Derivative-free HS-DY-type method for solving nonlinear equations and image restoration

被引：24
|
作者：
Abubakar, Auwal Bala [1 ,2 ,3 ]
Kumam, Poom [1 ,4 ]
Ibrahim, Abdulkarim Hassan [1 ]
Rilwan, Jewaidu [1 ,2 ]
机构：
[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Dept Math, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
[2] Bayero Univ, Fac Phys Sci, Dept Math Sci, Kano, Nigeria
[3] Bayero Univ, Numer Optimizat Res Grp, Kano, Nigeria
[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Theoret & Computat Sci Ctr TaCS, KMUTT Fixed Point Theory & Applicat Res Grp, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand
来源：
HELIYON | 2020年 / 6卷 / 11期
关键词：
Mathematics; Nonlinear equations; Conjugate gradient; Projection method; Image restoration; CONJUGATE-GRADIENT METHOD; PROJECTION METHOD; MONOTONE EQUATIONS; BFGS METHOD; SYSTEMS; ALGORITHM; SPARSE; SIGNAL;
D O I：
10.1016/j.heliyon.2020.e05400
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A derivative-free conjugate gradient algorithm for solving nonlinear equations and image restoration is proposed. The conjugate gradient (CG) parameter of the proposed algorithm is a convex combination of Hestenes-Stiefel (HS) and Dai-Yuan (DY) type CG parameters. The search direction is descent and bounded. Under suitable assumptions, the convergence of the proposed hybrid algorithm is obtained. Using some benchmark test problems, the proposed algorithm is shown to be efficient compared with existing algorithms. In addition, the proposed algorithm is effectively applied to solve image restoration problems.
引用
收藏
页数：14
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