Helena vSmigoc

activity

20162021

most citedDiagonal elements in the Nonnegative Inverse Eigenvalue Problem

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

collaborators

7 papers

math.CO2021

Paths are generically realisable

Rupert H. Levene, Polona Oblak, Helena Šmigoc

We show that every $0$ - $1$ multiplicity matrix for a simple graph $G$ is generically realisable for $G$ . In particular, every multiplicity matrix for a path is generically realisab…

math.SP2019

The integer cp-rank of $2 \times 2$ matrices

Thomas Laffey, Helena Šmigoc

We show the cp-rank of an integer doubly nonnegative $2 \times 2$ matrix does not exceed $11$ .

math.SP2018

Diagonal realizability in the Nonnegative Inverse Eigenvalue Problem

Thomas J. Laffey, Helena Šmigoc

We show that if a list of nonzero complex numbers $σ = (λ_{1}, λ_{2}, \dots, λ_{k})$ is the nonzero spectrum of a diagonalizable nonnegative matrix, then $σ$ is the nonzero spectrum of a dia…

math.OC2018

Integer completely positive matrices of order two

Thomas Laffey, Helena Šmigoc

We show that every integer doubly nonnegative $2 \times 2$ matrix has an integer cp-factorization.

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