Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints

Bibliographic Details
Main Author: Sarychev, A. V.
Publication Date: 2004
Other Authors: Tchemisova, T. V.
Format: Article
Language: eng
Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Download full: http://hdl.handle.net/10773/6243
Summary: 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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spelling 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:RCAAP2024-02-22T11:10:34Zoai:ria.ua.pt:10773/6243Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:44:18.747305Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
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
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/6243
url http://hdl.handle.net/10773/6243
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade de Aveiro
publisher.none.fl_str_mv Universidade de Aveiro
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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