Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization
<p>Abstract</p> <p>In this paper, an efficient modified nonlinear conjugate gradient method for solving unconstrained optimization problems is proposed. An attractive property of the modified method is that the generated direction in each step is always descending without any line...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/57 |
| _version_ | 1811311762550554624 |
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| author | Liu Jinkui Wang Shaoheng |
| author_facet | Liu Jinkui Wang Shaoheng |
| author_sort | Liu Jinkui |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, an efficient modified nonlinear conjugate gradient method for solving unconstrained optimization problems is proposed. An attractive property of the modified method is that the generated direction in each step is always descending without any line search. The global convergence result of the modified method is established under the general Wolfe line search condition. Numerical results show that the modified method is efficient and stationary by comparing with the well-known Polak-Ribiére-Polyak method, CG-DESCENT method and DSP-CG method using the unconstrained optimization problems from More and Garbow (ACM Trans Math Softw <b>7</b>, 17-41, 1981), so it can be widely used in scientific computation.</p> <p> <b>Mathematics Subject Classification (2010) </b>90C26 · 65H10</p> |
| first_indexed | 2024-04-13T10:24:36Z |
| format | Article |
| id | doaj.art-f5712249b09e4862abac3607379e594c |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T10:24:36Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f5712249b09e4862abac3607379e594c2022-12-22T02:50:23ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011157Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimizationLiu JinkuiWang Shaoheng<p>Abstract</p> <p>In this paper, an efficient modified nonlinear conjugate gradient method for solving unconstrained optimization problems is proposed. An attractive property of the modified method is that the generated direction in each step is always descending without any line search. The global convergence result of the modified method is established under the general Wolfe line search condition. Numerical results show that the modified method is efficient and stationary by comparing with the well-known Polak-Ribiére-Polyak method, CG-DESCENT method and DSP-CG method using the unconstrained optimization problems from More and Garbow (ACM Trans Math Softw <b>7</b>, 17-41, 1981), so it can be widely used in scientific computation.</p> <p> <b>Mathematics Subject Classification (2010) </b>90C26 · 65H10</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/57 |
| spellingShingle | Liu Jinkui Wang Shaoheng Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization Journal of Inequalities and Applications |
| title | Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| title_full | Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| title_fullStr | Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| title_full_unstemmed | Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| title_short | Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| title_sort | modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/57 |
| work_keys_str_mv | AT liujinkui modifiednonlinearconjugategradientmethodwithsufficientdescentconditionforunconstrainedoptimization AT wangshaoheng modifiednonlinearconjugategradientmethodwithsufficientdescentconditionforunconstrainedoptimization |