Location
Crow 206
Start Date
7-21-2016 3:30 PM
End Date
21-7-2016 3:50 PM
Description
A spectrahedron is a set defined by a linear matrix inequality. Given a spectrahedron, we are interested in the question of the smallest possible size r of the matrices in the description by linear matrix inequalities. After some generalities, we focus on the case of convex regions defined by quadratic and cubic polynomials.
On the size of spectrahedral descriptions
Crow 206
A spectrahedron is a set defined by a linear matrix inequality. Given a spectrahedron, we are interested in the question of the smallest possible size r of the matrices in the description by linear matrix inequalities. After some generalities, we focus on the case of convex regions defined by quadratic and cubic polynomials.