Some inequalities for the Hadamard product and the Fan product of matrices

@inproceedings{Huang2008SomeIF,
  title={Some inequalities for the Hadamard product and the Fan product of matrices},
  author={Rong Huang},
  year={2008}
}
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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