A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
We consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/147025 |
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| author | Yuan-Yuan Huang San-Yang Liu Xue-Wu Du Xiao-Liang Dong |
| author_facet | Yuan-Yuan Huang San-Yang Liu Xue-Wu Du Xiao-Liang Dong |
| author_sort | Yuan-Yuan Huang |
| collection | DOAJ |
| description | We consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well. |
| format | Article |
| id | doaj-art-74c5e38a7f2840f784ded6a9f1048d5d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-74c5e38a7f2840f784ded6a9f1048d5d2025-02-03T05:44:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/147025147025A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical BehaviorsYuan-Yuan Huang0San-Yang Liu1Xue-Wu Du2Xiao-Liang Dong3Department of Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaCollege of Mathematics Science, Chong Qing Normal University, Chong Qing 40047, ChinaDepartment of Mathematics, Xidian University, Xi’an 710071, ChinaWe consider a hybrid Dai-Yuan conjugate gradient method. We confirm that its numerical performance can be improved provided that this method uses a practical steplength rule developed by Dong, and the associated convergence is analyzed as well.http://dx.doi.org/10.1155/2013/147025 |
| spellingShingle | Yuan-Yuan Huang San-Yang Liu Xue-Wu Du Xiao-Liang Dong A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors Journal of Applied Mathematics |
| title | A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors |
| title_full | A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors |
| title_fullStr | A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors |
| title_full_unstemmed | A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors |
| title_short | A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors |
| title_sort | globally convergent hybrid conjugate gradient method and its numerical behaviors |
| url | http://dx.doi.org/10.1155/2013/147025 |
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