3 papers
math.OC2026
Fast Rates and Strong Convergence of Tikhonov-Regularized Mixed-Order Primal-Dual Dynamics for Linearly Constrained Optimization Without Eventual Ball Conditions
Hong-lu Li, Yi-bin Xiao
In this paper, we study a Tikhonov-regularized mixed-order primal--dual dynamical system with implicit Hessian damping for linearly constrained convex optimization problems in fini…
math.OC2025
Fast convergence of dynamical systems with implicit Hessian damping and Tikhonov regularization
Hong-lu Li, Xin He, Yi-bin Xiao
This paper proposes novel primal-dual dynamical systems for solving linear equality constrained convex optimization. First, we introduce a primal-dual dynamical system with implici…
math.OC2024
A General Mixed-Order Primal-Dual Dynamical System with Tikhonov Regularization
Honglu Li, Rong Hu, Xin He +1
In a Hilbert space, we propose a class of general mixed-order primal-dual dynamical systems with Tikhonov regularization for a convex optimization problem with linear equality cons…