Global convergence of conjugate gradient method in unconstrained optimization problems
In this study, we propose a new parameter in the conjugate gradient method. It is shown that the new method fulfils the sufficient descent condition with the strong Wolfe condition when inexact line search has been used. The numerical results of this suggested method also shown that this method out...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2019-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46490 |
| _version_ | 1797633467813462016 |
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| author | Huda Younus Najm Eman T. Hamed Huda I. Ahmed |
| author_facet | Huda Younus Najm Eman T. Hamed Huda I. Ahmed |
| author_sort | Huda Younus Najm |
| collection | DOAJ |
| description |
In this study, we propose a new parameter in the conjugate gradient method. It is shown that the new method fulfils the sufficient descent condition with the strong Wolfe condition when inexact line search has been used. The numerical results of this suggested method also shown that this method outperforms to other standard conjugate gradient method.
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| first_indexed | 2024-03-11T11:54:25Z |
| format | Article |
| id | doaj.art-04735733ce8942ed9b58fb6d559a34e3 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:25Z |
| publishDate | 2019-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-04735733ce8942ed9b58fb6d559a34e32023-11-08T20:06:49ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-10-0138710.5269/bspm.v38i7.46490Global convergence of conjugate gradient method in unconstrained optimization problemsHuda Younus Najm0Eman T. Hamed1Huda I. Ahmed2University of DuhokUniversity of MosulUniversity of Mosul In this study, we propose a new parameter in the conjugate gradient method. It is shown that the new method fulfils the sufficient descent condition with the strong Wolfe condition when inexact line search has been used. The numerical results of this suggested method also shown that this method outperforms to other standard conjugate gradient method. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46490 |
| spellingShingle | Huda Younus Najm Eman T. Hamed Huda I. Ahmed Global convergence of conjugate gradient method in unconstrained optimization problems Boletim da Sociedade Paranaense de Matemática |
| title | Global convergence of conjugate gradient method in unconstrained optimization problems |
| title_full | Global convergence of conjugate gradient method in unconstrained optimization problems |
| title_fullStr | Global convergence of conjugate gradient method in unconstrained optimization problems |
| title_full_unstemmed | Global convergence of conjugate gradient method in unconstrained optimization problems |
| title_short | Global convergence of conjugate gradient method in unconstrained optimization problems |
| title_sort | global convergence of conjugate gradient method in unconstrained optimization problems |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46490 |
| work_keys_str_mv | AT hudayounusnajm globalconvergenceofconjugategradientmethodinunconstrainedoptimizationproblems AT emanthamed globalconvergenceofconjugategradientmethodinunconstrainedoptimizationproblems AT hudaiahmed globalconvergenceofconjugategradientmethodinunconstrainedoptimizationproblems |