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

共 50 条

[21] A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems
Zheng, Hua
Vong, Seakweng
NUMERICAL ALGORITHMS, 2019, 82 (02) : 573 - 592
[22] Improved modulus-based matrix splitting iteration method for horizontal implicit complementarity problems
Huang, Zhengge
CALCOLO, 2024, 61 (04)
[23] A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems
Zheng, Hua
Li, Wen
Vong, Seakweng
NUMERICAL ALGORITHMS, 2017, 74 (01) : 137 - 152
[24] An efficient modulus-based matrix splitting iteration method for quasi-complementarity problems
Zhengge Huang
Jingjing Cui
Computational and Applied Mathematics, 2022, 41
[25] The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems
Ximing Fang
Journal of Applied Mathematics and Computing, 2023, 69 : 853 - 870
[26] An efficient modulus-based matrix splitting iteration method for quasi-complementarity problems
Huang, Zhengge
Cui, Jingjing
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (06):
[27] Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem
Guangbin Wang
Fuping Tan
Communications on Applied Mathematics and Computation, 2021, 3 : 419 - 427
[28] Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem
Wang, Guangbin
Tan, Fuping
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2021, 3 (03) : 419 - 427
[29] The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems
Fang, Ximing
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (01) : 853 - 870
[30] Accelerated Relaxation Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems
Zheng-Ge Huang
Jing-Jing Cui
Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 2175 - 2213

← 1 2 3 4 5 →