GLOBAL OPTIMALITY CRITERION AND A DUALITY WITH A ZERO-GAP IN NONCONVEX OPTIMIZATION

被引：26

作者：

THACH, PT ^{[1
]}

机构：

[1] UNIV TRIER,DEPT MATH,W-5500 TRIER,GERMANY

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 06期

关键词：

GEOMETRICAL CRITERIA; NONCONVEX DUALITY;

D O I：

10.1137/0524087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a relation between geometrical criteria for optimality and a duality in two nonconvex problems: a quasi-convex maximization over a convex set, and a general minimization over the complement of a convex set. A connection between the duality by Toland, the global optimality criterion by Hiriart-Urruty, and the author's result is also given. Several applications are presented.

引用

页码：1537 / 1556

页数：20

共 29 条

[1]

BURKARD RE, 1991, DUAL SOLUTION METHOD

[2]

CROUZEIX JP, 1981, GENERALIZED CONCAVIT, P207

[3]

Greenberg HP., 1973, CAHIERS CTR ETUDES R, V15, P437

[4]

HIRIARTURRUTY JB, 1985, LECT NOTES ECON MATH, V256, P37

[5]

HIRIARTURRUTY JB, 1989, C R ACAD SCI PARIS S, V1, P459

[6]

Horst R., 1990, GLOBAL OPTIMIZATION

[7]

KONNO H, 1992, UNPUB DUAL APPROACH

[8]

Martinez-Legaz J. E., 1988, Optimization, V19, P603, DOI 10.1080/02331938808843379

[9]

Nemhauser G. L, 1989, HDB OPERATIONS RES M, V1

[10]

OETTLI W, 1981, GENERALIZED CONCAVIT, P227

← 1 2 3 →