Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2004 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10773/6243 |
Resumo: | We study abnormal extremum in the problem of non-linear pro- gramming with mixed constraints. Abnormal extremum occurs when in necessary optimality conditions the Lagrange multiplier, which cor- responds to the objective function, vanishes. We demonstrate that in this case abnormal second-order su±cient optimality conditions guar- antee rigidity of the corresponding extremal point, which means iso- latedness of this point in the set determined by the constraints. |
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Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraintsNonlinear programmingOptimality conditionsAbnormal extremumRigidityWe study abnormal extremum in the problem of non-linear pro- gramming with mixed constraints. Abnormal extremum occurs when in necessary optimality conditions the Lagrange multiplier, which cor- responds to the objective function, vanishes. We demonstrate that in this case abnormal second-order su±cient optimality conditions guar- antee rigidity of the corresponding extremal point, which means iso- latedness of this point in the set determined by the constraints.Universidade de Aveiro2012-02-10T17:45:22Z2004-01-01T00:00:00Z2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6243engSarychev, A. V.Tchemisova, T. V.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-17T03:25:56ZPortal AgregadorONG |
| dc.title.none.fl_str_mv |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| title |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| spellingShingle |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints Sarychev, A. V. Nonlinear programming Optimality conditions Abnormal extremum Rigidity |
| title_short |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| title_full |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| title_fullStr |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| title_full_unstemmed |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| title_sort |
Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints |
| author |
Sarychev, A. V. |
| author_facet |
Sarychev, A. V. Tchemisova, T. V. |
| author_role |
author |
| author2 |
Tchemisova, T. V. |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Sarychev, A. V. Tchemisova, T. V. |
| dc.subject.por.fl_str_mv |
Nonlinear programming Optimality conditions Abnormal extremum Rigidity |
| topic |
Nonlinear programming Optimality conditions Abnormal extremum Rigidity |
| description |
We study abnormal extremum in the problem of non-linear pro- gramming with mixed constraints. Abnormal extremum occurs when in necessary optimality conditions the Lagrange multiplier, which cor- responds to the objective function, vanishes. We demonstrate that in this case abnormal second-order su±cient optimality conditions guar- antee rigidity of the corresponding extremal point, which means iso- latedness of this point in the set determined by the constraints. |
| publishDate |
2004 |
| dc.date.none.fl_str_mv |
2004-01-01T00:00:00Z 2004 2012-02-10T17:45:22Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/6243 |
| url |
http://hdl.handle.net/10773/6243 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Universidade de Aveiro |
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Universidade de Aveiro |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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