%0 Journal Article
%T Spectral radius of Hadamard product versus conventional product for non-negative matrices
%A Koenraad M. R. Audenaert
%J Mathematics
%D 2009
%I arXiv
%X We prove an inequality for the spectral radius of products of non-negative matrices conjectured by X. Zhan. We show that for all $n\times n$ non-negative matrices $A$ and $B$, $\rho(A\circ B)\le\rho((A\circ A)(B\circ B))^{1/2}\le\rho(AB)$, where $\circ$ represents the Hadamard product.
%U http://arxiv.org/abs/0907.3312v1