TITLE:
Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices
AUTHORS:
Dongjie Gao
KEYWORDS:
M-Matrix, Nonnegative Matrix, Fan Product, Hadamard Product, Spectral Radius, Minimum Eigenvalue
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.5 No.3,
September
1,
2015
ABSTRACT: 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.