矩阵的分块零化方法及其应用

Partitioned Matrix ’s Zero-block Transform Method and Its Application

基于矩阵分块的方法及应用在线性代数中的重要性,把矩阵的初等变换的思想和方法应用于分块矩阵,据此给出了利用分块矩阵初等变换将矩阵的某些分块零化的办法及其在证明某些矩阵恒等式方面的应用.

In the paper, based on the importance of the method of partitioned matrix and its application in linear algebra, we apply the thought and method of elementary transformation of matrix to partitioned matrix. And under this method, we reveal some approaches of partitioned matrix＇s zero - block transformation and its application in proving some equation of matrix.