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.

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Jul 21st, 3:30 PM Jul 21st, 3:50 PM

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.