摘要
考虑分块矩阵和矩阵运算中的常见秩不等式的取等条件,利用分块矩阵的初等变换给出了若干秩不等式取等的充要条件.
Conditions of the equlity signs for some common rank inequalities of matrices which appear in block matrices and the matrix operations are studied. The necessary and sufficient conditions of equlity signs for some matrix rank inequalities are given by using the elementary transformation of block matrices.
出处
《天津师范大学学报(自然科学版)》
CAS
2014年第4期28-31,共4页
Journal of Tianjin Normal University:Natural Science Edition
基金
天津师范大学博士科研启动基金资助项目(52XB1107)
关键词
秩不等式
分块矩阵
初等变换
rank inequalities
block matrix
elementary transformation