ON GENERAL FIXED POINT METHOD BASED ON MATRIX SPLITTING FOR SOLVING LINEAR COMPLEMENTARITY PROBLEM

Article Type

Research Article

Publication Title

Journal of Numerical Analysis and Approximation Theory

Abstract

In this article, we introduce a modified fixed point method to process the large and sparse linear complementarity problem (LCP) and formulate an equivalent fixed point equation for the LCP and show the equivalence. Also, we provide convergence conditions when the system matrix is a P-matrix and two sufficient convergence conditions when the system matrix is an H+-matrix. To show the efficiency of our proposed method, we illustrate two numerical examples for different parameters.

First Page

189

Last Page

200

DOI

10.33993/jnaat511-1285

Publication Date

1-1-2022

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