New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization
This article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter θkNew for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below usi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3615208 |
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| _version_ | 1832560889367101440 |
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| author | Eman T. Hamed Rana Z. Al-Kawaz Abbas Y. Al-Bayati |
| author_facet | Eman T. Hamed Rana Z. Al-Kawaz Abbas Y. Al-Bayati |
| author_sort | Eman T. Hamed |
| collection | DOAJ |
| description | This article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter θkNew for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below using strong Wolfe conditions. Our numerical experiments show that the new proposed algorithms are more stable and economic as compared to some well-known standard CG methods. |
| format | Article |
| id | doaj-art-a9a49c60422c44ee8cf285de7cb5230b |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a9a49c60422c44ee8cf285de7cb5230b2025-02-03T01:26:25ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/36152083615208New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear OptimizationEman T. Hamed0Rana Z. Al-Kawaz1Abbas Y. Al-Bayati2Department of Operation Research and Intelligent Techniques, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqDepartment of Mathematics, College of Basic Education, University of Telafer, Tall’Afar, IraqUniversity of Telafer, Tall’Afar, IraqThis article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter θkNew for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below using strong Wolfe conditions. Our numerical experiments show that the new proposed algorithms are more stable and economic as compared to some well-known standard CG methods.http://dx.doi.org/10.1155/2020/3615208 |
| spellingShingle | Eman T. Hamed Rana Z. Al-Kawaz Abbas Y. Al-Bayati New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization Journal of Mathematics |
| title | New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization |
| title_full | New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization |
| title_fullStr | New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization |
| title_full_unstemmed | New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization |
| title_short | New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization |
| title_sort | new investigation for the liu story scaled conjugate gradient method for nonlinear optimization |
| url | http://dx.doi.org/10.1155/2020/3615208 |
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