![Geometry of Polynomials_hi-res logo](/sites/default/files/styles/workshop_banner_sm_1x/public/2023-01/Geometry%20of%20Polynomials_hi-res.png.jpg?itok=GzqUUw1q)
Description
In the paper "Stable and Real-Zero Polynomials in Two-Variables" by Grinshpan, Kaliuzhnyi-Verbovetskyi, Vinnikov, Woerdeman, they reduce constructing a Hermitian determinantal representation for trivariate hyperbolic polynomials to constructing a certain factorization of a positive definite valued matrix polynomial. I will present this derivation and then present an elementary proof of the existence of these factorizations following the paper "A Simple Proof of the Matrix-Valued Fejer-Riesz Theorem" by Ephremidze, Janashia, and Lagvilava.
All scheduled dates:
Upcoming
No Upcoming activities yet