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math.OC2024
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…
math.OC2024
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…
math.OC2024
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…