具有给定秩的{1}-逆与{2}-逆  

{1}-Inverse and {2}-Inverse Matrix with Given Rank

作　　者：何卫[1] 李元红[1] 薛峰[1] HE Wei;LI Yuan-hong;XUE Feng(Basic Subjects Department,Chongqing Communication Institute,Chongqing I400035,China)

机构地区：[1]重庆通信学院基础部,重庆400035

出　　处：《重庆师范学院学报(自然科学版)》2001年第1期86-88,共3页Journal of Chongqing Normal University(Natural Science Edition)

摘　　要：给出了矩阵的{1}-逆与{2}-逆的独特性质,讨论了具有给定秩矩阵的{1}-逆与{2}-逆的存在性、构造性问题,并得到了给定秩矩阵的{1}-逆与{2}-逆的详细结构和分类,从而对满足Penrose-Moore方程的广义逆有了更深入的了解,在实际应用中具有指导作用。This paper studies the particular characteristics of{1}-inverse and{2}-inverse matrix,the existence and structure of{1}-inverse and{2}-inverse matrix with given rank,and further discusses the detailed structure and categorization of them,which provides an in-depth look on this issue and guidelines in practical applications.

关 键 词：广义矩阵 分块矩阵 

分 类 号：O151.21[理学—数学]