Author(s)

Dongjie Gao^*

Department of Mathematics, Heze University, Heze, China.

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.

M-Matrix, Nonnegative Matrix, Fan Product, Hadamard Product, Spectral Radius, Minimum Eigenvalue

Gao, D. (2015) Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices. Advances in Linear Algebra & Matrix Theory, 5, 90-97. doi: 10.4236/alamt.2015.53009.