Spectral radius of Hadamard product versus conventional product for non-negative matrices - Mathematics > Functional AnalysisReportar como inadecuado




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Abstract: We prove an inequality for the spectral radius of products of non-negativematrices conjectured by X. Zhan. We show that for all $n\times n$ non-negativematrices $A$ and $B$, $ hoA\circ B\le hoA\circ AB\circB^{1-2}\le hoAB$, where $\circ$ represents the Hadamard product.



Autor: Koenraad M.R. Audenaert

Fuente: https://arxiv.org/







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