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

被引：44
|
作者：
Abubakar, Auwal Bala [1 ,2 ]
Kumam, Poom [1 ,3 ]
机构：
[1] KMUTT, KMUTTFixed Point Res Lab, Dept Math, Fac Sci,Room SCL 802 Fixed Point Lab, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[2] KMUTT, KMUTT Fixed Point Theory & Applicat Res Grp, Theoret & Computat Sci Ctr TaCs, Fac Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[3] Bayero Univ, Fac Phys Sci, Dept Math Sci, Kano, Kano, Nigeria
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期
关键词：
Non-linear equations; Monotone equations; Derivative-free method; Projection method; CONJUGATE-GRADIENT ALGORITHM; QUASI-NEWTON METHODS; PROJECTION METHOD; OPTIMIZATION; SYSTEMS; CONVERGENCE;
D O I：
10.1007/s40314-018-0712-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：14
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