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

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

Inequalities for convex functions on the lattice of partitions of a set partially ordered by refinement lead to multivariate generalizations of inequalities of Cauchy and Rogers-Hölder and to eigenvalue inequalities needed in the theory of population dynamics in Markovian environments: If $A$ is an $n\times n$ nonnegative matrix, $n > …