20 citations · 33 across the 5 of their papers we have counts for
5 papers
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.
Matrix roots of imprimitive irreducible nonnegative matrices
Judith J. McDonald, Pietro Paparella
Using matrix function theory, Perron-Frobenius theory, combinatorial matrix theory, and elementary number theory, we characterize, classify, and describe in terms of the Jordan can…
Jordan chains of -cyclic matrices
Judith J. McDonald, Pietro Paparella
Arising from the classification of the matrix-roots of a nonnegative imprimitive irreducible matrix, we present results concerning the Jordan chains of an -cyclic matrix. We als…
Matrix Roots of Eventually Positive Matrices
Judith J. McDonald, Pietro Paparella, Michael J. Tsatsomeros
Eventually positive matrices are real matrices whose powers become and remain strictly positive. As such, eventually positive matrices are a fortiori matrix roots of positive matri…
Block LU factorization of M-matrices
Judith J. McDonald, Hans Schneider
It is well known that any nonsingular M-matrix admits an LU factorization into M-matrices (with L and U lower and upper triangular respectively) and any singular M-matrix is permut…