M-矩阵Hadamard积最小特征值下界的进一步研究

Further Research on Lower Bounds of the Minimum Eigenvalue for the Hadamard Product of M-matrix

对两个非奇异M-矩阵的Hadamard积的最小特征值下界做进一步研究,给出在不同情况下τ(BoA-1)和τ(AoA-1)的新估计式;并从理论上证明了新估计式在一定条件下改进了现有文献的结果;算例验证表明估计式提高了已有估计式的估计精确度.

For the Hadamard product of two nonsingular M-matrices is further research, and some new lower bounds ofτ（BoA-1） and τ（AoA-1） are given in different situations. It is proved that the new estimating for- mulas improve the results of the current in some cases; numerical example show that these formulas are more accurate than several existing results.