From the 1 of 4 linked papers with an AI index.
4 papers
Free versions of the strong SzegÅ limit theorem
Michael T. Jury, Lodewyk J. van Rensburg, George Roman
The Strong SzegÅ Limit Theorem is a theorem about the asymptotics of the determinants of large Toeplitz matrices. It can be reformulated as a probabilistic statement about eigenva…
Completely Positive Matrix Products
Eric Evert, Michael T. Jury, Scott McCullough
The paper defines and characterizes JCP (completely positive) matrix products via the positivity of their associated Choi matrices and provides a Choi‑Kraus representation, then in…
A note on homotopies of rational matrix inner functions
Michael T. Jury
We show that when , the space of -matrix-valued rational inner functions in the disk is path connected.
Determinants of Random Unitary Pencils
Michael T. Jury, George Roman
We investigate determinants of random unitary pencils (with scalar or matrix coefficients), which generalize the characteristic polynomial of a single unitary matrix. In particular…