Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices

被引：4
|
作者：
Shakoor, Abdul [1 ]
Yang, Hu [1 ]
Ali, Ilyas [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
OPERATOR MATRICES; PERTURBATION; REPRESENTATIONS;
D O I：
10.1155/2013/804313
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a formula of (P + Q)(D) under the conditions P(2)Q + QPQ = 0, P(3)Q = 0, and PQPQ = 0. Then, we apply it to give some expressions for the Drazin inverse of block matrix M = [(Graphics)] (A and D are square matrices) under some conditions, generalizing some recent results in the literature. Finally, numerical examples are given to illustrate our results.
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页数：7
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