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math.CA2021
Continuity of the roots of a nonmonic polynomial and applications in multivariate stability theory
Anthony Stefan, Aaron Welters
We study continuity of the roots of nonmonic polynomials as a function of their coefficients using only the most elementary results from an introductory course in real analysis and…
math.CV2021
A Short Proof of the Symmetric Determinantal Representation of Polynomials
Anthony Stefan, Aaron Welters
We provide a short proof of the theorem that every real multivariate polynomial has a symmetric determinantal representation, which was first proved in J. W. Helton, S. A. McCullou…