New family of iterative methods for nonlinear equations

被引:27
|
作者
Noor, Muhammad Aslam [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
关键词
multi-step methods; convergence; decomposition methods; numerical examples;
D O I
10.1016/j.amc.2007.01.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we suggest and analyze a new family of iterative methods for solving nonlinear equations using the system of coupled equations coupled with decomposition technique. Several numerical examples are given to illustrate the efficiency and performance of the new methods. These new iterative methods may be viewed as an extension and generalization of the existing methods for solving nonlinear equations. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:553 / 558
页数:6
相关论文
共 50 条
  • [11] A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
    Chun, Changbum
    Lee, Mi Young
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 223 : 506 - 519
  • [12] A Family of Newton Type Iterative Methods for Solving Nonlinear Equations
    Wang, Xiaofeng
    Qin, Yuping
    Qian, Weiyi
    Zhang, Sheng
    Fan, Xiaodong
    ALGORITHMS, 2015, 8 (03): : 786 - 798
  • [13] New iterative methods for nonlinear equations by modified HPM
    Golbabai, A.
    Javidi, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) : 122 - 127
  • [14] A note on "New classes of iterative methods for nonlinear equations'' and "Some iterative methods free from second derivatives for nonlinear equations''
    Rafiq, Arif
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (02) : 572 - 576
  • [15] Iterative methods to nonlinear equations
    Javidi, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (02) : 360 - 365
  • [16] On iterative methods for nonlinear equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Khan, Waseem Asghar
    Ahmad, Faizan
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) : 128 - 133
  • [17] New Family of Iterative Methods for Solving Nonlinear Models
    Ali, Faisal
    Aslam, Waqas
    Ali, Kashif
    Anwar, Muhammad Adnan
    Nadeem, Akbar
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [18] A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
    Wang, Xiaofeng
    Zhang, Tie
    CALCOLO, 2014, 51 (01) : 1 - 15
  • [19] New family of iterative methods based on the Ermakov–Kalitkin scheme for solving nonlinear systems of equations
    D. A. Budzko
    A. Cordero
    J. R. Torregrosa
    Computational Mathematics and Mathematical Physics, 2015, 55 : 1947 - 1959
  • [20] A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
    Xiaofeng Wang
    Tie Zhang
    Calcolo, 2014, 51 : 1 - 15