A derivative-free three-term Hestenes-Stiefel type method for constrained nonlinear equations and image restoration

被引：33

作者：

Hassan Ibrahim, Abdulkarim ^{[1
,2
]}

Kumam, Poom ^{[1
,2
,3
]}

Hassan, Basim A. ^{[4
]}

Bala Abubakar, Auwal ^{[5
,6
]}

Abubakar, Jamilu ^{[7
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTTFixed Point Res Lab,Fixed Point Lab, Room SCL 802,Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCSC CoE, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq

[5] Bayero Univ Kano, Fac Phys Sci, Dept Math Sci, Kano, Nigeria

[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Pretoria, South Africa

[7] Usmanu Danfodiyo Univ, Dept Math, Sokoto, Nigeria

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 05期

关键词：

Unconstrained optimization; nonlinear equations; conjugate gradient method; projection method; derivative-free method; compressive sensing; CONJUGATE-GRADIENT METHOD; FREE ITERATIVE METHOD; MONOTONE EQUATIONS; PROJECTION METHOD; ALGORITHM; CONVERGENCE; SYSTEMS; DESCENT;

D O I：

10.1080/00207160.2021.1946043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a derivative-free Hestenes-Stielfel type method is proposed to solve large-scale nonlinear equations with convex constraints. The proposed method adopts the line search proposed by Ou and Li [J. Comput. Appl. Math. 56(1-2) (2018), pp. 195-216]. Unlike most existing methods, the global convergence of the proposed method is established under the assumption that the underlying mapping is Lipschitz continuous and satisfies a weaker monotonicity condition. Preliminary numerical experiments indicate that the proposed method is effective and promising. Furthermore, the proposed method is used to solve image restoration problem in compressive sensing.

引用

页码：1041 / 1065

页数：25

共 56 条

[1]

Abubakar AB., 2020, Appl. Anal. Optim., V4, P1

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