Based on the physical system of the analysis and research in Newton's method

被引:0
|
作者
Wang, Chenglong [1 ]
XuesongZhou [1 ]
Ma, Youjie [1 ]
机构
[1] Tianjin Univ Technol, Key Res Lab Control Theory & Applicat Complicated, Tianjin 300384, Peoples R China
基金
中国国家自然科学基金;
关键词
Newton iterative method; nonlinear equation; MATLAB; equation root;
D O I
10.1109/ccdc.2019.8832818
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Newton iteration method, also known as Newton tangent method, is a method for solving nonlinear equations. Its greatest advantage is that it has a square convergence around a single root of the equation f (x)= 0 , and the method can also be used to find the equation. Heavy roots, complex roots. The theoretical basis and some characteristics of the method are introduced by examples. The realization process of solving the model by using the cow pull method is given, and the root of a system of equations is calculated by MATLAB simulation to show that the method is feasible.
引用
收藏
页码:206 / 211
页数:6
相关论文
共 50 条
  • [31] NEWTON'S METHOD FOR MONTE CARLO-BASED RESIDUALS
    Willert, Jeffrey
    Chen, Xiaojun
    Kelley, C. T.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (04) : 1738 - 1757
  • [32] A new variant of Newton's method based on equidistant nodes
    Zhang, Li
    Li, Song
    Yang, Yan
    Tan, Jieqing
    Journal of Information and Computational Science, 2013, 10 (16): : 5163 - 5170
  • [33] A New Variant of Newton's Method Based on Power Mean
    Ralevic, Nebojsa M.
    Lukic, Tibor
    2009 7TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2009, : 103 - 106
  • [35] Enhancing Newton's method
    Shammas, NC
    DR DOBBS JOURNAL, 2002, 27 (06): : 94 - 97
  • [36] The theory of Newton's method
    Galántai, A
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 124 (1-2) : 25 - 44
  • [37] On Newton's method of approximation
    Fine, HB
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1916, 2 : 546 - 552
  • [38] On the extended Newton's method
    Berinde, V
    ADVANCES IN DIFFERENCE EQUATIONS-BOOK, 1997, : 81 - 88
  • [39] IMPLEMENTING NEWTON'S METHOD
    Neuerburg, Kent M.
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2007, 19 (02) : 131 - 140
  • [40] Generalizations of Newton's method
    Gilbert, WJ
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2001, 9 (03) : 251 - 262