Title
Antipodal pairs, critical pairs, and Nash angular equilibria in convex cones
Abstract
In this paper, we discuss three related geometric concepts that arise in connection with the angular analysis of a convex cone K⊂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.
Year
DOI
Venue
2008
10.1080/10556780701661427
Optimization Methods and Software
Keywords
Field
DocType
critical pair,additional result,convex cone,convex cone k,earlier work,angular analysis,related geometric concept,antipodal pair,basic ingredient,nash angular equilibrium,critical angle
Discrete mathematics,Mathematical optimization,Convex combination,Convex set,Regular polygon,Subderivative,Antipodal point,Mathematics,Convex analysis,Convex cone
Journal
Volume
Issue
ISSN
23
1
1055-6788
Citations 
PageRank 
References 
1
0.41
3
Authors
2
Name
Order
Citations
PageRank
Alfredo Iusem1142.24
Alberto Seeger211313.26