Document Type
Article
Publication Date
8-24-2016
Originally Published In
Knese, Greg. Determinantal representations of semihyperbolic polynomials. Michigan Math. J. 65 (2016), no. 3, 473--487. doi:10.1307/mmj/1472066143. http://projecteuclid.org/euclid.mmj/1472066143.
Abstract
We prove a generalization of the Hermitian version of the Helton–Vinnikov determinantal representation for hyperbolic polynomials to the class of semihyperbolic polynomials, a strictly larger class, as shown by an example. We also prove that certain hyperbolic polynomials affine in two out of four variables divide a determinantal polynomial. The proofs are based on work related to polynomials with no zeros on the bidisk and tridisk.
ORCID
http://orcid.org/0000-0002-9484-2537
Recommended Citation
Knese, Greg, "Determinantal Representations of Semihyperbolic Polynomials" (2016). Mathematics Faculty Publications. 40.
https://openscholarship.wustl.edu/math_facpubs/40
Comments
Final published version posted with permission from Michigan Matheematical Journal. doi:10.1307/mmj/1472066143 http://projecteuclid.org/euclid.mmj/1472066143.