Relaxed modulus-based matrix splitting methods for the linear complementarity problem

Shiliang Wu; Cuixia Li; Praveen Agarwal

doi:10.3390/sym13030503

Relaxed modulus-based matrix splitting methods for the linear complementarity problem

Shiliang Wu
, Cuixia Li
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Yunnan Normal University
International College of Engineering

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

7 Scopus citations

Abstract

In this paper, we obtain a new equivalent fixed-point form of the linear complementarity problem by introducing a relaxed matrix and establish a class of relaxed modulus-based matrix splitting iteration methods for solving the linear complementarity problem. Some sufficient conditions for guaranteeing the convergence of relaxed modulus-based matrix splitting iteration methods are presented. Numerical examples are offered to show the efficacy of the proposed methods.

Original language	English
Article number	503
Journal	Symmetry
Volume	13
Issue number	3
DOIs	https://doi.org/10.3390/sym13030503
State	Published - Mar 2021

Keywords

Convergence
Iteration method
Linear complementarity problem
Matrix splitting

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10.3390/sym13030503

Cite this

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title = "Relaxed modulus-based matrix splitting methods for the linear complementarity problem",

abstract = "In this paper, we obtain a new equivalent fixed-point form of the linear complementarity problem by introducing a relaxed matrix and establish a class of relaxed modulus-based matrix splitting iteration methods for solving the linear complementarity problem. Some sufficient conditions for guaranteeing the convergence of relaxed modulus-based matrix splitting iteration methods are presented. Numerical examples are offered to show the efficacy of the proposed methods.",

keywords = "Convergence, Iteration method, Linear complementarity problem, Matrix splitting",

author = "Shiliang Wu and Cuixia Li and Praveen Agarwal",

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year = "2021",

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language = "English",

volume = "13",

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AU - Wu, Shiliang

AU - Li, Cuixia

AU - Agarwal, Praveen

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Y1 - 2021/3

N2 - In this paper, we obtain a new equivalent fixed-point form of the linear complementarity problem by introducing a relaxed matrix and establish a class of relaxed modulus-based matrix splitting iteration methods for solving the linear complementarity problem. Some sufficient conditions for guaranteeing the convergence of relaxed modulus-based matrix splitting iteration methods are presented. Numerical examples are offered to show the efficacy of the proposed methods.

AB - In this paper, we obtain a new equivalent fixed-point form of the linear complementarity problem by introducing a relaxed matrix and establish a class of relaxed modulus-based matrix splitting iteration methods for solving the linear complementarity problem. Some sufficient conditions for guaranteeing the convergence of relaxed modulus-based matrix splitting iteration methods are presented. Numerical examples are offered to show the efficacy of the proposed methods.

KW - Convergence

KW - Iteration method

KW - Linear complementarity problem

KW - Matrix splitting

UR - https://www.scopus.com/pages/publications/85103110473

U2 - 10.3390/sym13030503

DO - 10.3390/sym13030503

M3 - Article

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SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 3

M1 - 503

ER -

Relaxed modulus-based matrix splitting methods for the linear complementarity problem

Abstract

Keywords

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