On the Perron-Frobenius eigenvector for nonnegative integral matrices whose largest eigenvalue is integral

DOI10.1016/0024-3795(87)90081-4zbMath0622.15012OpenAlexW2041626878MaRDI QIDQ1090735

Jonathan Ashley

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90081-4

zbMATH Keywords

spectral radiusnonnegative matrixPerron-Frobenius eigenvector

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (8)

On a question of boyle and handelman concerning eigenvalues of nonnegative matrices ⋮ Some remarks on a conjecture of Boyle and Handelman ⋮ Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices ⋮ Abelian networks. II: Halting on all inputs ⋮ Nonnegative matrices, Brauer characters, normal subsets, and powers of representation modules ⋮ Matrices of Perron numbers ⋮ An Improvement of an Inequality of Fiedler Leading to a New Conjecture on Nonnegative Matrices ⋮ An upper bound on the characteristic polynomial of a nonnegative matrix leading to a proof of the Boyle-Handelman conjecture

Cites Work

• Factors and extensions of full shifts
• Algorithms for sliding block codes - An application of symbolic dynamics to information theory

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