3 citations · 6 across the 2 of their papers we have counts for
3 papers
math.SP2017★ 3 cited
Diagonal elements in the Nonnegative Inverse Eigenvalue Problem
Richard Ellard, Helena Šmigoc
We say that a list of complex numbers is "realisable" if it is the spectrum of some (entrywise) nonnegative matrix. The Nonnegative Inverse Eigenvalue Problem (NIEP) is the problem…
math.CA2017★ 3 cited
An extension of the Hermite-Biehler theorem with application to polynomials with one positive root
Richard Ellard, Helena Šmigoc
If a real polynomial is Hurwitz stable (every root if lies in the open left half-plane), then the Hermite-Biehler Theorem says that the polynomials $p(-x^…
math.CA2016
Families of Newton-like inequalities for sets of self-conjugate complex numbers
Richard Ellard, Helena Šmigoc
We derive families of Newton-like inequalities involving the elementary symmetric functions of sets of self-conjugate complex numbers in the right half-plane. These are the first k…