Two-Step Simplified Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

被引：0
|
作者：
Fang, Ximing [1 ]
机构：
[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526000, Peoples R China
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 09期
关键词：
linear complementarity problem; iteration method; matrix splitting; convergence;
D O I：
10.3390/sym16091210
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A two-step simplified modulus-based matrix splitting iteration method is presented for solving the linear complementarity problem. According to general matrix splitting and special matrix splitting, a general convergence analysis and a specific convergence analysis are described, respectively. Numerical experiments show that the iteration method is effective and that the convergence theories are valid.
引用
收藏
页数：22
相关论文
共 50 条
  • [21] A class of two-step modulus-based matrix splitting iteration methods for quasi-complementarity problems
    Quan Shi
    Qin-Qin Shen
    Tian-Pei Tang
    Computational and Applied Mathematics, 2020, 39
  • [22] On the convergence of two-step modulus-based matrix splitting iteration method
    Fang, Ximing
    Fu, Shouzhong
    Gu, Ze
    OPEN MATHEMATICS, 2021, 19 (01): : 1461 - 1475
  • [23] A class of two-step modulus-based matrix splitting iteration methods for quasi-complementarity problems
    Shi, Quan
    Shen, Qin-Qin
    Tang, Tian-Pei
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (01):
  • [24] A Generalized Two-Step Modulus-Based Matrix Splitting Iteration Method for Implicit Complementarity Problems of H+-Matrices
    Jia, Lu
    Wang, Xiang
    FILOMAT, 2019, 33 (15) : 4875 - 4888
  • [25] Modulus-based matrix splitting iteration methods for linear complementarity problems
    Bai, Zhong-Zhi
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 17 (06) : 917 - 933
  • [26] Accelerated Relaxation Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems
    Huang, Zheng-Ge
    Cui, Jing-Jing
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2175 - 2213
  • [27] A two-step new modulus-based matrix splitting method for vertical linear complementarity problem
    Li, Cuixia
    Wu, Shiliang
    OPTIMIZATION METHODS & SOFTWARE, 2024, 39 (02): : 414 - 430
  • [28] 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
  • [29] 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
  • [30] A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems
    Hua Zheng
    Wen Li
    Seakweng Vong
    Numerical Algorithms, 2017, 74 : 137 - 152
12345