A Dynamic Model To Solve Weighted Linear Complementarity Problems

Dongmei Yu; Cairong Chen; Deren Han

doi:10.3934/jimo.2023015

A Dynamic Model To Solve Weighted Linear Complementarity Problems

Dongmei Yu
, Cairong Chen^*
, Deren Han

^*Corresponding author for this work

School of Mathematical Sciences

Liaoning Technical University
Fujian Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A dynamic model (DM) is proposed to solve the weighted linear complementarity problem (WLCP). The DM is based on an approximate reformulation of the WLCP into an unconstrained minimization problem. Under certain hypothesis, we prove that the equilibrium point of the DM is asymptotically stable and it is an approximate solution of the monotone WLCP. Simulation results are given to show the effectiveness of our method.

Original language	English
Pages (from-to)	7703-7715
Number of pages	13
Journal	Journal of Industrial and Management Optimization
Volume	19
Issue number	10
DOIs	https://doi.org/10.3934/jimo.2023015
State	Published - Oct 2023

Keywords

Dynamic model
asymptotic stability
equilibrium point
monotone weighted linear complementarity problem
simulation

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10.3934/jimo.2023015

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title = "A Dynamic Model To Solve Weighted Linear Complementarity Problems",

abstract = "A dynamic model (DM) is proposed to solve the weighted linear complementarity problem (WLCP). The DM is based on an approximate reformulation of the WLCP into an unconstrained minimization problem. Under certain hypothesis, we prove that the equilibrium point of the DM is asymptotically stable and it is an approximate solution of the monotone WLCP. Simulation results are given to show the effectiveness of our method.",

keywords = "Dynamic model, asymptotic stability, equilibrium point, monotone weighted linear complementarity problem, simulation",

author = "Dongmei Yu and Cairong Chen and Deren Han",

year = "2023",

month = oct,

doi = "10.3934/jimo.2023015",

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AU - Chen, Cairong

AU - Han, Deren

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N2 - A dynamic model (DM) is proposed to solve the weighted linear complementarity problem (WLCP). The DM is based on an approximate reformulation of the WLCP into an unconstrained minimization problem. Under certain hypothesis, we prove that the equilibrium point of the DM is asymptotically stable and it is an approximate solution of the monotone WLCP. Simulation results are given to show the effectiveness of our method.

AB - A dynamic model (DM) is proposed to solve the weighted linear complementarity problem (WLCP). The DM is based on an approximate reformulation of the WLCP into an unconstrained minimization problem. Under certain hypothesis, we prove that the equilibrium point of the DM is asymptotically stable and it is an approximate solution of the monotone WLCP. Simulation results are given to show the effectiveness of our method.

KW - Dynamic model

KW - asymptotic stability

KW - equilibrium point

KW - monotone weighted linear complementarity problem

KW - simulation

UR - https://www.scopus.com/pages/publications/85153700207

U2 - 10.3934/jimo.2023015

DO - 10.3934/jimo.2023015

M3 - 文章

AN - SCOPUS:85153700207

SN - 1547-5816

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SP - 7703

EP - 7715

JO - Journal of Industrial and Management Optimization

JF - Journal of Industrial and Management Optimization

IS - 10

ER -

A Dynamic Model To Solve Weighted Linear Complementarity Problems

Abstract

Keywords

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