Richard Ellard

most citedDiagonal elements in the Nonnegative Inverse Eigenvalue Problem

3 citations · 6 across the 2 of their papers we have counts for

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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 $f (x) = p (x^{2}) + x q (x^{2})$ is Hurwitz stable (every root if $f$ 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…