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arXiv · 1310.6950

Matrices with totally positive powers and their generalizations

Olga Y. Kushel
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Abstract

In this paper, eventually totally positive matrices (i.e. matrices all whose powers starting with some point are totally positive) are studied. We present a new approach to eventual total positivity which is based on the theory of eventually positive matrices. We mainly focus on the spectral properties of such matrices. We also study eventually J-sign-symmetric matrices and matrices, whose powers are P-matrices.

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Olga Y. Kushel. 2014-01-06. Matrices with totally positive powers and their generalizations. https://arxiv.org/abs/1310.6950

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