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Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices

DOI: 10.4236/alamt.2015.53009, PP. 90-97

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

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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.

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