Matrix roots of imprimitive irreducible nonnegative matrices
arXiv:1407.4487 · doi:10.1016/j.laa.2015.06.005
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.
To appear in Linear Algebra and its Applications