Angular analysis of two classes of non-polyhedral convex cones: the point of view of optimization theory

Alberto Seeger | Iusem, Alfredo

Keywords: Antipodal pair | convex cone | maximal angle

There are three related concepts which arise in connection with the angular analysis of a convex cone: antipodality, criticallity and Nash equilibrium.These concepts are geometric in nature but can also be approached from the perspective of optimization theory. A detailed angular analysis of polyhedral convex cones has been carried out in a recent work of ours. This note focuses on two important classes of non-polyhedral convex cones: elliptic cones in a Euclidean vector space and spectral cones in a space of symmetric matrices.

Anexos:

• iussee12n.pdf