A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems
Unconstrained optimization problems arise in numerous fields. This study presents the introduction of a hybrid Polak-Ribi‘ere-Polyak(PRP)-Dai-Liao(DL) conjugate gradient(CG) method with a modified scalar for the purpose of solving large-scaled unconstrained optimiza tion problems. The proposed metho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Malaysia Perlis (UniMAP)
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/119837/ http://psasir.upm.edu.my/id/eprint/119837/1/119837.pdf |
| _version_ | 1848868064775372800 |
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| author | Marjugi, Siti Mahani Ishak, Muhammad Aqiil Iqmal |
| author_facet | Marjugi, Siti Mahani Ishak, Muhammad Aqiil Iqmal |
| author_sort | Marjugi, Siti Mahani |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Unconstrained optimization problems arise in numerous fields. This study presents the introduction of a hybrid Polak-Ribi‘ere-Polyak(PRP)-Dai-Liao(DL) conjugate gradient(CG) method with a modified scalar for the purpose of solving large-scaled unconstrained optimiza tion problems. The proposed method involves the modification of the scalar in the PRP-DL conjugate gradient method in order to improve the performance of the algorithm, specifically when addressing large-scale problems. The convergence analysis of the proposed method is established and proved under the strong Wolfe-Powell line search. Numerical results on various test functions show that the proposed method is more efficient and robust than several existing CG methods. Overall, the proposed method is a new promising CG method for solving unconstrained optimization problems |
| first_indexed | 2025-11-15T14:46:27Z |
| format | Article |
| id | upm-119837 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:46:27Z |
| publishDate | 2024 |
| publisher | Universiti Malaysia Perlis (UniMAP) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1198372025-09-11T02:44:30Z http://psasir.upm.edu.my/id/eprint/119837/ A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems Marjugi, Siti Mahani Ishak, Muhammad Aqiil Iqmal Unconstrained optimization problems arise in numerous fields. This study presents the introduction of a hybrid Polak-Ribi‘ere-Polyak(PRP)-Dai-Liao(DL) conjugate gradient(CG) method with a modified scalar for the purpose of solving large-scaled unconstrained optimiza tion problems. The proposed method involves the modification of the scalar in the PRP-DL conjugate gradient method in order to improve the performance of the algorithm, specifically when addressing large-scale problems. The convergence analysis of the proposed method is established and proved under the strong Wolfe-Powell line search. Numerical results on various test functions show that the proposed method is more efficient and robust than several existing CG methods. Overall, the proposed method is a new promising CG method for solving unconstrained optimization problems Universiti Malaysia Perlis (UniMAP) 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/119837/1/119837.pdf Marjugi, Siti Mahani and Ishak, Muhammad Aqiil Iqmal (2024) A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems. Applied Mathematics and Computational Intelligence, 14 (1). pp. 1-20. ISSN 2289-1315; eISSN: 2289-1323 https://ejournal.unimap.edu.my/index.php/amci/article/view/1363 10.58915/amci.v14i1.1363 |
| spellingShingle | Marjugi, Siti Mahani Ishak, Muhammad Aqiil Iqmal A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title | A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title_full | A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title_fullStr | A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title_full_unstemmed | A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title_short | A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems |
| title_sort | scalar modification of three-term prp-dl conjugate gradient method for solving large-scaled unconstrained optimization problems |
| url | http://psasir.upm.edu.my/id/eprint/119837/ http://psasir.upm.edu.my/id/eprint/119837/ http://psasir.upm.edu.my/id/eprint/119837/ http://psasir.upm.edu.my/id/eprint/119837/1/119837.pdf |