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 Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6243

title: Rigidity of abnormal extrema in the problem of non-linear programming with mixed constraints
authors: Sarychev, A. V.
Tchemisova, T. V.
keywords: Nonlinear programming
Optimality conditions
Abnormal extremum
Rigidity
issue date: 2004
publisher: Universidade de Aveiro
abstract: 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.
URI: http://hdl.handle.net/10773/6243
source: Cadernos de Matemática
appears in collectionsCadMat SInvestigação - Working paper

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