On pairs of vectors achieving the maximal angle of a convex cone
نویسندگان
چکیده
In this paper we explore the concept of antipodality relative to a closed convex cone K ⊂ IRd. 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.
منابع مشابه
Searching for critical angles in a convex cone
The concept of antipodality relative to a closed convex cone K ⊂ Rd has been explored in detail in a recent work of ours. The antipodality problem consists of finding a pair of unit vectors in K achieving the maximal angle of the cone. Our attention now is focused not just in the maximal angle, but in the angular spectrum of the cone. By definition, the angular spectrum of a cone is the set of ...
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عنوان ژورنال:
- Math. Program.
دوره 104 شماره
صفحات -
تاریخ انتشار 2005