Optimization Online


The Constant Rank Condition and Second Order Constraint Qualifications

Roberto Andreani (andreani***at***ime.unicamp.br)
Carlos Eugenio Echagüe (eugenioe***at***gmail.com)
María Laura Schuverdt (schuverd***at***mate.unlp.edu.ar)

Abstract: The Constant Rank condition for feasible points of nonlinear programming problems was defined by Janin in Ref. 1. In that paper the author proved that the condition was a first order constraint qualification. In this work we prove that the Janin Constant Rank condition is, in addition, a second order constraint qualification. We also define other second order constraint qualifications.

Keywords: Nonlinear Programming, Constraint Qualifications.

Category 1: Nonlinear Optimization


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Entry Submitted: 02/10/2009
Entry Accepted: 02/10/2009
Entry Last Modified: 11/13/2009

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