A Study of the Correlation of the Non-Singularity Degree Indexes of the Matrix

In this paper, we select 4 indexes that are commonly used to measure the degree of the non-singular of the matrix: the minimum norm of eigenvalue, the minimum norm of singular value, the condition number and the absolute value of the determinant. The Pearson correlation coefficient was calculated for every 2 pairs for the 4 indicators of the random non-singular matrix so as to compare the changes between them and to explore the correlation between these indicators. The experimental results demonstrate that there is a good linear correlation between each pair of the 4 indexes.