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Matrices with totally positive powers and their generalizations

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.

preprint2014arXivOpen access
Olga Y. Kushel
math.SP
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Olga Y. Kushel

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