A New Formula for Conjugate Gradient in Unconstrained Optimization
The method of Conjugate Gradient (CG) is a key component of optimization methods that aren't bound by local convergence characteristics. In this study, we created KHI3, a novel search direction in the (CG) Algorithm. The novel approach satisfies the regression criterion. The overall convergenc...
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| Format: | Article |
| Language: | English |
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Tikrit University
2022-12-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/87 |
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| author | Isam H. Hali Khalil K. Abbo Hassan H. Ebrahim |
| author_facet | Isam H. Hali Khalil K. Abbo Hassan H. Ebrahim |
| author_sort | Isam H. Hali |
| collection | DOAJ |
| description |
The method of Conjugate Gradient (CG) is a key component of optimization methods that aren't bound by local convergence characteristics. In this study, we created KHI3, a novel search direction in the (CG) Algorithm. The novel approach satisfies the regression criterion. The overall convergence of the proposed technique has also been proved utilizing Wolff search line words. A new algorithm for solving the large-scale unconstrained optimization issue is particularly successful.
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| format | Article |
| id | doaj-art-9a356a8281594befba3591cc3ab03bdb |
| institution | OA Journals |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-9a356a8281594befba3591cc3ab03bdb2025-08-20T02:36:41ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262022-12-0127110.25130/tjps.v27i1.87A New Formula for Conjugate Gradient in Unconstrained OptimizationIsam H. HaliKhalil K. AbboHassan H. Ebrahim The method of Conjugate Gradient (CG) is a key component of optimization methods that aren't bound by local convergence characteristics. In this study, we created KHI3, a novel search direction in the (CG) Algorithm. The novel approach satisfies the regression criterion. The overall convergence of the proposed technique has also been proved utilizing Wolff search line words. A new algorithm for solving the large-scale unconstrained optimization issue is particularly successful. https://tjpsj.org/index.php/tjps/article/view/87Unconstrained Optimization(CG) MethodWolfe Line SearchGlobal Convergence |
| spellingShingle | Isam H. Hali Khalil K. Abbo Hassan H. Ebrahim A New Formula for Conjugate Gradient in Unconstrained Optimization Tikrit Journal of Pure Science Unconstrained Optimization (CG) Method Wolfe Line Search Global Convergence |
| title | A New Formula for Conjugate Gradient in Unconstrained Optimization |
| title_full | A New Formula for Conjugate Gradient in Unconstrained Optimization |
| title_fullStr | A New Formula for Conjugate Gradient in Unconstrained Optimization |
| title_full_unstemmed | A New Formula for Conjugate Gradient in Unconstrained Optimization |
| title_short | A New Formula for Conjugate Gradient in Unconstrained Optimization |
| title_sort | new formula for conjugate gradient in unconstrained optimization |
| topic | Unconstrained Optimization (CG) Method Wolfe Line Search Global Convergence |
| url | https://tjpsj.org/index.php/tjps/article/view/87 |
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