Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

被引：6
|
作者：
Abdullahi, Muhammad [1 ,2 ,3 ]
Abubakar, Auwal Bala [2 ,4 ]
Muangchoo, Kanikar [5 ]
机构：
[1] Sule Lamido Univ, Fac Nat & Appl Sci, Dept Math, Kafin Hausa, Nigeria
[2] Bayero Univ, Fac Phys Sci, Dept Math Sci, Numer Optimizat Res Grp, Kano, Nigeria
[3] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
[4] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa Medunsa, ZA-0204 Pretoria, South Africa
[5] Rajamangala Univ Technol Phra Nakhon RMUTP, Fac Sci & Technol, Dept Math & Stat, 1381 Pracharat 1 Rd, Bangkok 10800, Thailand
来源：
NUMERICAL ALGORITHMS | 2023年 / 95卷 / 3期
关键词：
Projection algorithm; Monotone nonlinear equations; Global convergence; Image restoration; SUPERLINEAR CONVERGENCE; BFGS METHOD;
D O I：
10.1007/s11075-023-01616-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new modification of a three-term derivative-free projection algorithm for solving a system of monotone nonlinear equations. The global convergence was proved under some suitable conditions, and the search direction of the proposed algorithm satisfies the sufficient descent property. Numerical computations were presented to display the efficacy of the proposed algorithm compared to some existing algorithms. Moreover, the proposed algorithm is applied to solve problems of image recovery.
引用
收藏
页码：1459 / 1474
页数：16
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