Departmental Colloquium
Lek-Heng Lim
University of Chicago
Hypermatrices
Abstract: This talk is intended for those who, like the speaker, have at
some point wondered whether there is a theory of three- or higher-
dimensional matrices that parallels matrix theory. We will discuss how
notions like rank, norm, determinant, eigen and singular values may be
generalized to hypermatrices. We will see that, far from being artificial
constructs, these notions have appeared naturally in a wide range of
applications: chemistry (fluorescence spectroscopy, density matrix
renormalization group), computer science (matrix multiplication
complexity, quantum computing), optimization (self-concordance,
higher-order optimality conditions), statistics (higher-order moments and
cumulants, minimum rank matrix completion), physics (quark states,
Yang-Baxter equations), and signal processing (antenna array processing,
CDMA radio communication).
Friday April 26, 2013 at 3:00 PM in SEO 636