Critical sets in parametric optimization

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Apr 1986 Netherlands English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 34, pages 333-353 (issn: 0025-5610, eissn: 1436-4646,

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Authors: Jongen, H.Th.; Jonker, P.; Twilt, F.;

doi: 10.1007/bf01582234

Critical sets in parametric optimization

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Abstract

The authors consider the nonlinear parametric programming problem. They introduce the concept of a generalized critical point for the nonlinear programming problem as well as for the nonlinear parametric programming problem. The set of generalized critical points for the parametric programming problem is divided into five types and each type is studied separately. In the end of the paper the set of Kuhn-Tucker points as a subset of the set of generalized critical points is considered in more detail.

Country

Netherlands

Related Organizations

University of Twente
Netherlands

Keywords

Generalized Critical PointCritical Point, Quadratic Index, linear index, Mangasarian-Fromowitz constraint qualification, nonlinear parametric programming, Nonlinear programming, Kuhn-Tucker points, Sensitivity, stability, parametric optimization, quadratic index, Linear index, Qualification, generalized critical point, Mangasarian-Fromowitz Constraint, Parametric Optimization, Kuhn-Tucker Set

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