Representation for the Drazin inverse of the block matrix

被引：0
|
作者：
Bu, Tanyi [1 ]
Zhang, Chundi [2 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Sci, Dept Appl Math, Harbin 150001, Peoples R China
来源：
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012) | 2012年
关键词：
Drazin inverse; Block matrix;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give an explicit representation for the Drazin inverse of the matrix ((A)(B) (A)(0)) (A and B are square) under the conditions (I - A(pi))(BA - AB)(I - A(pi)) = 0 and BAA(pi) = AA(pi)B, which generalizes the results given by Bu et al. (Appl. Math. Comput. 217 (2011) 4935-4943) and Gonzalez et al. (Linear Algebra Appl. 400 (2005) 253-269).
引用
收藏
页码：211 / 214
页数：4
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