THE EXPLICIT EXPRESSION OF THE DRAZIN INVERSE OF SUMS OF TWO MATRICES AND ITS APPLICATION

被引：0

作者：

Liu, Xiaoji ^{[1
]}

Xu, Liang ^{[1
]}

Yu, Yaoming ^{[2
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Peoples R China

[2] Shanghai Normal Univ, Coll Educ, Shanghai 200234, Peoples R China

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2014年 / 33期

基金：

美国国家科学基金会;

关键词：

Drazin inverse; group inverse; representation; block matrix; idempotent matrix;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give explicit expressions of (P +/- Q)d of two matrices P and Q, in terms of P, Q, P-d and Q(d), under the condition that PQ = P-2, and apply the result to finding an explicit representation for the Drazin inverse of a 2 x 2 block matrix [(A)(C) (B)(D)] under some conditions.

引用

页码：45 / 62

页数：18

共 17 条

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