Upper bounds for the spectral radius of matrices having the Perron-Frobenius property

DOI10.1186/S13660-024-03144-YzbMATH Open1546.15009MaRDI QIDQ6609594

Kaimin Li, Chaoqian Li

Publication date: 24 September 2024

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

spectral radiuspolynomialsPerron-Frobenius propertyPerron-Frobenius splitting

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings
• On the structure of the set of symmetric matrices with the Perron-Frobenius property
• Sign-consensus of linear multiagent systems under a state observer protocol
• On Perron-Frobenius property of matrices having some negative entries
• Two characterizations of matrices with the Perron-Frobenius property
• Mv-matrices: a generalization of M-matrices based on eventually nonnegative matrices
• Sign patterns that allow eventual positivity
• Reachability and Holdability of Nonnegative States
• Upper and lower bounds for the Perron root of a nonnegative matrix
• Properties of eventually positive linear input–output systems
• Perron-Frobenius theorem for matrices with some negative entries

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