A new constraint qualification condition

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1986 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 48, pages 459-468 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Penot, J. P.;

doi: 10.1007/bf00940572

A new constraint qualification condition

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Abstract

We introduce a new constraint qualification condition in mathematical programming which encompasses the Mangasarian-Fromovitz's condition and the constant rank condition of Janin. Contrarily to the Mangasarian- Fromovitz's condition, our condition is still satisfied when one translates equalities as double inequalities. It relies on the fact that linearization stability is easier to check with equalities than with inequalities.

Keywords

Numerical methods based on nonlinear programming, rank theorem, Nonlinear programming, constraint qualification condition, linearization stability

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