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.
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页码：303 / 318
页数：16
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