Matrix Convexity, Matrix Inequalities, and Beyond

Wednesday, January 17, 2007 - 3:00pm - 3:50pm
EE/CS 3-180
Scott McCullough (University of Florida)
Many ideas from convex analysis and
real algebraic geometry extend canonically to the
operator space setting giving rise to the notions of
matrix (non-commutative) convex sets and functions.
These notions also model matrix inequalities
which are scalable in the sense that they do not
explicitly depend upon the size of the matrices

This talk will survey matrix convexity emphasizing the
rigid nature of convexity in the non-commutative semi-algebraic
setting. It may aslo include a discussion of
characterizing factorizations of a non-commutative polynomial
in terms of the signature of its Hessian.

MSC Code: