The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem
Two kinds of the Levenberg-Marquardt-type methods for the solution of vertical complementarity problem are introduced. The methods are based on a nonsmooth equation reformulation of the vertical complementarity problem for its solution. Local and global convergence results and some remarks about the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/161853 |
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| _version_ | 1850164652860768256 |
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| author | Shou-qiang Du Yan Gao |
| author_facet | Shou-qiang Du Yan Gao |
| author_sort | Shou-qiang Du |
| collection | DOAJ |
| description | Two kinds of the Levenberg-Marquardt-type methods for the solution of vertical
complementarity problem are introduced. The methods are based on a nonsmooth equation
reformulation of the vertical complementarity problem for its solution. Local and
global convergence results and some remarks about the two kinds of the Levenberg-Marquardt-type methods are also given. Finally, numerical experiments are reported. |
| format | Article |
| id | doaj-art-e8ce7f2faa4145d3ae6a54110518951f |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e8ce7f2faa4145d3ae6a54110518951f2025-08-20T02:21:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/161853161853The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity ProblemShou-qiang Du0Yan Gao1College of Mathematics, Qingdao University, Qingdao 266071, ChinaSchool of Management, University of Shanghai for Science and Technology, Shanghai 200093, ChinaTwo kinds of the Levenberg-Marquardt-type methods for the solution of vertical complementarity problem are introduced. The methods are based on a nonsmooth equation reformulation of the vertical complementarity problem for its solution. Local and global convergence results and some remarks about the two kinds of the Levenberg-Marquardt-type methods are also given. Finally, numerical experiments are reported.http://dx.doi.org/10.1155/2011/161853 |
| spellingShingle | Shou-qiang Du Yan Gao The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem Journal of Applied Mathematics |
| title | The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem |
| title_full | The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem |
| title_fullStr | The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem |
| title_full_unstemmed | The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem |
| title_short | The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem |
| title_sort | levenberg marquardt type methods for a kind of vertical complementarity problem |
| url | http://dx.doi.org/10.1155/2011/161853 |
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