Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602418 | Linear Algebra and its Applications | 2010 | 13 Pages |
Abstract
A new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M-matrices A and B is given. Meanwhile, we also obtain a new upper bound on the spectral radius ρ(A∘B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some inequalities for the Hadamard product and the Fan product of matrices, Linear Algebra Appl. 428 (2008) 1551–1559].
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