A note on the nonzero spectra of irreducible matrices

DOI10.1080/03081087.2011.616203zbMath1257.15006arXiv0910.3415OpenAlexW2159753498MaRDI QIDQ3143328

Shmuel Friedland

Publication date: 29 November 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3415

zbMATH Keywords

primitive matricesnonnegative inverse eigenvalue problemBoyle-Handelman theoremKim-Ormes-Roush theoremnonnegative irreducible integral matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items

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

Cites Work

• The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs
• The spectra of nonnegative matrices via symbolic dynamics
• On an inverse problem for nonnegative and eventually nonnegative matrices
• A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
• A note on an inverse problem for nonnegative matrices
• The spectra of nonnegative integer matrices via formal power series