Matrix Roots of Eventually Positive Matrices
Rings and Algebras
2015-06-04 v1
Abstract
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 matrices, which motivates us to study the matrix roots of primitive matrices. Using classical matrix function theory and Perron-Frobenius theory, we characterize, classify, and describe in terms of the real Jordan canonical form the th-roots of eventually positive matrices.
Cite
@article{arxiv.1310.6699,
title = {Matrix Roots of Eventually Positive Matrices},
author = {Judith J. McDonald and Pietro Paparella and Michael J. Tsatsomeros},
journal= {arXiv preprint arXiv:1310.6699},
year = {2015}
}
Comments
Accepted for publication in Linear Algebra and its Applications