Efficient Three-point Iterative Methods for Solving Nonlinear Equations

被引：0
|
作者：
Wang, Xiaofeng [1 ]
机构：
[1] Bohai Univ, Sch Math & Phys, Jinzhou 121013, Liaoning, Peoples R China
来源：
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON MECHATRONICS, MATERIALS, CHEMISTRY AND COMPUTER ENGINEERING 2015 (ICMMCCE 2015) | 2015年 / 39卷
关键词：
Multipoint iterative methods; Nonlinear equations; Convergence order;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we present a new family of three-point Newton type iterative methods for solving nonlinear equations. The order of convergence of the new family without memory is eight requiring the evaluations of three functions and one first-order derivative in per full iteration. Numerical examples are demonstrated to confirm theoretical results.
引用
收藏
页码：504 / 507
页数：4
相关论文
共 50 条
  • [21] Several two-point with memory iterative methods for solving nonlinear equations
    Choubey N.
    Panday B.
    Jaiswal J.P.
    [J]. Afrika Matematika, 2018, 29 (3-4) : 435 - 449
  • [22] On some families of multi-point iterative methods for solving nonlinear equations
    Nedzhibov, Gyurhan H.
    Hasanov, Vejdi I.
    Petkov, Milko G.
    [J]. NUMERICAL ALGORITHMS, 2006, 42 (02) : 127 - 136
  • [23] A family of multi-point iterative methods for solving systems of nonlinear equations
    Nedzhibov, Gyurhan H.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) : 244 - 250
  • [24] Modified families of multi-point iterative methods for solving nonlinear equations
    V. Kanwar
    S. K. Tomar
    [J]. Numerical Algorithms, 2007, 44 : 381 - 389
  • [25] On some families of multi-point iterative methods for solving nonlinear equations
    Gyurhan H. Nedzhibov
    Vejdi I. Hasanov
    Milko G. Petkov
    [J]. Numerical Algorithms, 2006, 42 : 127 - 136
  • [26] Efficient Families of Multi-Point Iterative Methods and Their Self-Acceleration with Memory for Solving Nonlinear Equations
    Thangkhenpau, G.
    Panday, Sunil
    Bolundut, Liviu C.
    Jantschi, Lorentz
    [J]. SYMMETRY-BASEL, 2023, 15 (08):
  • [27] Improved iterative methods for solving nonlinear equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 184 (02) : 270 - 275
  • [28] Some efficient derivative-free iterative methods for solving nonlinear equations
    [J]. Shah, Farooq Ahmed (farooqhamdani@gmail.com), 1600, National Institute of Optoelectronics (10): : 3 - 4
  • [29] Some new efficient multipoint iterative methods for solving nonlinear systems of equations
    Lotfi, Taher
    Bakhtiari, Parisa
    Cordero, Alicia
    Mahdiani, Katayoun
    Torregrosa, Juan R.
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (09) : 1921 - 1934
  • [30] Two new efficient sixth order iterative methods for solving nonlinear equations
    Solaiman, Obadah Said
    Hashim, Ishak
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 701 - 705
12345