CHARACTERIZATION OF SOLUTION SETS OF CONVEX-PROGRAMS

被引:72
作者
BURKE, JV [1 ]
FERRIS, MC [1 ]
机构
[1] UNIV WISCONSIN,DEPT COMP SCI,MADISON,WI 53706
关键词
SOLUTION SETS; CONVEX PROGRAMS; NONSMOOTH OPTIMIZATION;
D O I
10.1016/0167-6377(91)90087-6
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
This paper gives several characterizations of the solution set of convex programs. No differentiability of the functions involved in the problem definition is assumed. The result is a generalization of the results given in [4]. Furthermore, the subgradients attaining the minimum principle are explicitly characterized, and this characterization is shown to be independent of any solution.
引用
收藏
页码:57 / 60
页数:4
相关论文
共 5 条
[1]  
BURKE JV, 1989, UNPUB SHARPNESS FUNC
[2]  
Ekeland I., 1976, CONVEX ANAL VARIATIO
[3]  
FERRIS MC, 1989, 802 U WISC COMP SCI
[4]   A SIMPLE CHARACTERIZATION OF SOLUTION SETS OF CONVEX-PROGRAMS [J].
MANGASARIAN, OL .
OPERATIONS RESEARCH LETTERS, 1988, 7 (01) :21-26
[5]  
Rockafellar R. T., 1970, CONVEX ANAL