关于广义逆符号唯一阵的三角分块形式  

On the Matrices of Triangular Block Form with Signed Generalized Inverses

作　　者：单海英[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2001年第4期479-483,共5页Journal of Tongji University:Natural Science

基　　金：中国高校博士点基金资助项目 ( 2 0 0 0 0 2 470 5 )

摘　　要：文献《Matricesofsign solvablelinearsystems》给出了项秩为n的m×n矩阵A为广义逆符号唯一阵的一些刻画 ,并提出了在特定的三角分块形式下 ,A+符号唯一的特征刻画问题 .在文献工作的基础上对此问题进行了进一步的研究并解决了文献《Matriceswithsignedgeneralizedinverses》Some characterizations of the m by n matrices A with ρ (A)=n have signed generalized inverses (where ρ (A)=n is the term rank of A)were given in and a problem about the characterization of the matrices in a special triangular block form to have signed generalized inverses was proposed in .In this paper,we solve several cases of this problem and obtain some further results about matrices having signed generalized inverses.

关 键 词：广义逆符号唯一阵 三角分块形式 实矩阵 符号模式 强符号非异阵 

分 类 号：O151.21[理学—数学]