3 papers
math.OC2026
Inertial Primal-Dual Dynamics Methods Featuring Implicit Hessian-Driven Damping for Convex Optimization Problems in Continuous and Discrete Time
Xiangkai Sun, Zeying Gao, Liang He +1
This paper investigates inertial primal-dual dynamics with implicit Hessian-driven damping for strongly convex optimization problems with linear equality constraints. We first esta…
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…