3 papers
math.OC2026
Primal-dual dynamics featuring Hessian-driven damping and variable mass for convex optimization problems
Xiangkai Sun, Feng Guo, Liang He +1
This paper deals with a new Tikhonov regularized primal-dual dynamical system with variable mass and Hessian-driven damping for solving a convex optimization problem with linear eq…
math.OC2026
Convergence analysis of accelerated algorithms via a mixed-order dynamical system for separable nonsmooth convex optimization
Geng-Hua Li, Hai-Yi Zhao, Xiangkai Sun
For a linear equality constrained convex optimization problem involving two objective functions with a ``nonsmooth" + ``nonsmooth" composite structure, we study two algorithms deri…
math.OC2026
Inertial dynamical systems and accelerated algorithms with implicit Hessian-driven damping for nonconvex optimization
Zeying Gao, Xiangkai Sun, Liang He
This paper is devoted to the investigation of inertial dynamical systems with implicit Hessian-driven damping for strongly quasiconvex optimization which is a specific class of non…