A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method
In this paper, we derive a new parameter µk-1 for the three-term CG (N3T) algorithm for solving unconstrained optimization problems. As demonstrated by its calculations and proof, the parameter µk-1 worth is determined by T , and the study mentions four different types of T . The...
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Mosul University
2023-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_179508_e0efdbaca6348b2e3adab3d64a0d9678.pdf |
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| author | Ghada Al-Naemi Samaa Al-bakri |
| author_facet | Ghada Al-Naemi Samaa Al-bakri |
| author_sort | Ghada Al-Naemi |
| collection | DOAJ |
| description | In this paper, we derive a new parameter µk-1 for the three-term CG (N3T) algorithm for solving unconstrained optimization problems. As demonstrated by its calculations and proof, the parameter µk-1 worth is determined by T , and the study mentions four different types of T . The search directions of this algorithm are always sufficiently descent when using strong Wolfe line search (SWC). Under reasonable assumptions, the proposed algorithm achieves global convergence. The numerical comparison demonstrates that our proposed method works well for solving unconstrained optimization problems. |
| format | Article |
| id | doaj-art-898199fe6145427495c6878f6eddeb4b |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-898199fe6145427495c6878f6eddeb4b2025-08-20T03:38:01ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902023-06-0117110711310.33899/csmj.2023.179508179508A Sufficient Descent Property for a Different Parameter to Enhance Three-Term MethodGhada Al-Naemi0Samaa Al-bakri1Department of Mathematics College of Computer Science and Mathematics, University of Mosul, Mosul, IraqDepartment of Mathematics College of Computer Science and Mathematics, University of Mosul, Mosul, IraqIn this paper, we derive a new parameter µk-1 for the three-term CG (N3T) algorithm for solving unconstrained optimization problems. As demonstrated by its calculations and proof, the parameter µk-1 worth is determined by T , and the study mentions four different types of T . The search directions of this algorithm are always sufficiently descent when using strong Wolfe line search (SWC). Under reasonable assumptions, the proposed algorithm achieves global convergence. The numerical comparison demonstrates that our proposed method works well for solving unconstrained optimization problems.https://csmj.mosuljournals.com/article_179508_e0efdbaca6348b2e3adab3d64a0d9678.pdfunconstrained optimizationthree termconjugate gradientstrong wolfe conditionsufficient descent methodglobal convergent |
| spellingShingle | Ghada Al-Naemi Samaa Al-bakri A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method Al-Rafidain Journal of Computer Sciences and Mathematics unconstrained optimization three term conjugate gradient strong wolfe condition sufficient descent method global convergent |
| title | A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method |
| title_full | A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method |
| title_fullStr | A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method |
| title_full_unstemmed | A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method |
| title_short | A Sufficient Descent Property for a Different Parameter to Enhance Three-Term Method |
| title_sort | sufficient descent property for a different parameter to enhance three term method |
| topic | unconstrained optimization three term conjugate gradient strong wolfe condition sufficient descent method global convergent |
| url | https://csmj.mosuljournals.com/article_179508_e0efdbaca6348b2e3adab3d64a0d9678.pdf |
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