Some new iterative methods with three-order convergence

被引：13
|
作者：
Chen, Jinhai [1 ]
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期
关键词：
iterative formulae; Newton's method; order of convergence;
D O I：
10.1016/j.amc.2006.02.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new iterative formulae having three-order convergence are discussed in this paper. The theoretical analysis and numerical experiments show that new iterative formulae are effective and comparable to well-known method of Newton and Stefensen method. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：1519 / 1522
页数：4
相关论文
共 50 条
  • [1] A note on some new iterative methods with third-order convergence
    Wu, Qingbiao
    Ren, Hongmin
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1790 - 1793
  • [2] Comparison of Iterative Methods with order of Convergence Three and Four
    Mateva, T. P.
    DILEMAS CONTEMPORANEOS-EDUCACION POLITICA Y VALORES, 2019, 6
  • [3] NOTE ON THE ESTIMATION OF THE ORDER OF CONVERGENCE OF SOME ITERATIVE METHODS
    KJURKCHIEV, N
    BIT, 1992, 32 (03): : 525 - 528
  • [4] A Power Flow Algorithm with Three-order Convergence rate
    Sun Yingyun
    Liu Dong
    He Guangyu
    Mei Shengwei
    2009 ASIA-PACIFIC POWER AND ENERGY ENGINEERING CONFERENCE (APPEEC), VOLS 1-7, 2009, : 1860 - 1863
  • [5] Ball convergence of some fourth and sixth-order iterative methods
    Argyros, Ioannis K.
    George, Santhosh
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (02)
  • [6] ON THE CONVERGENCE OF SOME GENERALIZED ITERATIVE METHODS
    HADJIDIMOS, A
    PSIMARNI, A
    YEYIOS, A
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1986, 75 : 117 - 132
  • [7] Increasing in three units the order of convergence of iterative methods for solving nonlinear systems
    Cordero, Alicia
    Leonardo-Sepulveda, Miguel A.
    Torregrosa, Juan R.
    Vassileva, Maria P.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 223 : 509 - 522
  • [8] Three-step iterative methods with optimal eighth-order convergence
    Cordero, Alicia
    Torregrosa, Juan R.
    Vassileva, Maria P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (10) : 3189 - 3194
  • [9] On the complexity of convergence for high order iterative methods
    Argyros, Ioannis K.
    George, Santhosh
    Argyros, Christoper
    JOURNAL OF COMPLEXITY, 2022, 73
  • [10] Efficient three-step iterative methods with sixth order convergence for nonlinear equations
    Cordero, Alicia
    Hueso, Jose L.
    Martinez, Eulalia
    Torregrosa, Juan R.
    NUMERICAL ALGORITHMS, 2010, 53 (04) : 485 - 495
12345