New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

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Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices

Let A and B be nonnegative matrices. A new upper bound on the spectral radius ρ(A◦B) is obtained. Meanwhile, a new lower bound on the smallest eigenvalue q(A B) for the Fan product, and a new lower bound on the minimum eigenvalue q(B ◦A−1) for the Hadamard product of B and A−1 of two nonsingular M -matrices A and B are given. Some results of comparison are also given in theory. To illustrate ou...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2013

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2013-433