A note on some properties of the Perron root of nonnegative irreducible matrices

DOI10.1007/S00200-007-0042-0zbMath1163.15022OpenAlexW2120239388MaRDI QIDQ1016577

Holger Boche, Slawomir Stanczak

Publication date: 6 May 2009

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-007-0042-0

zbMATH Keywords

log-convexityPerron-Frobenius theorypositive semidefinite matricesPerron rootnonnegative irreducible matrices

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Non-negative matrices and Markov chains. 2nd ed
• Power control and capacity of spread spectrum wireless networks
• On systems of linear equations with nonnegative coefficients: log-convexity of the Perron root and the \(l^2\)-norm of the positive solution with applications
• Matrix Analysis

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