Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems

被引：6
|
作者：
Wang, Yan [1 ]
Yin, Jun-Feng [1 ]
Dou, Quan-Yu [2 ]
Li, Rui [1 ,3 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
[2] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
[3] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2019年 / 12卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Implicit complementarity problems; modulus-based matrix splitting; H+-matrix; convergence; CONVERGENCE;
D O I：
10.4208/nmtma.OA-2018-0034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Modulus-based matrix splitting iteration methods were recently proposed for solving implicit complementarity problems. In this paper, to solve a class of implicit complementarity problems, two-step modulus-based matrix splitting iteration methods are presented and analyzed. The convergence theorems are established when the system matrix is an H+-matrix. Numerical results show that the proposed methods are efficient and can accelerate the convergence performance with less iteration steps and CPU time.
引用
收藏
页码：867 / 883
页数：17
相关论文
共 50 条
  • [1] Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems
    Yang Cao
    An Wang
    Numerical Algorithms, 2019, 82 : 1377 - 1394
  • [2] Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems
    Cao, Yang
    Wang, An
    NUMERICAL ALGORITHMS, 2019, 82 (04) : 1377 - 1394
  • [3] Modified two-step modulus-based matrix splitting iteration methods for implicit complementarity problems
    Wang, Lu-Xin
    Cao, Yang
    Shen, Qin-Qin
    Zhou, Chen-Can
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06):
  • [4] 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
  • [5] Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems
    Hong, Jun-Tao
    Li, Chen-Liang
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 23 (04) : 629 - 641
  • [6] 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):
  • [7] Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
    Xie, Shui-Lian
    Xu, Hong-Ru
    Zeng, Jin-Ping
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 494 : 1 - 10
  • [8] Accelerated Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems
    Yin J.
    Ding J.
    Li R.
    Tongji Daxue Xuebao/Journal of Tongji University, 2020, 48 (10): : 1478 - 1486
  • [9] Two-step modulus-based matrix splitting iteration method for linear complementarity problems
    Zhang, Li-Li
    NUMERICAL ALGORITHMS, 2011, 57 (01) : 83 - 99
  • [10] Two-step modulus-based matrix splitting iteration method for linear complementarity problems
    Li-Li Zhang
    Numerical Algorithms, 2011, 57 : 83 - 99
12345