关于矩阵正定性判定的注记

A Note on the Decision Methods of Positive Definite Matrices.

该文利用Ｂｒｕａｌｄｉ关于矩阵特征值的估计，以及关于矩阵非奇异性定理，给出了判定矩阵正定性的若干结果。这些结果推广了强对角占优判定法。

This paper presents some results on the decision methods of positive definite matrices by means of Brualdi’s estimate of characteristic values of matrices and about the nonsingularity of matrices.These results extend the decision methods of strong diagonally dominant.