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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Cheng, G. New bounds for the minimum eigenvalue of the fan product of two M-matrices. Czech Math J 64, 63–68 (2014). https://doi.org/10.1007/s10587-014-0083-z
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DOI: https://doi.org/10.1007/s10587-014-0083-z