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

By Rong Huang. 2008

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/3393b45bf06658f5b89714653c453a329959714d