JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 3, Pages 369 - 381
(June 2017) http://dx.doi.org/10.17654/NT039030369 |
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TWO NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES
He Jian-Feng
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Abstract: In this paper, a new upper bound on the spectral radius of the Hadamard product of two nonnegative matrices and a new lower bound on the smallest eigenvalue of the Fan product of two nonsingular M-matrices are given, which further improve the results of [5] in some cases. Finally, some examples are given to show that the bounds are better than some previous results. |
Keywords and phrases: nonnegative matrices, Hadamard product, Fan product, eigenvalue, M-matrix. |
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