Open Access Research

Two inequalities for the Hadamard product of matrices

Linlin Zhao

Author Affiliations

Department of Mathematics, Dezhou University, Dezhou, 253023 Shandong, China

Journal of Inequalities and Applications 2012, 2012:122 doi:10.1186/1029-242X-2012-122

Published: 30 May 2012

Abstract

Using a estimate on the Perron root of the nonnegative matrix in terms of paths in the associated directed graph, two new upper bounds for the Hadamard product of matrices are proposed. These bounds improve some existing results and this is shown by numerical examples.

MSC 2010: 15A42; 15B34

Keywords:
Hadamard product; spectral radius; irreducible matrix