A simple proof for the inequality between the Perron root of a nonnegative matrix and that of its geometric symmetrization

DOI10.1134/S1995080210030042zbMath1257.15012OpenAlexW2022063806MaRDI QIDQ694350

Jorma Kaarlo Merikoski, Yurii A. Al'pin

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080210030042

zbMATH Keywords

inequalities involving eigenvaluesspectral radiusnonnegative matricesPerron rootgeometric symmetrization

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

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Cites Work

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• Some monotonicity properties of Schur powers of matrices and related inequalities
• Tight bounds on the spectral radius of asymmetric nonnegative matrices
• The perron root of a weighted geometric mean of nonneagative matrices
• Lower bounds for the Perron root of a nonnegative matrix

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