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Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices
Department of Mathematics, Heze University, Heze, China
- 1 Department of Mathematics, Heze University, Heze, China
Advances in Linear Algebra & Matrix Theory·Volume 05 (2015)·Pages 90–97·Published 26 August 2015·DOI10.4236/alamt.2015.53009
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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.
Keywords<i>M</i>-MatrixNonnegative MatrixFan ProductHadamard ProductSpectral RadiusMinimum Eigenvalue
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