用“广义初等变换”求分块矩阵的逆矩阵

Calculating Inverse Matrix of Partitioned Matrix with Generized Elementary Transformation

行数与列数很大的矩阵直接运算很不方便,而"广义初等变换"提供了简便易行的方法.用实例说明了利用"初等变换法"求分块矩阵的逆矩阵的方法和步骤,并与公式法、矩阵的初等变换法、待定子块法等进行了比较.

A matrix with a large number of lines and rows is not convenient to calculate the result directly.This paper presents a simple and convenient method--elementary transformation.Comparing with other methods,the paper explains through comparing the way and procedures of calculating inverted matrix of partitioned matrix with generalized elementary transformation by examples in the hope of providing a space to choose for some related scientific research and business management.