广义逆符号唯一阵的逆符号模式问题  

On Nonpositive Sign Pattern Matrices of Signed Generalized Inverses

作　　者：贺金陵[1] 何常香[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2008年第4期530-532,共3页Journal of Tongji University:Natural Science

基　　金：高等学校博士点基金资助项目(2000024705)

摘　　要：关于S2NS阵和广义逆符号唯一阵,有人给出了一个实矩阵是S2NS阵(或广义逆符号唯一阵)且其逆(或广义逆)非正的特征刻画,在此提出了以上问题的一个反问题,即给定一个符号模式矩阵N(非正),是否存在S2NS阵(或广义逆符号唯一阵)A使其逆(或广义逆)等于N,并且给出了这个问题的特征刻画.A real matrix A is said to have a signed generalized inverse （or signed GI）, if the sign pattern of its generalized inverse is uniquely determined by the sign pattern of A. This paper presents an imvestigation of some corresponding problems and a complete characterization is obtained about the nonpositive sign pattern matrices N which satisfy the following condition： there exists a real matrix A that has a signed generalized inverse and sgn （ A^ ＋ ） = N.

关 键 词：广义逆 符号 矩阵 有向图 

分 类 号：O151.21[理学—数学]