Cauchy inequalities for the spectral radius of products of diagonal and nonnegative matrices

DOI10.1090/S0002-9939-2014-12119-8zbMath1298.15028MaRDI QIDQ3190370

Joel E. Cohen

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral radiusCauchy inequalitynonnegative matricespopulation dynamicsirreducibleeigenvalue inequalityRogers-Hölder inequality

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Processes in random environments (60K37)

Related Items (3)

A sharpened condition for strict log-convexity of the spectral radius via the bipartite graph ⋮ Operator norm and numerical radius analogues of Cohen's inequality ⋮ Stochastic population dynamics in a Markovian environment implies Taylor's power law of fluctuation scaling

Cites Work

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• Stochastic population dynamics in a Markovian environment implies Taylor's power law of fluctuation scaling
• Eigenvalue inequalities for products of matrix exponentials
• Population dynamics in variable environments. IV. Weak ergodicity in the Lotka equation
• A sharpened condition for strict log-convexity of the spectral radius via the bipartite graph
• Puzzles and Paradoxes Involving Averages: An Intuitive Approach
• A CONVEXITY PROPERTY OF POSITIVE MATRICES
• Convex spectral functions

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