A modified Newton-type method with sixth-order convergence for solving nonlinear equations

被引：1
|
作者：
Fang, Liang [1 ]
Chen, Tao [1 ]
Tian, Li [1 ]
Sun, Li [1 ]
Chen, Bin [2 ]
机构：
[1] Taishan Univ, Coll Math & Syst Sci, Tai An 271021, Shandong, Peoples R China
[2] Taishan Expt Midlle Sch, Math Educ Res Group, Tai An 271000, Shandong, Peoples R China
来源：
CEIS 2011 | 2011年 / 15卷
关键词：
Newton-type method; Nonlinear equations; Order of convergence; Iterative method; Efficiency index;
D O I：
10.1016/j.proeng.2011.08.586
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present and analyze a sixth-order convergent iterative method for solving nonlinear equations. The method is free from second derivatives and permits f'(x) = 0 in iteration points. Some numerical examples illustrate that the presented method is more efficient and performs better than classical Newton's method. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]
引用
收藏
页数：5
相关论文
共 50 条
  • [21] On the convergence of extended Newton-type method for solving variational inclusions
    Rashid, M. H.
    COGENT MATHEMATICS, 2014, 1
  • [22] A third-order Newton-type method to solve systems of nonlinear equations
    Darvishi, M. T.
    Barati, A.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 630 - 635
  • [23] Applied Information Technology with a Modified Sixth-Order Convergent Iterative Method for Nonlinear Equations
    Fang, Liang
    Pang, Lin
    MANUFACTURING, DESIGN SCIENCE AND INFORMATION ENGINEERING, VOLS I AND II, 2015, : 1343 - 1349
  • [24] A new fourth order Newton-type method for solution of system of nonlinear equations
    Khan, Waseem Asghar
    Noor, Khalida Inayat
    Bhatti, Kaleemulah
    Ansari, Faryal Aijaz
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 724 - 730
  • [25] An optimal and low computational cost fractional Newton-type method for solving nonlinear equations
    Candelario, Giro
    Cordero, Alicia
    Torregrosa, Juan R.
    Vassileva, Maria P.
    APPLIED MATHEMATICS LETTERS, 2022, 124
  • [26] A Variant of Newton Method with Eighth-order Convergence for Solving Nonlinear Equations
    Fang, Liang
    MECHATRONICS AND INTELLIGENT MATERIALS II, PTS 1-6, 2012, 490-495 : 51 - 55
  • [27] Newton-Type Method for Solving Systems of Linear Equations and Inequalities
    Golikov, A. I.
    Evtushenko, Yu. G.
    Kaporin, I. E.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019, 59 (12) : 2017 - 2032
  • [28] Convergence analysis of a variant of Newton-type method for generalized equations
    Rashid, M. H.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (03) : 584 - 600
  • [29] A new sixth-order Jarratt-type iterative method for systems of nonlinear equations
    Yaseen, Saima
    Zafar, Fiza
    ARABIAN JOURNAL OF MATHEMATICS, 2022, 11 (03) : 585 - 599
  • [30] Newton-Type Method for Solving Systems of Linear Equations and Inequalities
    A. I. Golikov
    Yu. G. Evtushenko
    I. E. Kaporin
    Computational Mathematics and Mathematical Physics, 2019, 59 : 2017 - 2032
12345