On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations

被引：4
作者：
Li, Cui-Xia [1 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词：
absolute value equation; MHSS iteration; convergence; smoothing approximate function; GENERALIZED NEWTON METHOD;
D O I：
10.1186/s13660-016-1202-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method, the nonlinear MHSS-like iteration method is presented to solve a class of the weakly absolute value equations (AVE). By using a smoothing approximate function, the convergence properties of the nonlinear MHSS-like iteration method are presented. Numerical experiments are reported to illustrate the feasibility, robustness, and effectiveness of the proposed method.
引用
收藏
页数：10
相关论文
共 23 条
  • [1] [Anonymous], 1968, Linear Algebra and its Applications, DOI DOI 10.1016/0024-3795(68)90052-9
  • [2] [Anonymous], 2013, J LINEAR TOPOLOGICAL
  • [3] Modified HSS iteration methods for a class of complex symmetric linear systems
    Bai, Zhong-Zhi
    Benzi, Michele
    Chen, Fang
    [J]. COMPUTING, 2010, 87 (3-4) : 93 - 111
  • [4] On HSS-based iteration methods for weakly nonlinear systems
    Bai, Zhong-Zhi
    Yang, Xi
    [J]. APPLIED NUMERICAL MATHEMATICS, 2009, 59 (12) : 2923 - 2936
  • [5] Hermitian and skew-Hermitian splitting methods for non-hermitian positive definite linear systems
    Bai, ZZ
    Golub, GH
    Ng, MK
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (03) : 603 - 626
  • [6] On the global convergence of the inexact semi-smooth Newton method for absolute value equation
    Bello Cruz, J. Y.
    Ferreira, O. P.
    Prudente, L. F.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 65 (01) : 93 - 108
  • [7] A globally and quadratically convergent method for absolute value equations
    Caccetta, Louis
    Qu, Biao
    Zhou, Guanglu
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 48 (01) : 45 - 58
  • [8] Cottle R.W., 1992, The Linear Complementarity Problem
  • [9] A generalized Newton method for absolute value equations associated with second order cones
    Hu, Sheng-Long
    Huang, Zheng-Hai
    Zhang, Qiong
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1490 - 1501
  • [10] An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side
    Ketabchi, Saeed
    Moosaei, Hossein
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) : 1882 - 1885
123