An improved three-term derivative-free method for solving nonlinear equations

被引:0
|
作者
Auwal Bala Abubakar
Poom Kumam
机构
[1] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory Science Laboratory Building, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTT
[3] Bayero University,Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCs), Science Laboratory Building, Faculty of Science
来源
关键词
Non-linear equations; Monotone equations; Derivative-free method; Projection method; 5K05; 90C06; 90C52; 90C56;
D O I
暂无
中图分类号
学科分类号
摘要
In this work, we proposed an improved three-term derivative-free method for solving system of nonlinear equations, which combines the ideas in Yan et al. (J Comput Appl Math 234:649–657, 2010) and Yuan and Zhang (J Comput Appl Math 286:186–195, 2015) with the projection method. The global convergence of the proposed method was established under some conditions. Numerical experiment shows that the method is efficient and promising compared to some existing ones.
引用
收藏
页码:6760 / 6773
页数:13
相关论文
共 50 条
  • [1] An improved three-term derivative-free method for solving nonlinear equations
    Abubakar, Auwal Bala
    Kumam, Poom
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05): : 6760 - 6773
  • [2] Modified three-term derivative-free projection method for solving nonlinear monotone equations with application
    Abdullahi, Muhammad
    Abubakar, Auwal Bala
    Muangchoo, Kanikar
    [J]. NUMERICAL ALGORITHMS, 2023, 95 (3) : 1459 - 1474
  • [3] Modified three-term derivative-free projection method for solving nonlinear monotone equations with application
    Muhammad Abdullahi
    Auwal Bala Abubakar
    Kanikar Muangchoo
    [J]. Numerical Algorithms, 2024, 95 : 1459 - 1474
  • [4] Two classes of spectral three-term derivative-free method for solving nonlinear equations with application
    Ibrahim, Abdulkarim Hassan
    Alshahrani, Mohammed
    Al-Homidan, Suliman
    [J]. NUMERICAL ALGORITHMS, 2024, 96 (04) : 1625 - 1645
  • [5] A three-term derivative-free projection method for nonlinear monotone system of equations
    Liu, J. K.
    Li, S. J.
    [J]. CALCOLO, 2016, 53 (03) : 427 - 450
  • [6] A three-term derivative-free projection method for nonlinear monotone system of equations
    J. K. Liu
    S. J. Li
    [J]. Calcolo, 2016, 53 : 427 - 450
  • [7] Comments on "A three-term derivative-free projection method for nonlinear monotone system of equations"
    Liu, J. K.
    Li, S. J.
    [J]. CALCOLO, 2017, 54 (04) : 1213 - 1215
  • [8] Comments on “A three-term derivative-free projection method for nonlinear monotone system of equations”
    J. K. Liu
    S. J. Li
    [J]. Calcolo, 2017, 54 : 1213 - 1215
  • [9] Derivative-Free Three-Term Spectral Conjugate Gradient Method for Symmetric Nonlinear Equations
    Waziri, Mohammed Yusuf
    Kufena, Muhammad Yusuf
    Halilu, Abubakar Sani
    [J]. THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1417 - 1431
  • [10] Scaled three-term derivative-free methods for solving large-scale nonlinear monotone equations
    Qun Li
    Bing Zheng
    [J]. Numerical Algorithms, 2021, 87 : 1343 - 1367