Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems
In this research, a new conjugacy coefficient is derived for conjugate gradient method(C.G) and a new direction was obtained. In theory, this direction achieve sufficiently desent condition by using strong wolfe line search and global convergence is proved. When contrasted with the starnder HS (C.G)...
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Mosul University
2025-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.uomosul.edu.iq/article_186827_e4317d3dea03c6135625a0bd94f1f82b.pdf |
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| author | Mays Jarjis Hamsa Chilmerane |
| author_facet | Mays Jarjis Hamsa Chilmerane |
| author_sort | Mays Jarjis |
| collection | DOAJ |
| description | In this research, a new conjugacy coefficient is derived for conjugate gradient method(C.G) and a new direction was obtained. In theory, this direction achieve sufficiently desent condition by using strong wolfe line search and global convergence is proved. When contrasted with the starnder HS (C.G) technique, the numerical performance of this approach is very remarkable. The Dolan-More performance profile was applied in order to carry out this determination. The amount of time that the central processing unit (CPU) spends, the number of iterations (NOI), and the number of function evaluations (NOF) all play a role in determining this profile. It was determined through the utilization of the Dolan-More profile that this was the case. |
| format | Article |
| id | doaj-art-d46d2e71d6274b7682b32d6907a4f688 |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-d46d2e71d6274b7682b32d6907a4f6882025-08-20T02:56:31ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902025-06-01191283310.33899/csmj.2025.154547.1153186827Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization ProblemsMays Jarjis0Hamsa Chilmerane1Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, IraqDepartment of Mathematics, College of Computers Sciences and Mathematics University of Mosul, IRAQIn this research, a new conjugacy coefficient is derived for conjugate gradient method(C.G) and a new direction was obtained. In theory, this direction achieve sufficiently desent condition by using strong wolfe line search and global convergence is proved. When contrasted with the starnder HS (C.G) technique, the numerical performance of this approach is very remarkable. The Dolan-More performance profile was applied in order to carry out this determination. The amount of time that the central processing unit (CPU) spends, the number of iterations (NOI), and the number of function evaluations (NOF) all play a role in determining this profile. It was determined through the utilization of the Dolan-More profile that this was the case.https://csmj.uomosul.edu.iq/article_186827_e4317d3dea03c6135625a0bd94f1f82b.pdfgradientunconstrainedoptimizationstrong wolfecondition |
| spellingShingle | Mays Jarjis Hamsa Chilmerane Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems Al-Rafidain Journal of Computer Sciences and Mathematics gradient unconstrained optimization strong wolfe condition |
| title | Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems |
| title_full | Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems |
| title_fullStr | Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems |
| title_full_unstemmed | Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems |
| title_short | Investigation a Conjuacy a Conjugacy Coefficient for Conjugate Gradient Method to Solving Unconstrained Optimization Problems |
| title_sort | investigation a conjuacy a conjugacy coefficient for conjugate gradient method to solving unconstrained optimization problems |
| topic | gradient unconstrained optimization strong wolfe condition |
| url | https://csmj.uomosul.edu.iq/article_186827_e4317d3dea03c6135625a0bd94f1f82b.pdf |
| work_keys_str_mv | AT maysjarjis investigationaconjuacyaconjugacycoefficientforconjugategradientmethodtosolvingunconstrainedoptimizationproblems AT hamsachilmerane investigationaconjuacyaconjugacycoefficientforconjugategradientmethodtosolvingunconstrainedoptimizationproblems |