23 citations · 110 across the 26 of their papers we have counts for
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The critical exponent for generalized doubly nonnegative matrices
Xuchen Han, Charles Johnson, Pietro Paparella
It is known that the critical exponent (CE) for conventional, continuous powers of -by- doubly nonnegative (DN) matrices is . Here, we consider the larger class of diago…
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 functions that preserve the strong Perron-Frobenius property
Pietro Paparella
In this note, we characterize matrix functions that preserve the strong Perron-Frobenius property using the real Jordan canonical form of a real matrix.