2 papers
math.RA2025
Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field
Jason Elsinger, Ian Orzel, Aaron Welters
In this paper, we prove the following. First, every square matrix whose entries are multivariable rational functions over a field has a Bessmertnyĭ realization, i.e.,…
math.OC2025
Kharitonov's Theorem with Degree Drop: a Wronskian Approach
Jason Elsinger, Anthony Stefan, Aaron Welters
In this paper, we present a simplified proof of Kharitonov's Theorem, an important result on determining the Hurwitz stability of interval polynomials. Our new approach to the proo…