A note on the nonzero spectrum of irreducible matrices

Details A note on the nonzero spectrum of irreducible matrices A note on the nonzero spectrum of irreducible matrices

2009-10-19

arxiv.org/abs/0910.3415v2

Mathematics

Spectral Theory

5 pages, an updated reference

Scientific paper

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 $\R_+$ and $\Z_+$, respectively, to irreducible
matrices.

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