关于M-矩阵最小特征值的几个不等式

Some Inequalities on the Minimum Eigenvalue of M-matrix

首先给出了不可约M-矩阵最小特征值q(A)界的较易计算的新不等式,其次利用该不等式与柯西-施瓦兹不等式,得到了M-矩阵A C-1的最小特征值q(AOC-1)的新的不等式。这些结果是对M-矩阵最小特征值界的估计的有益补充。

First of all, more easily calculation new inequality of irreducible M- matrix of minimum eigenvalue are given. Next the new inequalities of minimum eigenvalue of M- matrix is obtained through the inequality and cauchy-schwarz inequality. These results are beneficial to the estimate of the M- matrix minimum eigenvalue bound.