矩阵的Hadamard积和Fan积的特征值界的新估计

doi:10.16088/j.issn.1001-6600.2015.03.010

Journal of Guangxi Normal University(Natural Science Edition) ›› 2015, Vol. 33 ›› Issue (3): 66-70.doi: 10.16088/j.issn.1001-6600.2015.03.010

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New Bounds on Eigenvalue of the Hadamard Product and the Fan Product of Matrices

WANG Feng

College of Science,Guizhou Minzu University, Guiyang Guizhou 550025, China

Received:2015-01-20 Online:2015-05-10 Published:2018-09-20

Abstract

Abstract: A new upper bound on the spectral radius for the Hadamard product of two nonnegative matrices A and B and a new lower bound on the minimum eigenvalue for the Fan product of two M-matrices A and B are given. The estimating formulas of the bounds only depend on the entries of the matrices. Therefore, they are easy to calculate. Numerical examples show that the new formulas can improve some existing ones in some cases.

Key words: nonnegative matrix, M-matrix, Hadamard product, Fan product, spectral radius, minimum eigenvalue

CLC Number:

O151.21

WANG Feng. New Bounds on Eigenvalue of the Hadamard Product and the Fan Product of Matrices[J].Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(3): 66-70.

References

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[3] ZHAO Lin-lin. Two inequalities for the Hadamard product of matrices [J]. J Inequal Appl,2012, 2012(1):122.
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