Two conditions concerning Newton's method

被引:2
|
作者
Wu, Min [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
关键词
Newton's method; majorizing function; center Lipschitz condition;
D O I
10.1016/j.amc.2007.04.035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we compare two conditions concerning Newton's method, and find out that even under some weaker condition one has the convergence of the Newton's method and a better error bound than the relative strong condition. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:102 / 107
页数:6
相关论文
共 50 条
  • [21] On the convergence region of Newton's method under Holder continuity conditions
    Argyros, Ioannis K.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (02) : 317 - 326
  • [22] Majorizing sequences for Newton's method under centred conditions for the derivative
    Argyros, I. K.
    Gonzalez, D.
    Magrenan, A. A.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (12) : 2568 - 2583
  • [23] Newton’s method
    Vivek S. Borkar
    Resonance, 2002, 7 (1) : 31 - 36
  • [24] Concerning the Convergence of a Modified Newton-Like Method
    Argyros, Ioannis K.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1999, 18 (03): : 785 - 792
  • [25] Newton's method
    Meza, Juan C.
    WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 2011, 3 (01) : 75 - 78
  • [26] Two-Level Newton's Method for Nonlinear Elliptic PDEs
    He, Yinnian
    Zhang, Yan
    Xu, Hui
    JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (01) : 124 - 145
  • [27] Two-Level Newton’s Method for Nonlinear Elliptic PDEs
    Yinnian He
    Yan Zhang
    Hui Xu
    Journal of Scientific Computing, 2013, 57 : 124 - 145
  • [28] A note on inexact gradient and Hessian conditions for cubic regularized Newton's method
    Wang, Zhe
    Zhou, Yi
    Liang, Yingbin
    Lan, Guanghui
    OPERATIONS RESEARCH LETTERS, 2019, 47 (02) : 146 - 149
  • [29] Newton’s method, differential equations, and the lagrangian principle for necessary extremum conditions
    G. G. Magaril-Il’yaev
    V. M. Tikhomirov
    Proceedings of the Steklov Institute of Mathematics, 2008, 262 : 149 - 169
  • [30] Newton's method: sufficient conditions for practical and input-to-state stability
    Colabufo, Giuseppe G.
    Dower, Peter M.
    Shames, Iman
    IFAC PAPERSONLINE, 2020, 53 (02): : 6334 - 6339