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20202024
most citedConvergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems

9 citations · 13 across the 3 of their papers we have counts for

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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.OC2023

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…

math.OC20212 cited

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…

math.OC2021

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…

math.OC20212 cited

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…

math.OC20209 cited

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…