A DYNAMIC MODEL TO SOLVE WEIGHTED LINEAR COMPLEMENTARITY PROBLEMS

被引：1
|
作者：
Yu, Dongmei [1 ]
Chen, Cairong [2 ,3 ]
Han, Deren [4 ]
机构：
[1] Liaoning Tech Univ, Inst Optimizat & Decis Analyt, Fuxing 123000, Peoples R China
[2] Fujian Normal Univ, Sch Math & Stat, FJKLMAA, Fuzhou 350007, Peoples R China
[3] Fujian Normal Univ, Ctr Appl Math Fujian Prov, Fuzhou 350007, Peoples R China
[4] Beihang Univ, Sch Math Sci, LMIB Minist Educ, Beijing 100191, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2023年 / 19卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Dynamic model; monotone weighted linear complementarity problem; asymptotic stability; equilibrium point; simulation; INTERIOR-POINT ALGORITHMS; NEURAL-NETWORK; SYSTEM;
D O I：
10.3934/jimo.2023015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A dynamic model (DM) is proposed to solve the weighted linear complementarity problem (WLCP). The DM is based on an approximate re-formulation of the WLCP into an unconstrained minimization problem. Under certain hypothesis, we prove that the equilibrium point of the DM is asymp-totically stable and it is an approximate solution of the monotone WLCP. Simulation results are given to show the effectiveness of our method.
引用
收藏
页码：7703 / 7715
页数：13
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