New bounds for the minimum eigenvalue of the fan product of two M-matrices |
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| Authors: | Guanghui Cheng |
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| Institution: | 1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, P.R. China
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| Abstract: | In this paper, we mainly use the properties of the minimum eigenvalue of the Fan product of M-matrices and Cauchy-Schwarz inequality, and propose some new bounds for the minimum eigenvalue of the Fan product of two M-matrices. These results involve the maximum absolute value of off-diagonal entries of each row. Hence, the lower bounds for the minimum eigenvalue are easily calculated in the practical examples. In theory, a comparison is given in this paper. Finally, to illustrate our results, a simple example is also considered. |
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