A Novel Filled Function Method for Nonlinear Equations
A novel filled function method is suggested for solving box-constrained systems of nonlinear equations. Firstly, the original problem is converted into an equivalent global optimization problem. Subsequently, a novel filled function with one parameter is proposed for solving the converted global opt...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/247519 |
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| _version_ | 1832566991338078208 |
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| author | Liuyang Yuan Qiuhua Tang |
| author_facet | Liuyang Yuan Qiuhua Tang |
| author_sort | Liuyang Yuan |
| collection | DOAJ |
| description | A novel filled function method is suggested for solving box-constrained systems of nonlinear equations. Firstly, the original problem is converted into an equivalent global optimization problem. Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem. Some properties of the filled function are studied and discussed. Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented. The objective function value can be reduced by quarter in each iteration of our algorithm. The implementation of the algorithm on several test problems is reported with satisfactory numerical results. |
| format | Article |
| id | doaj-art-c591fba8b0fc497aa78ba177ce00139c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c591fba8b0fc497aa78ba177ce00139c2025-02-03T01:02:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/247519247519A Novel Filled Function Method for Nonlinear EquationsLiuyang Yuan0Qiuhua Tang1College of Sciences, Wuhan University of Science and Technology, Wuhan, Hubei 430081, ChinaIndustrial Engineering Department, Wuhan University of Science and Technology, Wuhan, Hubei 430081, ChinaA novel filled function method is suggested for solving box-constrained systems of nonlinear equations. Firstly, the original problem is converted into an equivalent global optimization problem. Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem. Some properties of the filled function are studied and discussed. Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented. The objective function value can be reduced by quarter in each iteration of our algorithm. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.http://dx.doi.org/10.1155/2014/247519 |
| spellingShingle | Liuyang Yuan Qiuhua Tang A Novel Filled Function Method for Nonlinear Equations Journal of Applied Mathematics |
| title | A Novel Filled Function Method for Nonlinear Equations |
| title_full | A Novel Filled Function Method for Nonlinear Equations |
| title_fullStr | A Novel Filled Function Method for Nonlinear Equations |
| title_full_unstemmed | A Novel Filled Function Method for Nonlinear Equations |
| title_short | A Novel Filled Function Method for Nonlinear Equations |
| title_sort | novel filled function method for nonlinear equations |
| url | http://dx.doi.org/10.1155/2014/247519 |
| work_keys_str_mv | AT liuyangyuan anovelfilledfunctionmethodfornonlinearequations AT qiuhuatang anovelfilledfunctionmethodfornonlinearequations AT liuyangyuan novelfilledfunctionmethodfornonlinearequations AT qiuhuatang novelfilledfunctionmethodfornonlinearequations |