M矩阵与M矩阵的逆矩阵的Hadamard积的最小特征值的下界估计式

The lower bound of the minimum eigenvalue of Hadamard product of M matrix and the inverse M matrix

给出了M矩阵的逆矩阵的对角元素的一个下界及M矩阵和M矩阵的逆矩阵的Hadmard积的最小特征值的一个下界,通过理论证明改进了现有的结果,并通过数值算例进行了说明.

First,we give a lower bound for the diagonal elements of the inverse M matrix and a lower bound of the minimum eigenvalue of the product of the M matrix and the inverse M matrix. Second,the existing results are improved by the theoretical proof,and the numerical example is illustrated.