on a second-order differential system with time scaling, for solving a non-smoot…
math.OC2025
Convergence analysis of a Tikhonov regularized inertial dynamical system and algorithm for convex optimization problems
Xiangkai Sun, Guoxiang Tian, Huan Zhang
This paper deals with a Tikhonov regularized second-order inertial dynamical system that incorporates time scaling, asymptotically vanishing damping and Hessian-driven damping for…