How to Improve the Domain of Starting Points for Steffensen's Method

被引：4
|
作者：
Ezquerro, J. A. [1 ]
Hernandez-Veron, M. A. [1 ]
机构：
[1] Univ La Rioja, Logrono 26004, Spain
来源：
STUDIES IN APPLIED MATHEMATICS | 2014年 / 132卷 / 04期
关键词：
CONVERGENCE; EQUATIONS; FAMILY;
D O I：
10.1111/sapm.12033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the semilocal convergence of Steffensen's method, using a novel technique, which is based on recurrence relations, for solving systems of nonlinear equations. This technique allows analyzing the convergence of Steffensen's method to solutions of equations, where the function involved can be both differentiable and nondifferentiable. Moreover, this technique also allows enlarging the domain of starting points for Steffensen's method from certain predictions with the simplified Steffensen method.
引用
收藏
页码：354 / 380
页数：27
相关论文
共 50 条
  • [31] Identification Method for Feature Points of Drivability Evaluation Indicators in Starting Condition
    Huang W.
    Liu H.
    Li M.
    Qiche Gongcheng/Automotive Engineering, 2019, 41 (03): : 259 - 265
  • [32] Destiny of Drives and the Triangular Method: Starting Points for a Psychoanalytic Philosophy of Sport
    Roble, Odilon Jose
    SPORT ETHICS AND PHILOSOPHY, 2024, 18 (01) : 7 - 22
  • [33] An optimization method with precomputed starting points for solving the inverse Mie problem
    Dyatlov, G. V.
    Gilev, K. V.
    Yurkin, M. A.
    Maltsev, V. P.
    INVERSE PROBLEMS, 2012, 28 (04)
  • [34] A multipopulation evolutionary framework with Steffensen’s method for dynamic multiobjective optimization problems
    Tianyu Liu
    Lei Cao
    Zhu Wang
    Memetic Computing, 2021, 13 : 477 - 495
  • [35] A multipopulation evolutionary framework with Steffensen's method for dynamic multiobjective optimization problems
    Liu, Tianyu
    Cao, Lei
    Wang, Zhu
    MEMETIC COMPUTING, 2021, 13 (04) : 477 - 495
  • [36] A two-step Steffensen's method under modified convergence conditions
    Amat, S.
    Busquier, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) : 1084 - 1092
  • [37] A variant of Steffensen's method of fourth-order convergence and its applications
    Liu, Zhongli
    Zheng, Quan
    Zhao, Peng
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (07) : 1978 - 1983
  • [38] Steffensen Iteration Based Alternating Solution Method for Time-domain Computation of Rigid Power System
    Huang Q.
    Zhang J.
    Liu Y.
    Dianli Xitong Zidonghua/Automation of Electric Power Systems, 2023, 47 (16): : 85 - 93
  • [39] Starting-points for an archaeology of literature: With a study on Jahnn's prose
    Tucker, B
    COLLOQUIA GERMANICA, 2001, 34 (01) : 87 - 88
  • [40] Alvin Ailey's Revelations Part Two: Starting Points and Analysis
    Sanders, Lorna
    DANCING TIMES, 2009, 100 (1191): : 20 - 22
12345