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
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
  • [41] Improved convergence theorems of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear complementarity problems
    Zheng, Hua
    Vong, Seakweng
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (09): : 1773 - 1784
  • [42] 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
  • [43] Modified relaxation two-sweep modulus-based matrix splitting iteration method for solving a class of implicit complementarity problems
    Li, Nan
    Ding, Jian
    Yin, Jun-Feng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 413
  • [44] Convergence of modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
    Ximing Fang
    Numerical Algorithms, 2022, 90 : 931 - 950
  • [45] THE MODULUS-BASED MATRIX SPLITTING METHOD WITH INNER ITERATION FOR A CLASS OF NONLINEAR COMPLEMENTARITY PROBLEMS
    Ma, Changfeng
    Wang, Ting
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (02): : 701 - 714
  • [46] Convergence of modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
    Fang, Ximing
    NUMERICAL ALGORITHMS, 2022, 90 (03) : 931 - 950
  • [47] A Relaxation Modulus-based Matrix Splitting Iteration Method for a Class of Nonlinear Complementarity Problems
    Wang Y.
    Yin J.
    Li R.
    Tongji Daxue Xuebao/Journal of Tongji University, 2019, 47 (02): : 291 - 297
  • [48] Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
    Huang, Baohua
    Ma, Changfeng
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3053 - 3076
  • [49] Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
    Baohua Huang
    Changfeng Ma
    Computational and Applied Mathematics, 2018, 37 : 3053 - 3076
  • [50] A preconditioned general two-step modulus-based matrix splitting iteration method for linear complementarity problems of H+-matrices
    Ren, Huan
    Wang, Xiang
    Tang, Xiao-Bin
    Wang, Teng
    NUMERICAL ALGORITHMS, 2019, 82 (03) : 969 - 986