On pairs of vectors achieving the maximal angle of a convex cone
成果类型：
Article
署名作者：
Iusem, A; Seeger, A
署名单位：
Avignon Universite
刊物名称：
MATHEMATICAL PROGRAMMING
ISSN/ISSBN：
0025-5610
DOI：
10.1007/s10107-005-0626-z
发表日期：
2005
页码：
501-523
关键词：
摘要：
In this paper we explore the concept of antipodality relative to a closed convex cone K subset of R-d. The problem under consideration is that of finding a pair of unit vectors in K achieving the maximal angle of the cone. We mention also a few words on the attainability of critical angles. By way of application of the general theory, we briefly discuss the problem of estimating the radius of pointedness of a cone.