New circuit bounds for the Perron root of a nonnegative matrix

DOI10.1007/s10958-012-0787-2zbMath1259.15026OpenAlexW2072105315MaRDI QIDQ690607

L. Yu. Kolotilina

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0787-2

zbMATH Keywords

two-sided boundsdirected graphsPerron rootirreducible nonnegative matricessimple circuit

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Bounds and inequalities for the Perron root of a nonnegative matrix
• Bounds for the Perron root using max eigenvalues
• Bounds and inequalities for the Perron root of a nonnegative matrix. II: Circuit bounds and inequalities
• Matrices eigenvalues, and directed graphs

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