activity
20202025
most citedAn inexact Douglas-Rachford splitting method for solving absolute value equations

33 citations · 71 across the 10 of their papers we have counts for

collaborators

10 papers

math.NA2025

A fixed-time stable dynamical model for solving EVLCPs

Yufei Wei, Shiping Lin, Cairong Chen +2

A fixed-time stable dynamical system for solving the extended vertical linear complementarity problem (EVLCP) is developed. The system is based on the reformulation of EVLCP as a s…

math.NA2025★ 1 cited

An inverse-free fixed-time stable dynamical system and its forward-Euler discretization for solving generalized absolute value equations

Xuehua Li, Linjie Chen, Dongmei Yu +2

An inverse-free dynamical system is proposed to solve the generalized absolute value equation (GAVE) with a fixed time convergence, where the time of convergence is finite and is u…

math.DS2023★ 1 cited

The neural network models with delays for solving absolute value equations

Dongmei Yu, Gehao Zhang, Cairong Chen +1

An inverse-free neural network model with mixed delays is proposed for solving the absolute value equation (AVE) , which includes an inverse-free neural network mod…

math.DS2022★ 11 cited

A fixed-time inverse-free dynamical system for solving the system of absolute value equations

Xuehua Li, Dongmei Yu, Yinong Yang +2

In this paper, an inverse-free dynamical system with fixed-time convergence is presented to solve the system of absolute value equations (AVEs). Under a mild condition, it is prove…

math.DS2022

A dynamical system based on projection operator for solving absolute value equations associated with second-order cone

Cairong Chen, Dongmei Yu, Deren Han +1

A new equivalent reformulation of the absolute value equations associated with second-order cone (SOCAVEs) is emphasised, from which a dynamical system based on projection operator…

math.OC2022★ 6 cited

On finite termination of the generalized Newton method for solving absolute value equations

Jia Tang, Wenli Zheng, Cairong Chen +2

Motivated by the framework constructed by Brugnano and Casulli SIAM J. Sci. Comput. 30: 463--472, 2008, we analyze the finite termination property of the generalized Netwon m…

math.OC2021★ 3 cited

A non-monotone smoothing Newton algorithm for solving the system of generalized absolute value equations

Cairong Chen, Dongmei Yu, Deren Han +1

The system of generalized absolute value equations (GAVE) has attracted more and more attention in the optimization community. In this paper, by introducing a smoothing function, w…

math.OC2021★ 33 cited

An inexact Douglas-Rachford splitting method for solving absolute value equations

Cairong Chen, Dongmei Yu, Deren Han

The last two decades witnessed the increasing of the interests on the absolute value equations (AVE) of finding such that , where $A\in \mathbb{R}^{n…

math.NA2021★ 1 cited

An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation

Dongmei Yu, Cairong Chen, Deren Han

An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose exact version was proposed by…

math.NA2020★ 15 cited

Optimal parameter for the SOR-like iteration method for solving the system of absolute value equations

Cairong Chen, Dongmei Yu, Deren Han

The SOR-like iteration method for solving the absolute value equations~(AVE) of finding a vector such that with is investigated. The co…