A New Method with Sufficient Descent Property for Unconstrained Optimization
Recently, sufficient descent property plays an important role in the global convergence analysis of some iterative methods. In this paper, we propose a new iterative method for solving unconstrained optimization problems. This method provides a sufficient descent direction for objective function. Mo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/940120 |
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| _version_ | 1850220467355385856 |
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| author | Weiyi Qian Haijuan Cui |
| author_facet | Weiyi Qian Haijuan Cui |
| author_sort | Weiyi Qian |
| collection | DOAJ |
| description | Recently, sufficient descent property plays an important role in the global convergence analysis of some iterative methods. In this paper, we propose a new iterative method for solving unconstrained optimization problems. This method provides a sufficient descent direction for objective function. Moreover, the global convergence of the proposed method is established under some appropriate conditions. We also report some numerical results and compare the performance of the proposed method with some existing methods. Numerical results indicate that the presented method is efficient. |
| format | Article |
| id | doaj-art-7b66efb0a60d4ded9328a152bd166d2b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7b66efb0a60d4ded9328a152bd166d2b2025-08-20T02:07:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/940120940120A New Method with Sufficient Descent Property for Unconstrained OptimizationWeiyi Qian0Haijuan Cui1College of Mathematics and Physics, Bohai University, Jinzhou 121000, ChinaCollege of Mathematics and Physics, Bohai University, Jinzhou 121000, ChinaRecently, sufficient descent property plays an important role in the global convergence analysis of some iterative methods. In this paper, we propose a new iterative method for solving unconstrained optimization problems. This method provides a sufficient descent direction for objective function. Moreover, the global convergence of the proposed method is established under some appropriate conditions. We also report some numerical results and compare the performance of the proposed method with some existing methods. Numerical results indicate that the presented method is efficient.http://dx.doi.org/10.1155/2014/940120 |
| spellingShingle | Weiyi Qian Haijuan Cui A New Method with Sufficient Descent Property for Unconstrained Optimization Abstract and Applied Analysis |
| title | A New Method with Sufficient Descent Property for Unconstrained Optimization |
| title_full | A New Method with Sufficient Descent Property for Unconstrained Optimization |
| title_fullStr | A New Method with Sufficient Descent Property for Unconstrained Optimization |
| title_full_unstemmed | A New Method with Sufficient Descent Property for Unconstrained Optimization |
| title_short | A New Method with Sufficient Descent Property for Unconstrained Optimization |
| title_sort | new method with sufficient descent property for unconstrained optimization |
| url | http://dx.doi.org/10.1155/2014/940120 |
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