A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications

In this article, a hybrid approach technique incorporated with three-term conjugate gradient (CG) method is proposed to solve constrained nonlinear monotone operator equations. The search direction is defined such that it is close to the one obtained by the memoryless Broyden-Fletcher-Goldferb-Shann...

Full description

Saved in:
Bibliographic Details
Published in:Applied numerical mathematics Vol. 177; pp. 79 - 92
Main Authors: Abubakar, Auwal Bala, Kumam, Poom, Mohammad, Hassan, Ibrahim, Abdulkarim Hassan, Kiri, Aliyu Ibrahim
Format: Journal Article
Language:English
Published: Elsevier B.V 01.07.2022
Subjects:
Compressed sensing
Derivative-free projection method
Global convergence
Monotone operator equations
Global convergence
Monotone operator equations
Compressed sensing
Derivative-free projection method
ISSN:0168-9274, 1873-5460
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, a hybrid approach technique incorporated with three-term conjugate gradient (CG) method is proposed to solve constrained nonlinear monotone operator equations. The search direction is defined such that it is close to the one obtained by the memoryless Broyden-Fletcher-Goldferb-Shanno (BFGS) method. Independent of the line search, the search direction possesses the sufficient descent and trust region properties. Furthermore, the sequence of iterates generated converge globally under some appropriate assumptions. In addition, numerical experiments are carried out to test the efficiency of the proposed method in contrast with existing methods. Finally, the applicability of the proposed method in compressive sensing is shown.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2022.03.001