加边矩阵自反广义逆的性质(英文)

On the Properties of Reflexive G-inverses of A Bordered Matrix

该文研究加边矩阵M =ABC 0的自反广义逆M-r =D1D2D3 D4中的子矩阵D1,D2 ,D3 和D4的关系 ,还研究了矩阵 A-r C-rB-r 0 和M-r 之间的关系。

In this article we study the relations among D1, D2, D3, D4, which are in the reflexive g-inverse matrixM-r=D1D2D3D4of the bordered matrixM=ABC0.By using the expression of M-r, we also obtain the relation between A-rC-rB-r0 and M-r.