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

页码：7703 / 7715

页数：13

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