2 papers
math.OC2023
Everything is possible: constructing spectrahedra with prescribed facial dimensions
Vera Roshchina, Levent Tunçel
Given any finite set of nonnegative integers, there exists a closed convex set whose facial dimension signature coincides with this set of integers, that is, the dimensions of its…
math.OC2023
Face relative interior of convex sets in topological vector spaces
Reinier Díaz Mill án, Vera Roshchina
A new notion of face relative interior for convex sets in topological real vector spaces is introduced in this work. Face relative interior is grounded in the facial structure, and…