Richard Ellard

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20132017

most citedDiagonal elements in the Nonnegative Inverse Eigenvalue Problem

3 citations · 6 across the 4 of their papers we have counts for

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2 papers · 1 filter

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 $f (x) = p (x^{2}) + x q (x^{2})$ 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^…