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
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 584卷
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 50 条
  • [11] Restricted Additive Schwarz Method for Nonlinear Complementarity Problem with an M-Function
    Xu, Hongru
    Huang, Kekun
    Xie, Shuilian
    [J]. COMPUTER SCIENCE FOR ENVIRONMENTAL ENGINEERING AND ECOINFORMATICS, PT 1, 2011, 158 : 46 - 50
  • [12] A two-level domain decomposition algorithm for linear complementarity problem
    Shuilian Xie
    Zhe Sun
    Yuping Zeng
    [J]. Journal of Inequalities and Applications, 2013
  • [13] A two-level domain decomposition algorithm for linear complementarity problem
    Xie, Shuilian
    Sun, Zhe
    Zeng, Yuping
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [14] Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
    Barker, A. T.
    Brenner, S. C.
    Park, E. -H.
    Sung, L. -Y.
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2011, 47 (01) : 27 - 49
  • [15] Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
    A. T. Barker
    S. C. Brenner
    E.-H. Park
    L.-Y. Sung
    [J]. Journal of Scientific Computing, 2011, 47 : 27 - 49
  • [16] A Two-Level Additive Schwarz Domain Decomposition Preconditioner for a Flat-Top Partition of Unity Method
    Brenner, Susanne C.
    Davis, Christopher B.
    Sung, Li-yeng
    [J]. MESHFREE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS VIII, 2017, 115 : 1 - 16
  • [17] Two-Level Additive Schwarz Methods for Discontinuous Galerkin Approximations of the Biharmonic Equation
    O. Karakashian
    C. Collins
    [J]. Journal of Scientific Computing, 2018, 74 : 573 - 604
  • [18] Two-Level Additive Schwarz Methods for Discontinuous Galerkin Approximations of the Biharmonic Equation
    Karakashian, O.
    Collins, C.
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2018, 74 (01) : 573 - 604
  • [19] Two-level additive Schwarz preconditioners for fourth-order mixed methods
    Hanisch, MR
    [J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2006, 22 : 1 - 16
  • [20] Lower bounds for two-level additive Schwarz preconditioners for nonconforming finite elements
    Brenner, SC
    Sung, LY
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 1999, 202 : 585 - 604
12345