Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
Department of Mathematics and Information Science, Henan University of Finance and Economics, Zhengzhou 450046, China
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
Engineering School, DEIM, University of Tuscia, 01100 Viterbo, Italy
Authors to whom correspondence should be addressed.
Received: 14 November 2018 / Revised: 21 January 2019 / Accepted: 31 January 2019 / Published: 3 February 2019
In this paper, an upper bound on the spectral radius
for the Hadamard product of two nonnegative matrices (A
) and the minimum eigenvalue
of the Fan product of two M
) 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.
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MDPI and ACS Style
Guo, Q.; Leng, J.; Li, H.; Cattani, C. Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices. Mathematics 2019, 7, 147.
Guo Q, Leng J, Li H, Cattani C. Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices. Mathematics. 2019; 7(2):147.
Guo, Qianping; Leng, Jinsong; Li, Houbiao; Cattani, Carlo. 2019. "Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices." Mathematics 7, no. 2: 147.
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