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DU Kun. Bounds for eigenvalues of Hadamard product and Fan product of matrices (Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 45-50.
Citation:
DU Kun. Bounds for eigenvalues of Hadamard product and Fan product of matrices (Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 45-50.
DU Kun. Bounds for eigenvalues of Hadamard product and Fan product of matrices (Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 45-50.
Citation:
DU Kun. Bounds for eigenvalues of Hadamard product and Fan product of matrices (Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 45-50.
This paper found a new type upper bound of ρ(A。B) which was the spectral radius of the Hadamard product of two nonnegative matrices A and B by using Cauchy—Schwitz inequality and compared the new type upper bound with the classical results. In the same way, this paper found a new type lower bound of т(A★B),which was the minimum eigenvalue of the Fan product of two M--matrices A and B.