23 citations · 110 across the 26 of their papers we have counts for
9 papers · 1 filter
Perron similarities and the nonnegative inverse eigenvalue problem
Charles R. Johnson, Pietro Paparella
The longstanding nonnegative inverse eigenvalue problem (NIEP) is to determine which multisets of complex numbers occur as the spectrum of an entry-wise nonnegative matrix. Althoug…
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.
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…
On the realizability of the critical points of a realizable list
Sarah L Hoover, Daniel A. McCormick, Pietro Paparella +1
The nonnegative inverse eigenvalue problem (NIEP) is to characterize the spectra of entrywise nonnegative matrices. A finite multiset of complex numbers is called realizable if it…
The NIEP
Charles R. Johnson, Carlos Marijuán, Pietro Paparella +1
The nonnegative inverse eigenvalue problem (NIEP) asks which lists of complex numbers (counting multiplicity) occur as the eigenvalues of some -by- entry-wise nonnegative…
A matricial view of the Karpelevič Theorem
Charles R. Johnson, Pietro Paparella
The question of the exact region in the complex plane of the possible single eigenvalues of all -by- stochastic matrices was raised by Kolmogorov in 1937 and settled by Karpe…
Row Cones, Perron Similarities, and Nonnegative Spectra
C. R. Johnson, Pietro Paparella
In further pursuit of the diagonalizable \emph{real nonnegative inverse eigenvalue problem} (RNIEP), we study the relationship between the \emph{row cone} and th…