The Secant Method for Root Finding, Viewed as a Dynamical System

被引:0
|
作者
Bedford, Eric
Frigge, Paul
机构
来源
DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2018年 / 11卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The secant method is a procedure for approximating the zeros of a function. We will explore the behavior of this procedure in the case of univariate rational functions for arbitrary starting points, whether or not there is convergence to a zero.
引用
收藏
页码:122 / 129
页数:8
相关论文
共 50 条
  • [31] The String Method as a Dynamical System
    Cameron, Maria
    Kohn, Robert V.
    Vanden-Eijnden, Eric
    JOURNAL OF NONLINEAR SCIENCE, 2011, 21 (02) : 193 - 230
  • [32] The String Method as a Dynamical System
    Maria Cameron
    Robert V. Kohn
    Eric Vanden-Eijnden
    Journal of Nonlinear Science, 2011, 21 : 193 - 230
  • [33] The secant method for nondifferentiable operators
    Hernández, MA
    Rubio, MJ
    APPLIED MATHEMATICS LETTERS, 2002, 15 (04) : 395 - 399
  • [34] SECANT MODIFICATION OF NEWTONS METHOD
    JEEVES, TA
    COMMUNICATIONS OF THE ACM, 1958, 1 (08) : 9 - 10
  • [35] Finding the root
    Nature, 2014, 512 : 231 - 231
  • [36] Finding the root
    不详
    NATURE, 2014, 512 (7514) : 232 - 232
  • [37] AN ERROR ANALYSIS FOR THE SECANT METHOD
    POTRA, FA
    NUMERISCHE MATHEMATIK, 1982, 38 (03) : 427 - 445
  • [38] HEURISTIC SEARCH VIEWED AS PATH FINDING IN A GRAPH
    POHL, I
    ARTIFICIAL INTELLIGENCE, 1970, 1 (03) : 193 - 204
  • [39] Evaluation of an S-system root-finding method for estimating parameters in a metabolic reaction model
    Iwata, Michio
    Miyawaki-Kuwakado, Atsuko
    Yoshida, Erika
    Komori, Soichiro
    Shiraishi, Fumihide
    MATHEMATICAL BIOSCIENCES, 2018, 301 : 21 - 31
  • [40] THE SECANT METHOD AND THE GOLDEN MEAN
    MARON, MJ
    LOPEZ, RJ
    AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (07): : 676 - 678