A note on the nonzero spectrum of irreducible matrices

2009/10/19 by Shmuel Friedland, Friedland, Shmuel · 1 citation
Computer Science · Engineering · Mathematics · #15A18 #15A29 #15A42 #15B36 #15B48 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Spectral Theory (math.SP) #graph theory and CDMA systems #math.SP #msc:15A18 #msc:15A29 #msc:15A42 #msc:15B36 #msc:15B48

paper · pdf · doi:10.48550/arxiv.0910.3415

5 pages, an updated reference

openalex publication_date 2009/10/19 · arxiv created 2011/03/19 · arxiv updated 2011/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \R₊ and \Z₊, respectively, to irreducible matrices.

Cited by

• A constructive version of the Boyle-Handelman theorem on the spectra of nonnegative matrices

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