The representations for the Drazin inverse of a sum of two matrices involving an idempotent matrix and applications

被引：0
|
作者：
Liu, Xifu [1 ]
机构：
[1] E China Jiatong Univ, Sch Basic Sci, Nanchang, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Drazin inverse; Binomial coefficient; Block matrix; Idempotent matrix; TRIANGULAR BLOCK MATRICES; BANACHIEWICZ-SCHUR FORMS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study the Drazin inverse of P+Q, where P is idempotent, and derive additive formulas under condition PQ(2)=0 or Q(2)P=0. As its applications we establish some representations for the Drazin inverse of a class of block matrices with an idempotent subblock and under some conditions expressed in terms of the individual blocks. The results extend earlier work obtained by several authors.
引用
收藏
页码：121 / 137
页数：17
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