5 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…
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…
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…
"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…