Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem

被引:17
|
作者
Li, Chen-Liang [1 ]
Hong, Jun-Tao [1 ]
机构
[1] Guilin & Univ Elect Technol, Sch Math & Comp Sci, Guangxi Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Guangxi, Peoples R China
关键词
Implicit complementarity problem; synchronous; iterative method; modulus-based multisplitting; CONVERGENCE; ALGORITHMS; SPLITTINGS;
D O I
10.4208/eajam.261215.220217a
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct modulus-based synchronous multisplitting iteration methods to solve a large implicit complementarity problem on parallel multiprocessor systems, and prove their convergence. Numerical results confirm our theoretical analysis and show that these new methods are efficient.
引用
收藏
页码:363 / 375
页数:13
相关论文
共 50 条
  • [31] Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
    Ning Zheng
    Jun-Feng Yin
    Numerical Algorithms, 2013, 64 : 245 - 262
  • [32] The weaker convergence of modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems
    Zhang, Li-Tao
    Li, Jian-Lei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (10) : 1954 - 1959
  • [33] Two-Stage Multisplitting Iteration Methods Using Modulus-Based Matrix Splitting as Inner Iteration for Linear Complementarity Problems
    Zhang, Li-Li
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 160 (01) : 189 - 203
  • [34] Two-Stage Multisplitting Iteration Methods Using Modulus-Based Matrix Splitting as Inner Iteration for Linear Complementarity Problems
    Li-Li Zhang
    Journal of Optimization Theory and Applications, 2014, 160 : 189 - 203
  • [35] 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
  • [36] Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems
    Yang Cao
    An Wang
    Numerical Algorithms, 2019, 82 : 1377 - 1394
  • [37] Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems
    Cao, Yang
    Wang, An
    NUMERICAL ALGORITHMS, 2019, 82 (04) : 1377 - 1394
  • [38] Improved modulus-based matrix splitting iteration methods for a class of horizontal implicit complementarity problems
    Wang, Lu-Xin
    Cao, Yang
    Shen, Qin-Qin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 454
  • [39] GLOBAL RELAXED MODULUS-BASED SYNCHRONOUS BLOCK MULTISPLITTING MULTI-PARAMETERS METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS
    Zhang, Litao
    Zhang, Yifan
    Zuo, Xianyu
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (04): : 1267 - 1281
  • [40] New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems
    Zhang, Li-Tao
    Zhang, Yu-Xia
    Gu, Tong-Xiang
    Liu, Xing-Ping
    Zhang, Liu-Wei
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (01): : 481 - 492