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math.OC2024★ 1 cited
Inertial primal-dual dynamics with Hessian-driven damping and Tikhonov regularization for convex-concave bilinear saddle point problems
Xiangkai Sun, Liang He, Xianjun Long
This paper deals with a second-order primal-dual dynamical system with Hessian-driven damping and Tikhonov regularization terms in connection with a convex-concave bilinear saddle…
math.OC2024
Tikhonov regularized inertial primal-dual dynamics for convex-concave bilinear saddle point problems
Xiangkai Sun, Liang He, Xian-Jun Long
In this paper, for a convex-concave bilinear saddle point problem, we propose a Tikhonov regularized second-order primal-dual dynamical system with slow damping, extrapolation and…
math.OC2024★ 2 cited
Tikhonov regularization of second-order plus first-order primal-dual dynamical systems for separable convex optimization
Xiangkai Sun, Lijuan Zheng, Kok Lay Teo
This paper deals with a Tikhonov regularized second-order plus first-order primal-dual dynamical system with time scaling for separable convex optimization problems with linear equ…