Generalized Newton Method for a Kind of Complementarity Problem
A generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem by F-B function and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and s...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/745981 |
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| _version_ | 1832560746659053568 |
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| author | Shou-qiang Du |
| author_facet | Shou-qiang Du |
| author_sort | Shou-qiang Du |
| collection | DOAJ |
| description | A generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem by F-B function and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and superlinear local convergence results are also given under suitable assumptions. Finally, some numerical results and discussions are presented. |
| format | Article |
| id | doaj-art-8f0a3df53dfa400e8321ee9b7e479db7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8f0a3df53dfa400e8321ee9b7e479db72025-02-03T01:26:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/745981745981Generalized Newton Method for a Kind of Complementarity ProblemShou-qiang Du0College of Mathematics, Qingdao University, Qingdao 266071, ChinaA generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem by F-B function and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and superlinear local convergence results are also given under suitable assumptions. Finally, some numerical results and discussions are presented.http://dx.doi.org/10.1155/2014/745981 |
| spellingShingle | Shou-qiang Du Generalized Newton Method for a Kind of Complementarity Problem Abstract and Applied Analysis |
| title | Generalized Newton Method for a Kind of Complementarity Problem |
| title_full | Generalized Newton Method for a Kind of Complementarity Problem |
| title_fullStr | Generalized Newton Method for a Kind of Complementarity Problem |
| title_full_unstemmed | Generalized Newton Method for a Kind of Complementarity Problem |
| title_short | Generalized Newton Method for a Kind of Complementarity Problem |
| title_sort | generalized newton method for a kind of complementarity problem |
| url | http://dx.doi.org/10.1155/2014/745981 |
| work_keys_str_mv | AT shouqiangdu generalizednewtonmethodforakindofcomplementarityproblem |