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

Auwal Bala Abubakar; Poom Kumam; Aliyu Muhammed Awwal

Results in Applied Mathematics (Dec 2019)

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

Auwal Bala Abubakar,
Poom Kumam,
Aliyu Muhammed Awwal

Affiliations

Auwal Bala Abubakar: KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand; Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano, Kano, Nigeria
Poom Kumam: KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand; Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand; Corresponding author. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
Aliyu Muhammed Awwal: KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand; Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria

Journal volume & issue: Vol. 4

Abstract

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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. Keywords: Non-linear equations, Conjugate gradient method, Projection method, Convex constraints, MSC: 65K05, 90C52, 90C56, 52A20

Published in Results in Applied Mathematics

ISSN: 2590-0374 (Online)
Publisher: Elsevier
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/results-in-applied-mathematics/

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