2 citations · 2 across the 4 of their papers we have counts for
6 papers
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.
Matricial Proofs of Some Classical Results about Critical Point Location
Charles R. Johnson, Pietro Paparella
The Gauss--Lucas and Bôcher--Grace--Marden theorems are classical results in the geometry of polynomials. Proofs of the these results are available in the literature, but the appro…
Realizing Suleĭmanova spectra via permutative matrices, II
Pietro Paparella, Amber R. Thrall
In this work, the real nonnegative inverse eigenvalue problem is solved for a particular class of permutative matrix. The necessary and sufficient condition there is also shown to…
A note on the Lovasz-Schrijver Semidefinite Programming Relaxation for Binary Integer Programs
Pietro Paparella
Binary Integer Programming (BIP) problems are of interest due in part to the difficulty they pose and because of their various applications, including those in graph theory, combin…