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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-12-01
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| Series: | Results in Applied Mathematics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S259003741930069X |
| _version_ | 1811344777920118784 |
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| author | Auwal Bala Abubakar Poom Kumam Aliyu Muhammed Awwal |
| author_facet | Auwal Bala Abubakar Poom Kumam Aliyu Muhammed Awwal |
| author_sort | Auwal Bala Abubakar |
| collection | DOAJ |
| description | 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 |
| first_indexed | 2024-04-13T19:53:05Z |
| format | Article |
| id | doaj.art-bb1a6b1f01a24fc3a0aecf5c13b5b8ea |
| institution | Directory Open Access Journal |
| issn | 2590-0374 |
| language | English |
| last_indexed | 2024-04-13T19:53:05Z |
| publishDate | 2019-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj.art-bb1a6b1f01a24fc3a0aecf5c13b5b8ea2022-12-22T02:32:28ZengElsevierResults in Applied Mathematics2590-03742019-12-014Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recoveryAuwal Bala Abubakar0Poom Kumam1Aliyu Muhammed Awwal2KMUTTFixed 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, NigeriaKMUTTFixed 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.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, NigeriaIn 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, 52A20http://www.sciencedirect.com/science/article/pii/S259003741930069X |
| spellingShingle | Auwal Bala Abubakar Poom Kumam Aliyu Muhammed Awwal Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery Results in Applied Mathematics |
| title | Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery |
| title_full | Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery |
| title_fullStr | Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery |
| title_full_unstemmed | Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery |
| title_short | Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery |
| title_sort | global convergence via descent modified three term conjugate gradient projection algorithm with applications to signal recovery |
| url | http://www.sciencedirect.com/science/article/pii/S259003741930069X |
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