A two-level additive Schwarz method for a kind of tensor complementarity problem

被引:5
作者
Xie, Shui-Lian [1 ]
Xu, Hong-Ru [1 ]
机构
[1] Jiaying Univ, Sch Math, Meizhou 514015, Peoples R China
关键词
Tensor complementarity problem; Z-tensor; Two-level; Convergence; ITERATION METHODS; CONVERGENCE;
D O I
10.1016/j.laa.2019.09.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a two-level additive Schwarz method for a kind of tensor complementarity problem (TCP). The method is proved to be convergent monotonically and can reach the solution within finite steps. We report some preliminary numerical results to test the efficiency of the proposed method. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:394 / 408
页数:15
相关论文
共 31 条
  • [1] Badea L, 2003, SIAM J NUMER ANAL, V41, P1052, DOI 10.1137/S0036l42901393607
  • [2] Global Uniqueness and Solvability for Tensor Complementarity Problems
    Bai, Xue-Li
    Huang, Zheng-Hai
    Wang, Yong
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (01) : 72 - 84
  • [3] Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems
    Bai, Zhong-Zhi
    Zhang, Li-Li
    [J]. NUMERICAL ALGORITHMS, 2013, 62 (01) : 59 - 77
  • [4] Modulus-based matrix splitting iteration methods for linear complementarity problems
    Bai, Zhong-Zhi
    [J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 17 (06) : 917 - 933
  • [5] Positive-Definite Tensors to Nonlinear Complementarity Problems
    Che, Maolin
    Qi, Liqun
    Wei, Yimin
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 168 (02) : 475 - 487
  • [6] Ding W., 2016, J SCI COMPUT, V439, P3264
  • [7] Ding W., 2015, ARXIV150706371
  • [8] M-tensors and nonsingular M-tensors
    Ding, Weiyang
    Qi, Liqun
    Wei, Yimin
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) : 3264 - 3278
  • [9] Facchinei F., 2007, Finite-Dimensional Variational Inequalities and Complementarity Problems
  • [10] A Continuation Method for Tensor Complementarity Problems
    Han, Lixing
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 180 (03) : 949 - 963