NDLI: Some additive results on Drazin inverse

Content Provider	Springer Nature Link
Author	Liu, Xiao ji Qin, Xiao lan Julio, Benítez
Copyright Year	2015
Abstract	In this paper, we investigate additive results of the Drazin inverse of elements in a ring R. Under the condition ab = ba, we show that a + b is Drazin invertible if and only if aa $^{ D }$(a+b) is Drazin invertible, where the superscript D means the Drazin inverse. Furthermore we find an expression of (a + b)$^{ D }$. As an application we give some new representations for the Drazin inverse of a 2 × 2 block matrix.
Starting Page	479
Ending Page	490
Page Count	12
File Format	PDF
ISSN	10051031
Journal	Applied Mathematics-A Journal of Chinese Universities
Volume Number	30
Issue Number	4
e-ISSN	19930445
Language	English
Publisher	Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Publisher Date	2015-12-15
Publisher Place	Hangzhou
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Drazin inverse ring block matrix Mathematics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Some additive results on Drazin inverse