%0 Journal Article %T Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices %A Dongjie Gao %J Advances in Linear Algebra & Matrix Theory %P 90-97 %@ 2165-3348 %D 2015 %I Scientific Research Publishing %R 10.4236/alamt.2015.53009 %X A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results. %K < %K i> %K M< %K /i> %K -Matrix %K Nonnegative Matrix %K Fan Product %K Hadamard Product %K Spectral Radius %K Minimum Eigenvalue %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59315