Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
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In this paper, an upper bound on the spectral radius ρ ( A ∘ B ) for the Hadamard product of two nonnegative matrices (A and B) and the minimum eigenvalue τ ( C ★ D ) of the Fan product of two M-matrices (C and D) are researched. These bounds complement some corresponding results on the simple type bounds. In addition, a new lower bound on the minimum eigenvalue of the Fan product of several M-matrices is also presented. These results and numerical examples show that the new bounds improve some existing results.
2018 ◽
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2004 ◽
Vol 378
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pp. 159-166
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2020 ◽
Vol 117
(28)
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pp. 16181-16186
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1981 ◽
Vol 18
(01)
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pp. 256-262
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