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math.SP2016★ 18 cited
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…
math.SP2016★ 5 cited
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…
math.CO2016★ 1 cited
Spectrally Perron Polynomials and the Cauchy-Ostrovsky Theorem
Pietro Paparella
In this note, we simplify the statements of theorems attributed to Cauchy and Ostrovsky and give proofs of each theorem via combinatorial and nonnegative matrix theory. We also sho…