A Shift Splitting Iteration Method for Generalized Absolute Value Equations

被引:5
|
作者
Cui-Xia Li [1 ]
Shi-Liang Wu [1 ]
机构
[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
Generalized Absolute Value Equation; Shift Splitting Method; Convergence; NEWTON METHOD; MATRIX; CONVERGENCE; SYSTEMS;
D O I
10.1515/cmam-2020-0004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, based on the shift splitting technique, a shift splitting (SS) iteration method is presented to solve the generalized absolute value equations. Convergence conditions of the SS method are discussed in detail when the involved matrices are some special matrices. Finally, numerical experiments show the effectiveness of the proposed method.
引用
收藏
页码:863 / 872
页数:10
相关论文
共 50 条
  • [31] Relaxation Maximum-Based Iteration Method for Solving the Generalized Absolute Value Equation
    Ximing Fang
    Zhidong Wang
    Zhijun Qiao
    Journal of Nonlinear Mathematical Physics, 32 (1)
  • [32] On Generalized Traub's Method for Absolute Value Equations
    Haghani, Farhad Khaksar
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (02) : 619 - 625
  • [33] A class of maximum-based iteration methods for the generalized absolute value equation
    Wu, Shiliang
    Han, Deren
    Li, Cuixia
    APPLIED MATHEMATICS LETTERS, 2024, 156
  • [34] AN INEXACT RELAXED GENERALIZED NEWTON ITERATIVE METHOD FOR SOLVING GENERALIZED ABSOLUTE VALUE EQUATIONS
    Yu, Dongmei
    Zhang, Yiming
    Yuan, Yifei
    PACIFIC JOURNAL OF OPTIMIZATION, 2024, 20 (01): : 23 - 44
  • [35] TWO CSCS-BASED ITERATION METHODS FOR SOLVING ABSOLUTE VALUE EQUATIONS
    Gu, Xian-Ming
    Huang, Ting-Zhu
    Li, Hou-Biao
    Wang, Sheng-Feng
    Li, Liang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1336 - 1356
  • [36] An Improved Convergence Theorem of the Newton-Based AOR Method for Generalized Absolute Value Equations
    Chen, Raojie
    Peng, Xiaofei
    Yu, Wensong
    SYMMETRY-BASEL, 2022, 14 (06):
  • [37] Modified BAS iteration method for absolute value equation
    Li, Cui-Xia
    Yong, Long-Quan
    AIMS MATHEMATICS, 2022, 7 (01): : 606 - 616
  • [38] A new SOR-like method for solving absolute value equations
    Dong, Xu
    Shao, Xin-Hui
    Shen, Hai-Long
    APPLIED NUMERICAL MATHEMATICS, 2020, 156 : 410 - 421
  • [39] A modified fixed point iteration method for solving the system of absolute value equations
    Yu, Dongmei
    Chen, Cairong
    Han, Deren
    OPTIMIZATION, 2022, 71 (03) : 449 - 461
  • [40] The relaxed nonlinear PHSS-like iteration method for absolute value equations
    Zhang, Jian-Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 266 - 274