Matrix roots of imprimitive irreducible nonnegative matrices

Published 16 Jul 2014 in math.RA | (1407.4487v2)

Abstract: Using matrix function theory, Perron-Frobenius theory, combinatorial matrix theory, and elementary number theory, we characterize, classify, and describe in terms of the Jordan canonical form the matrix pth-roots of imprimitive irreducible nonnegative matrices. Preliminary results concerning the matrix roots of reducible matrices are provided as well.

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