Construction of third-order modifications of Newton's method

被引：11
|
作者：
Chun, Changbum [1 ]
机构：
[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期
关键词：
Newton's method; iterative methods; nonlinear equations; order of convergence;
D O I：
10.1016/j.amc.2006.11.127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an approach for constructing third-order modifications of Newton's method using second-order iteration formulas is presented. Several numerical examples are given to compare some of the newly obtained methods with the other third-order methods. (c) 2006 Elsevier Inc. All rights reserved..
引用
收藏
页码：662 / 668
页数：7
相关论文
共 50 条
  • [21] Some fourth-order modifications of Newton's method
    Chun, Changbum
    Ham, YoonMee
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 654 - 658
  • [22] On a Maximum Eigenvalue of Third-Order Pairwise Comparison Matrix in Analytic Hierarchy Process and Convergence of Newton’s Method
    Shiraishi S.
    Obata T.
    Operations Research Forum, 2 (3)
  • [23] Exact Newton method with third-order convergence to model the dynamics of bubbles in incompressible flow
    Laadhari, Aymen
    APPLIED MATHEMATICS LETTERS, 2017, 69 : 138 - 145
  • [24] A new third-order newton-type iterative method for solving nonlinear equations
    Ardelean, Gheorghe
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) : 9856 - 9864
  • [25] New modifications of second- and third-order periodograms
    Alekseev, VG
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 1998, 42 (04) : 559 - 567
  • [26] On the construction of asymmetric third-order rotatable designs
    Verma, Ankita
    Jaggi, Seema
    Varghese, Eldho
    Bhowmik, Arpan
    Varghese, Cini
    Datta, Anindita
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (24) : 8571 - 8591
  • [27] A family of fifth-order iterations composed of Newton and third-order methods
    Kou, Jisheng
    Li, Yitian
    Wang, Xiuhua
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 1258 - 1262
  • [28] Some modifications of Newton's method with fifth-order convergence
    Kou, Jisheng
    Li, Yitian
    Wang, Xiuhua
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 209 (02) : 146 - 152
  • [29] Some modifications of Newton's method with sixth-order convergence
    Su, Qi-Fang
    Chen, Shu-Ping
    PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY, 2007, : 256 - 260
  • [30] New third-order Newton-like method with lower iteration number and lower TNFE
    Pantelimon George Popescu
    Radu Poenaru
    Florin Pop
    Soft Computing, 2017, 21 : 459 - 466
12345