矩阵群逆的秩判断法及其计算

Study on Rank Judgment Method of Matrix Group Inverse and calculation

阐述矩阵的群逆,通过矩阵的秩给出了矩阵群逆存在的充分条件,并给出了计算矩阵群逆的两种方法,包括定义法和奇异值分解法。

This paper expounds the group inverse of matrix, gives the sufficient conditions for the existence of matrix group inverse through the rank of matrix, and gives two methods to calculate matrix group inverse, including definition method and singular value decomposition method.