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arXiv · 1209.3882

On semigroups of matrices with nonnegative diagonals

Grega Cigler·Roman Drnovšek
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Abstract

We give a short proof of a recent result by Bernik, Mastnak, and Radjavi, stating that an irreducible group of complex matrices with nonnegative diagonal entries is diagonally similar to a group of nonnegative monomial matrices. We also explore the problem when an irreducible matrix semigroup in which each member is diagonally similar to a nonnegative matrix is diagonally similar to a semigroup of nonnegative matrices.

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Grega Cigler, Roman Drnovšek. 2012-09-18. On semigroups of matrices with nonnegative diagonals. https://arxiv.org/abs/1209.3882

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