New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications

被引：15

作者：

Abubakar, Auwal Bala ^{[1
,2
,3
]}

Kumam, Poom ^{[1
,4
,6
]}

Ibrahim, Abdulkarim Hassan ^{[1
]}

Chaipunya, Parin ^{[4
,5
]}

Rano, Sadiya Ali ^{[2
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fixed Point Res Lab,Fixed Point Theory & Applicat, 126 Pracha Uthit Rd,Bang Mod,Thung Khru, Bangkok 10140, Thailand

[2] Bayero Univ Kano, Fac Phys Sci, Dept Math Sci, Kano 700241, Nigeria

[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Ga Rankuwa, South Africa

[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha Uthit Rd,Bang Mod,Thung Khru, Bangkok 10140, Thailand

[5] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, NCAO Res Ctr,Fixed Point Theory & Applicat Res Grp, 126 Pracha Uthit Rd,Bang Mod,Thung Khru, Bangkok 10140, Thailand

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2022年 / 201卷

关键词：

Non-linear equations; Conjugate gradient; Projection map; Signal recovery; PROJECTION METHOD; ALGORITHMS; SYSTEMS; SPARSE; SIGNAL;

D O I：

10.1016/j.matcom.2021.07.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we present a new hybrid spectral-conjugate gradient (SCG) algorithm for finding approximate solutions to nonlinear monotone operator equations. The hybrid conjugate gradient parameter has the Polak-Ribiere-Polyak (PRP), Dai- Yuan (DY), Hestenes-Stiefel (HS) and Fletcher-Reeves (FR) as special cases. Moreover, the spectral parameter is selected such that the search direction has the descent property. Also, the search directions are bounded and the sequence of iterates generated by the new hybrid algorithm converge globally. Furthermore, numerical experiments were conducted on some benchmark nonlinear monotone operator equations to assess the efficiency of the proposed algorithm. Finally, the algorithm is shown to have the ability to recover disturbed signals. (c) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：670 / 683

页数：14

共 42 条

[1]

Abubakar A.B., 2020, Appl. Anal. Optim., V4, P1

[2] FR-type algorithm for finding approximate solutions to nonlinear monotone operator equations [J].