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math.SP2021
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…
math.SP2021
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…
math.SP2021
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.