利用严格对角占优M-矩阵A的逆矩阵A-1非主对角元素的估计式,首先给出了A-1的主对角元素的上下界,然后利用这个新界得到了最小特征值τ(A)的新估计式.理论证明和数值算例都说明新的估计式改进了李朝迁2013年给出的结果.
Using the estimators of the non-diagonally elements of strictly diagonally dominant Mmatrix,the upper and lower bounds of the elements of the principal diagonal are given;secondly;using the new bounds,the new estimators of the minimum eigenvalueτ(A)are obtained.Theoretical proof shows new estimators improve the results given by Li Chaoqian in 2013,and numerical examples are presented to further verify the results.