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
下载
收藏
页码：122 / 129
页数：8
相关论文
共 50 条
  • [1] Newton's Method as a Dynamical System: Efficient Root Finding of Polynomials and the Riemann ζ Function
    Schleicher, Dierk
    HOLOMORPHIC DYNAMICS AND RENORMALIZATION:: A VOLUME IN HONOUR OF JOHN MILNOR'S 75TH BIRTHDAY, 2008, 53 : 213 - 224
  • [2] METHODS WITHOUT SECANT STEPS FOR FINDING A BRACKETED ROOT
    KING, RF
    COMPUTING, 1976, 17 (01) : 49 - 57
  • [3] Convergence ball of a modified secant method for finding zero of derivatives
    Wu, QB
    Ren, HM
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) : 24 - 33
  • [4] A PROGRAM SYSTEM FOR ROOT FINDING
    RIEDEL, W
    LECTURE NOTES IN COMPUTER SCIENCE, 1985, 204 : 154 - 154
  • [5] Exotic dynamical evolution in a secant-pulse-driven quantum system
    Zhao, Peng-Ju
    Li, Wei
    Cao, Hong
    Yao, Shao-Wu
    Cen, Li-Xiang
    PHYSICAL REVIEW A, 2018, 98 (02)
  • [6] AN IMPROVEMENT OF THE OSTROWSKI ROOT FINDING METHOD
    POPOVSKI, DB
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (05): : T303 - T305
  • [7] A root-finding method for eigenproblem
    Li, K
    Li, TY
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2000, 25 (2A) : 121 - 130
  • [8] Root finding method for problems of elastodynamics
    Krushynska, Anastasiya A.
    Computer Assisted Mechanics and Engineering Sciences, 2010, 17 (01): : 3 - 11
  • [9] From Halley to Secant: Redefining root finding with memory-based methods including convergence and stability
    Qureshi, Sania
    Soomro, Amanullah
    Naseem, Amir
    Gdawiec, Krzysztof
    Argyros, Ioannis K.
    Alshaery, Aisha A.
    Secer, Aydin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (07) : 5509 - 5531
  • [10] On the Secant method
    Argyros, I. K.
    Khattri, S. K.
    JOURNAL OF COMPLEXITY, 2013, 29 (06) : 454 - 471
12345