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Constant-Rank Condition and Second-Order Constraint Qualification
Authors:R Andreani  C E Echagüe  M L Schuverdt
Institution:1.Department of Applied Mathematics, IMECC-UNICAMP,University of Campinas,Campinas,Brazil;2.Department of Mathematics, FCE,University of La Plata,La Plata,Argentina;3.CONICET, Department of Mathematics, FCE,University of La Plata,La Plata,Argentina
Abstract:The constant-rank condition for feasible points of nonlinear programming problems was defined by Janin (Math. Program. Study 21:127–138, 1984). In that paper, the author proved that the constant-rank condition is a first-order constraint qualification. In this work, we prove that the constant-rank condition is also a second-order constraint qualification. We define other second-order constraint qualifications.
Keywords:
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