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arXiv · 1310.6699

Matrix Roots of Eventually Positive Matrices

Judith J. McDonald·Pietro Paparella·Michael J. Tsatsomeros
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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 $p$th-roots of eventually positive matrices.

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Judith J. McDonald, Pietro Paparella, Michael J. Tsatsomeros. 2013-10-23. Matrix Roots of Eventually Positive Matrices. https://doi.org/10.1016/j.laa.2013.10.052

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