A note on the nonzero spectrum of irreducible matrices

Abstract

In this note we extend the necessary and sufficient conditions of Boyle-Handleman 1991 and Kim-Ormes-Roush 2000 for a nonzero eigenvalue multiset of primitive matrices over ${\mathbb{R}}_{+}$ and ${\mathbb{Z}}_{+}$, respectively, to irreducible matrices.

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