The Third Order Mean-Based Jarratt-Type Method for Finding Simple Roots of Nonlinear Equation

被引:0
|
作者
Ralevic, Nebojsa M. [1 ]
Cebic, Dejan [1 ]
Pavkov, Ivan [2 ]
机构
[1] Univ Novi Sad, Fac Engn, Trg Dositeja Obradovica 6, Novi Sad 21000, Serbia
[2] Novi Sad Business Sch, Higher Educ Inst Appl Studies, Novi Sad 21000, Serbia
来源
IEEE 13TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS (SISY) | 2015年
关键词
Nonlinear equation; Newton's method; Jarratt's method; Mean-based methods; Third-order of convergence; NEWTONS METHOD; ITERATIVE METHODS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper presents a new variant of the third-order iterative scheme for finding a simple root of nonlinear equation. The new scheme is a combination of Jarratt's method and the mean-based Newton's method of the third order. It is numerically compared with several relevant mean-based two-step methods, and the test examples agree with the theoretical analysis.
引用
收藏
页码:123 / 126
页数:4
相关论文
共 24 条
  • [21] Fifth-Order Iterative Method for Solving Multiple Roots of the Highest Multiplicity of Nonlinear Equation
    Liang, Juan
    Li, Xiaowu
    Wu, Zhinan
    Zhang, Mingsheng
    Wang, Lin
    Pan, Feng
    ALGORITHMS, 2015, 8 (03): : 656 - 668
  • [22] A new fourth-order iterative method for finding multiple roots of nonlinear equations
    Li Shengguo
    Liao Xiangke
    Cheng Lizhi
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1288 - 1292
  • [23] A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method
    Golbabai, A.
    Javidi, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) : 199 - 205
  • [24] A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods
    Sharma, Rajni
    Bahl, Ashu
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 105 - 117