Matrix roots of imprimitive irreducible nonnegative matrices
Rings and Algebras
2015-06-12 v2
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.
Keywords
Cite
@article{arxiv.1407.4487,
title = {Matrix roots of imprimitive irreducible nonnegative matrices},
author = {Judith J. McDonald and Pietro Paparella},
journal= {arXiv preprint arXiv:1407.4487},
year = {2015}
}
Comments
To appear in Linear Algebra and its Applications