严格对角占优 M－矩阵最小特征值下界改进的估计式

摘要

研究了严格对角占优 M －矩阵 A 的最小特征值τ（A）下界的估计问题，利用 A 的逆矩阵 A－1主对角元素的新估计式，给出了τ（A）提高的新估计式，理论证明表明，新的估计式改进了李朝迁2013年给出的结果，而数值算例对结果进行了进一步的验证。%The paper studied the problem of estimating of lower bound minimum eigenvalue τ(A)for strictly diagonally dominant M -matrix,and obtained some new estimations of τ(A)by using new estimations of non diagonally elements of strictly diagonally dominant M-matrix.Theoretical proof showed that new estimates improved results given by LI Chaoqian in 2013,and numerical examples were presented to further verify the results.