23 citations · 110 across the 26 of their papers we have counts for
5 papers · 1 filter
Kronecker products of Perron similarities
Janelle M. Dockter, Pietro Paparella, Robert L. Perry +1
An invertible matrix is called a Perron similarity if one of its columns and the corresponding row of its inverse are both nonnegative or both nonpositive. Such matrices are of rel…
Jordan chains of -cyclic matrices, II
Andrew L. Nickerson, Pietro Paparella
McDonald and Paparella [Linear Algebra Appl. 498 (2016), 145--159] gave a necessary condition on the structure of Jordan chains of -cyclic matrices. In this work, that necessary…
A short and elementary proof of Brauer's theorem
Judith J. McDonald, Pietro Paparella
A short and elementary proof is given of a celebrated eigenvalue-perturbation result due to Alfred Brauer.
Polynomials that preserve nonnegative matrices of order two
Benjamin J. Clark, Pietro Paparella
A known characterization for entire functions that preserve all nonnegative matrices of order two is shown to characterize polynomials that preserve nonnegative matrices of order t…
Polynomials that preserve nonnegative matrices
Benjamin J. Clark, Pietro Paparella
In further pursuit of a solution to the celebrated nonnegative inverse eigenvalue problem, Loewy and London [Linear and Multilinear Algebra 6 (1978/79), no.~1, 83--90] posed the pr…