矩阵的降阶定理及其应用  

Matrix Reduction Theorems and Their Application

作　　者：呙林兵[1] 

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《河南教育学院学报（自然科学版）》2011年第3期7-8,15,共3页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：给出了矩阵求逆的几个降阶定理,利用这些定理可将求高阶矩阵的逆转化为求低阶矩阵的逆,并由定理导出了两个推论,这些定理及其推论在求逆矩阵的过程中具有重要的意义.Several reduction theorems for matrix inversion are given, so matrix inversion of high demand can be converted into that of low demand by these theorems. Two inferences are derived by the theorems, both theorems and their inferences have important significance in matrix inversion.

关 键 词：矩阵 可逆矩阵 矩阵的逆 降阶定理 分块矩阵 

分 类 号：O151.21[理学—数学]