华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (1): 1-12.

• 论文 •    下一篇

加边矩阵自反广义逆的性质

郭文彬；魏木生   

  1. 华东师范大学 数学系，上海 200062
  • 收稿日期:2001-01-06 修回日期:2002-03-09 出版日期:2003-03-25 发布日期:2003-03-25

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

GUO Wen-bin1,2; WEI Mu-sheng1   

  1. 1.Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. Bengbu Tank College, Anhui 233013, China
  • Received:2001-01-06 Revised:2002-03-09 Online:2003-03-25 Published:2003-03-25

摘要：

该文研究加边矩阵的自反广义逆中的子矩阵D1,D2,D3和D4的关系，还研究了矩阵和Mr-之间的关系。

关键词: 自反广义逆, 加边矩阵, QQ-SVD, 自反广义逆, 加边矩阵, QQ-SVD

Abstract: In this article we study the relations among D1,D2,D3,D4, which are in the reflexive g-inverse matrix of the bordered matrix. By using the expression of Mr-, we also obtain the relation between and Mr-.

Key words: bordered matrix, QQ-SVD, reflexive g-inverse, bordered matrix, QQ-SVD