Cone of recession and unboundedness of convex functions

被引：6
|
作者：
Obuchowska, WT [1 ]
Murty, KG
机构：
[1] SUNY Coll Fredonia, Dept Math & Comp Sci, Fredonia, NY 14063 USA
[2] Univ Michigan, Dept Ind & Operat Engn, Ann Arbor, MI 48109 USA
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2001年 / 133卷 / 02期
关键词：
convex programming; cone of recession; unboundedness;
D O I：
10.1016/S0377-2217(00)00136-3
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider the problem of determining whether or not a convex function f(x) is bounded below over R-n. Our focus is on investigating the properties of the vectors in the cone of recession 0(+) f of f(x) which are related to the unboundedness of the function. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：409 / 415
页数：7
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