Constant-Rank Condition and Second-Order Constraint Qualification

• DOI: 10.1007/s10957-010-9671-8
• Publication Date: 2010-02-23T20:07:20Z
• Authors: R. Andreani; C. E. Echagüe; M. L. Schuverdt
• Keywords: https://purl.org/becyt/ford/1.1; NONLINEAR PROGRAMMING; 0101 mathematics; CONSTRAINT QUALIFICATIONS; https://purl.org/becyt/ford/1; 01 natural sciences

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.