An Improved Line Search Filter Method for the System of Nonlinear Equations
An improved line search filter algorithm for the system of nonlinear equations is presented. We divide the equations into two groups, one contains the equations that are treated as equality constraints and the square of other equations is regarded as objective function. Two groups of equations are u...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/273141 |
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| _version_ | 1850168630389506048 |
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| author | Zhong Jin Yuqing Wang |
| author_facet | Zhong Jin Yuqing Wang |
| author_sort | Zhong Jin |
| collection | DOAJ |
| description | An improved line search filter algorithm for the system of nonlinear equations is presented. We divide the equations into two groups, one contains the equations that are treated as equality constraints and the square of other equations is regarded as objective function. Two groups of equations are updated at every iteration in the works by Nie (2004, 2006, and 2006), by Nie et al. (2008), and by Gu (2011), while we just update them at the iterations when it is needed indeed. As a consequence, the scale of the calculation is decreased in a certain degree. Under some suitable conditions the global convergence can be induced. In the end, numerical experiments show that the method in this paper is effective. |
| format | Article |
| id | doaj-art-a23e3a70660244dfbb74ca62071b43d1 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a23e3a70660244dfbb74ca62071b43d12025-08-20T02:20:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/273141273141An Improved Line Search Filter Method for the System of Nonlinear EquationsZhong Jin0Yuqing Wang1Department of Mathematics, Shanghai Maritime University, Shanghai 201306, ChinaXianda College of Economics and Humanities, Shanghai International Studies University, Shanghai 200083, ChinaAn improved line search filter algorithm for the system of nonlinear equations is presented. We divide the equations into two groups, one contains the equations that are treated as equality constraints and the square of other equations is regarded as objective function. Two groups of equations are updated at every iteration in the works by Nie (2004, 2006, and 2006), by Nie et al. (2008), and by Gu (2011), while we just update them at the iterations when it is needed indeed. As a consequence, the scale of the calculation is decreased in a certain degree. Under some suitable conditions the global convergence can be induced. In the end, numerical experiments show that the method in this paper is effective.http://dx.doi.org/10.1155/2012/273141 |
| spellingShingle | Zhong Jin Yuqing Wang An Improved Line Search Filter Method for the System of Nonlinear Equations Journal of Applied Mathematics |
| title | An Improved Line Search Filter Method for the System of Nonlinear Equations |
| title_full | An Improved Line Search Filter Method for the System of Nonlinear Equations |
| title_fullStr | An Improved Line Search Filter Method for the System of Nonlinear Equations |
| title_full_unstemmed | An Improved Line Search Filter Method for the System of Nonlinear Equations |
| title_short | An Improved Line Search Filter Method for the System of Nonlinear Equations |
| title_sort | improved line search filter method for the system of nonlinear equations |
| url | http://dx.doi.org/10.1155/2012/273141 |
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