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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.OC2025
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…