A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation

被引:0
|
作者
Yan, Lu-Lin [1 ]
Jiang, Yi-Xin [2 ]
Miao, Shu-Xin [2 ]
机构
[1] Gansu Univ Chinese Med, Dept Sci, Dingxi 743000, Peoples R China
[2] Northwest Normal Univ, Coll Math & Stat, Lanzhou, Peoples R China
关键词
GENERALIZED NEWTON METHOD; MODEL;
D O I
10.1155/2024/6842559
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new matrix splitting iteration method is presented to solve the absolute value equation. The proposed method has three parameters, and it is expected that its convergence efficiency can be improved by selecting appropriate parameters. The convergence of the proposed method is studied. Numerical examples of the absolute value equation with M-matrices are given to show the effectiveness and feasibility of the proposed method.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] A modified generalized SOR-like method for solving an absolute value equation
    Zhang, Jia-Lin
    Zhang, Guo-Feng
    Liang, Zhao-Zheng
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (09): : 1578 - 1595
  • [42] A new fixed point iterative method for solving tensor absolute value equation
    Lv, Xin-Mei
    Miao, Shu-Xin
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (07):
  • [43] A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation
    Chen, Yuhan
    Li, Chenliang
    MATHEMATICS, 2022, 10 (07)
  • [44] Generalized symmetric accelerated over relaxation method for solving absolute value complementarity problems
    Noor, M. A.
    Noor, K. I.
    Iqbal, Javed
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (03) : 265 - 272
  • [45] Generalized symmetric accelerated over relaxation method for solving absolute value complementarity problems
    M. A. Noor
    K. I. Noor
    Javed Iqbal
    Computational Mathematics and Mathematical Physics, 2013, 53 : 265 - 272
  • [46] The Picard–HSS iteration method for absolute value equations
    Davod Khojasteh Salkuyeh
    Optimization Letters, 2014, 8 : 2191 - 2202
  • [47] Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations
    Dai, Pingfei
    Wu, Qingbiao
    NUMERICAL ALGORITHMS, 2024, 96 (02) : 537 - 555
  • [48] Modulus-based block triangular splitting iteration method for solving the generalized absolute value equations
    Pingfei Dai
    Qingbiao Wu
    Numerical Algorithms, 2024, 96 : 537 - 555
  • [49] Variational iteration method for solving an inverse parabolic equation
    Jinbo, Liu
    Jiang, Tang
    PHYSICS LETTERS A, 2008, 372 (20) : 3569 - 3572
  • [50] ITERATION METHOD OF SOLVING AN INTEGRAL EQUATION IN THEORY POTENTIAL
    RAMM, AG
    DOKLADY AKADEMII NAUK SSSR, 1969, 186 (01): : 62 - &