Second-order conditions for optimization problems with constraints

被引：111

作者：

Penot, JP ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, Lab Math Appliquees, CNRS, UPRES A 5033, F-64000 Pau, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1998年 / 37卷 / 01期

关键词：

Lagrangian; mathematical programming; multiplier; optimality conditions; projective tangent set; second-order conditions;

D O I：

10.1137/S0363012996311095

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Using a projective approach, new necessary conditions and new sufficient conditions for optimization problems with explicit or implicit constraints are examined. They are compared to previous ones. A particular emphasis is given to mathematical programming problems with non-polyhedral constraints. This case occurs in particular when the constraints are defined in functional spaces.

引用

页码：303 / 318

页数：16

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