Antipodal pairs, critical pairs, and Nash angular equilibria in convex cones

被引：17

作者：

Iusem, Alfredo

Seeger, Alberto ^{[1
,2
]}

机构：

[1] Univ Avignon, Dept Math, Avignon, France

[2] Inst Matematica Pura & Aplicada, Jardim Bot, Rio De Janeiro, Brazil

来源：

OPTIMIZATION METHODS & SOFTWARE | 2008年 / 23卷 / 01期

关键词：

antipodal pairs; convex cones; maximal angle; critical angle; Nash angular equilibria; polyhedral cones;

D O I：

10.1080/10556780701661427

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we discuss three related geometric concepts that arise in connection with the angular analysis of a convex cone K subset of R-d. Although antipodal pairs and critical pairs in convex cones have been studied in our earlier works, several additional results are presented here for the first time. The concept of Nash angular equilibrium is new, and we set up the basic ingredients of the theory.

引用

页码：73 / 93

页数：21

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