Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602734 | Linear Algebra and its Applications | 2008 | 9 Pages |
Abstract
If A and B are nonsingular M-matrices, a sharp lower bound on the smallest eigenvalue τ(A★B) for the Fan product of A and B is given, and a sharp lower bound on τ(A∘B-1) for the Hadamard product of A and B-1 is derived. In addition, we also give a sharp upper bound on the spectral radius ρ(A∘B) for nonnegative matrices A and B.
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