一类弱对角占优矩阵特征值的性质及其应用

Eigenvalues of a Class of Diagonally Dominant Matrics and Application

本文研究ｎ阶弱行（或列）对角占优实矩阵Ａ＝（ａｉｊ）的特征值问题，得到了当其对角线元素均为负时，其特征值均具有负实部或为零的结果。

This paper considers diagohally dominant matrics A= (aij) and its eigenvalues. The results is that if all the elements of diagonal of matrix are negative, then, the eigenvalues of matrix have negative real perts or zero.