A new iteration method for solving algebraic equations

被引：66
|
作者：
He, JH [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 01期
关键词：
nonlinearity; iteration method;
D O I：
10.1016/S0096-3003(01)00313-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a nonlinear algebraic equation f (x) = 0, by applying Taylor's theorem, is converted into a coupled iteration system L(x(n+1)) + g(x(n)) = 0 and g(x(n)) = f (x(n)) - L(x(n)), where L(x) = Ax(2) + Bx + C. The formula is of high convergence. Some examples are given. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：81 / 84
页数：4
相关论文
共 50 条
  • [31] A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations
    Yeih, Weichung
    Chan, I-Yao
    Ku, Cheng-Yu
    Fan, Chia-Ming
    Guan, Pai-Chen
    CMES - Computer Modeling in Engineering and Sciences, 2014, 99 (02): : 123 - 149
  • [32] A new Monte Carlo method for solving system of linear algebraic equations
    Fathi-Vajargah, Behrouz
    Hassanzadeh, Zeinab
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 159 - 179
  • [33] A new iteration method for solving a class of Hammerstein type integral equations system
    Karimi, Saeed
    Dehghan, Maryam
    Takhtabnoos, Fariba
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2015, 3 (04): : 231 - 246
  • [34] A new two-parameter iteration method for solving absolute value equations
    Xiao, Xiao-Yong
    Zhang, Miao
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2025, : 631 - 652
  • [35] Comment on "A New Second-Order Iteration Method for Solving Nonlinear Equations"
    Li, Haibin
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [36] A new Walk on Equations Monte Carlo method for solving systems of linear algebraic equations
    Dimov, Ivan
    Maire, Sylvain
    Sellier, Jean Michel
    APPLIED MATHEMATICAL MODELLING, 2015, 39 (15) : 4494 - 4510
  • [37] BUCHBERGER METHOD FOR SOLVING SYSTEMS OF ALGEBRAIC EQUATIONS
    TRINKS, W
    JOURNAL OF NUMBER THEORY, 1978, 10 (04) : 475 - 488
  • [38] A DIRECT METHOD FOR SOLVING LINEAR ALGEBRAIC EQUATIONS
    OSBORNE, EE
    COMMUNICATIONS OF THE ACM, 1961, 4 (07) : 301 - 301
  • [39] A METHOD OF SOLVING SIMULTANEOUS LINEAR ALGEBRAIC EQUATIONS
    BURDINA, VI
    DOKLADY AKADEMII NAUK SSSR, 1958, 120 (02): : 235 - 238
  • [40] Asymptotic iteration method for solving Hahn difference equations
    MacQuarrie, Lucas
    Saad, Nasser
    Islam, Md Shafiqul
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
12345