二阶分块阵的初等变换求逆  

The Attainment of the Inverse of 2×2 Block Matrix with Elementary Transformation

作　　者：郭华[1] 

机构地区：[1]渝州大学数学与计算机科学系,重庆400033

出　　处：《渝州大学学报》2001年第3期85-88,共4页

摘　　要：将矩阵的初等变换、初等方阵的定义推广到二阶分块阵上 ,给出了用推广的初等变换求逆的依据 。In the paper, the author populizes the definition of th e elementary tr ansformation and that of the elementary square matrix into 2~{!A~}2 block matrix. Th e author gives out the basis for the attainment of an inverse matrix with the po pulized elementary transformation. The author also shows the forms of inverse of 2~{!A~}2 invertible block matrices with varieties of forms.

关 键 词：二阶分块阵 可逆阵 初等变换 初等方阵 逆阵公式 二阶可逆分块阵 

分 类 号：O151.21[理学—数学]