Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery

In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions. Numerical examples presented indicate that the algorithm has a very good performa...

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Veröffentlicht in:Results in applied mathematics Jg. 4; S. 100069
Hauptverfasser: Abubakar, Auwal Bala, Kumam, Poom, Awwal, Aliyu Muhammed
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.12.2019
Elsevier
Schlagworte:
52A20
65K05
90C52
90C56
Conjugate gradient method
Convex constraints
Non-linear equations
Projection method
Conjugate gradient method
Projection method
52A20
Non-linear equations
65K05
90C52
90C56
Convex constraints
ISSN:2590-0374, 2590-0374
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions. Numerical examples presented indicate that the algorithm has a very good performance in solving monotone nonlinear equations. Finally, the algorithm is applied to solve signal recovery problems.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2019.100069