9 citations · 16 across the 12 of their papers we have counts for
12 papers
Strong asymptotic convergence of a slowly damped inertial primal-dual dynamical system controlled by a Tikhonov regularization term
Ting-Ting Zhu, Rong Hu, Ya-Ping Fang
We propose a slowly damped inertial primal-dual dynamical system controlled by a Tikhonov regularization term, where the inertial term is introduced only for the primal variable, f…
Solving maximally comonotone inclusion problems via an implicit Newton-like inertial dynamical system and its discretization
Z. Z. Tan, R. Hu, Y. P. Fang
This paper deals with an implicit Newton-like inertial dynamical system governed by a maximally comonotone inclusion problem in a Hilbert space. Under suitable conditions, we estab…
Fast convergence rates and trajectory convergence of a Tikhonov regularized inertial primal\mbox{-}dual dynamical system with time scaling and vanishing damping
Ting-Ting Zhu, Rong Hu, Ya-Ping Fang
A Tikhonov regularized inertial primal\mbox{-}dual dynamical system with time scaling and vanishing damping is proposed for solving a linearly constrained convex optimization probl…
A second order dynamical system method for solving a maximal comonotone inclusion problem
Zengzhen Tan, Rong Hu, Yaping Fang
In this paper a second order dynamical system model is proposed for computing a zero of a maximal comonotone operator in Hilbert spaces. Under mild conditions, we prove existence a…
Tikhonov regularized second-order plus first-order primal-dual dynamical systems with asymptotically vanishing damping for linear equality constrained convex optimization problems
Ting Ting Zhu, Rong Hu, Ya Ping Fang
In this paper, in the setting of Hilbert spaces, we consider a Tikhonov regularized second-order plus first-order primal-dual dynamical system with asymptotically vanishing damping…
Perturbed primal-dual dynamics with damping and time scaling coefficients for affine constrained convex optimization problems
Xin He, Rong Hu, Ya-Ping Fang
In Hilbert space, we propose a family of primal-dual dynamical system for affine constrained convex optimization problem. Several damping coefficients, time scaling coefficients, a…
Inertial primal-dual methods for linear equality constrained convex optimization problems
Xin He, Rong Hu, Ya-Ping Fang
In this paper, we propose an inertial accelerated primal-dual method for the linear equality constrained convex optimization problem. When the objective function has a ``nonsmooth…
"Second-Order Primal'' + "First-Order Dual'' Dynamical Systems with Time Scaling for Linear Equality Constrained Convex Optimization Problems
Xin He, Rong Hu, Ya-Ping Fang
Second-order dynamical systems are important tools for solving optimization problems, and most of existing works in this field have focused on unconstrained optimization problems.…
Fast primal-dual algorithm via dynamical system for a linearly constrained convex optimization problem
Xin He, Rong Hu, Ya-Ping Fang
By time discretization of a second-order primal-dual dynamical system with damping where an inertial construction in the sense of Nesterov is needed only for the primal varia…
Solvability of a Regular Polynomial Vector Optimization Problem without Convexity
Danyang Liu, Rong Hu, Yaping Fang
In this paper we consider the solvability of a non-convex regular polynomial vector optimization problem on a nonempty closed set. We introduce regularity conditions for the polyno…
Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems
Xin He, Rong Hu, Ya-Ping Fang
In this paper, we propose a second-order continuous primal-dual dynamical system with time-dependent positive damping terms for a separable convex optimization problem with linear…
Asymptotic behavior of a nonautonomous evolution equation governed by a quasi-nonexpansive operator
Ming Zhu, Rong Hu, Ya-Ping Fang
We study the asymptotic behavior of the trajectory of a nonautonomous evolution equation governed by a quasi-nonexpansive operator in Hilbert spaces. We prove the weak convergence…