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

DOI10.1007/S00200-003-0142-4zbMath1062.15002OpenAlexW1969971251MaRDI QIDQ1879476

Holger Boche, Slawomir Stanczak

Publication date: 22 September 2004

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

Full work available at URL: https://doi.org/10.1007/s00200-003-0142-4

zbMATH Keywords

spectral radiuslinear equationslog-convexitywireless communication networks

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Convexity of real functions of several variables, generalizations (26B25) Linear equations (linear algebraic aspects) (15A06) Communication theory (94A05)

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

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