Some new bounds on the spectral radius of matrices |
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| Authors: | Qingbing Liu Guoliang Chen Linlin Zhao |
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| Institution: | a Department of Mathematics, East China Normal University, Shanghai 200241, PR China
b Department of Mathematics, Zhejiang Wanli University, Ningbo 315100, PR China |
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| Abstract: | A new lower bound on the smallest eigenvalue τ(AB) 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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| Keywords: | 15A15 15A48 |
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