Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations
This paper proposes a hybridized Brazilian and Bowein derivative-free spectral gradient projection method for solving systems of convex-constrained nonlinear equations. The method avoids solving any subproblems in each iteration. Global convergence is established under appropriate assumptions on the...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724001139 |
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| author | Jitsupa Deepho Abdulkarim Hassan Ibrahim Auwal Bala Abubakar Maggie Aphane |
| author_facet | Jitsupa Deepho Abdulkarim Hassan Ibrahim Auwal Bala Abubakar Maggie Aphane |
| author_sort | Jitsupa Deepho |
| collection | DOAJ |
| description | This paper proposes a hybridized Brazilian and Bowein derivative-free spectral gradient projection method for solving systems of convex-constrained nonlinear equations. The method avoids solving any subproblems in each iteration. Global convergence is established under appropriate assumptions on the functions involved. Additionally, numerical experiments are conducted to evaluate the algorithm’s performance, providing evidence of its efficiency compared to similar algorithms from the existing literature. The results demonstrate that the method outperforms some existing approaches in terms of the number of iterations, function evaluations, and time required to obtain a solution based on the examples considered. |
| format | Article |
| id | doaj-art-a709a60c7d384a7ca9ac8fe0d95dfafa |
| institution | Kabale University |
| issn | 2666-7207 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-a709a60c7d384a7ca9ac8fe0d95dfafa2024-12-17T05:01:18ZengElsevierResults in Control and Optimization2666-72072024-12-0117100483Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equationsJitsupa Deepho0Abdulkarim Hassan Ibrahim1Auwal Bala Abubakar2Maggie Aphane3Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok, 19 Moo 11, Tambon Nonglalok, Amphur Bankhai, Rayong 21120 ThailandInterdisciplinary Research Center (IRC) for Smart Mobility and Logistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia; Corresponding author.Department of Art and Science, George Mason University, Songdomunhwa-ro 119-4 Yeonsu-gu, Incheon 21985, South Korea; Numerical Optimization Research Group, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Medunsa-0204, Pretoria, South AfricaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Medunsa-0204, Pretoria, South AfricaThis paper proposes a hybridized Brazilian and Bowein derivative-free spectral gradient projection method for solving systems of convex-constrained nonlinear equations. The method avoids solving any subproblems in each iteration. Global convergence is established under appropriate assumptions on the functions involved. Additionally, numerical experiments are conducted to evaluate the algorithm’s performance, providing evidence of its efficiency compared to similar algorithms from the existing literature. The results demonstrate that the method outperforms some existing approaches in terms of the number of iterations, function evaluations, and time required to obtain a solution based on the examples considered.http://www.sciencedirect.com/science/article/pii/S2666720724001139Nonexpansive mappingsDescent directionLipschitz continuityDecreasing sequenceDerivative-free methodGlobal convergence |
| spellingShingle | Jitsupa Deepho Abdulkarim Hassan Ibrahim Auwal Bala Abubakar Maggie Aphane Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations Results in Control and Optimization Nonexpansive mappings Descent direction Lipschitz continuity Decreasing sequence Derivative-free method Global convergence |
| title | Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations |
| title_full | Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations |
| title_fullStr | Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations |
| title_full_unstemmed | Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations |
| title_short | Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations |
| title_sort | hybridized brazilian bowein type spectral gradient projection method for constrained nonlinear equations |
| topic | Nonexpansive mappings Descent direction Lipschitz continuity Decreasing sequence Derivative-free method Global convergence |
| url | http://www.sciencedirect.com/science/article/pii/S2666720724001139 |
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