Constant-Rank Condition and Second-Order Constraint Qualification

被引：37

作者：

Andreani, R. ^{[2
]}

Echaguee, C. E.

Schuverdt, M. L. ^{[1
]}

机构：

[1] Univ La Plata, CONICET, Dept Math, FCE, RA-1900 La Plata, Bs As, Argentina

[2] Univ Estadual Campinas, Dept Appl Math, IMECC UNICAMP, BR-13081970 Campinas, SP, Brazil

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 146卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Nonlinear programming; Constraint qualifications; LINEAR-DEPENDENCE CONDITION; OPTIMALITY CONDITIONS;

D O I：

10.1007/s10957-010-9671-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：255 / 266

页数：12

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