The simplified modulus-based matrix splitting iteration method for the nonlinear complementarity problem

被引：1

作者：

Fang, Ximing ^{[1
]}

机构：

[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526000, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 04期

关键词：

nonlinear complementarity; numerical solution; iteration method; matrix spitting; convergence;

D O I：

10.3934/math.2024416

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the simplified modulus-based matrix splitting iteration method was extended to solve the nonlinear complementarity problem, and the convergence conditions were presented from the spectral radius and the matrix norm. Then, for the special cases of this method, we provided some concrete convergence conditions as well as the quasi-optimal parameter matrix. Moreover, some numerical examples were illustrated to show the validity of the convergence results.

引用

页码：8594 / 8609

页数：16

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