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

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页码：409 / 415

页数：7

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