An extension of Cline''s formula for a generalized Drazin inverse

Authors

HAIFENG LIAN
QINGPING ZENG

Abstract

In this note we give an answer to a question recently posed by Zeng and Zhong, to note that Cline's formula for a generalized Drazin inverse extends to the case when $aba=aca$. Cline's formula for a pseudo Drazin inverse is also presented in this case.

DOI

10.3906/mat-1505-4

Keywords

Cline's formula, generalized Drazin inverse, pseudo Drazin inverse, quasinilpotent

First Page

161

Last Page

165

Recommended Citation

LIAN, HAIFENG and ZENG, QINGPING (2016) "An extension of Cline''s formula for a generalized Drazin inverse," Turkish Journal of Mathematics: Vol. 40: No. 1, Article 14. https://doi.org/10.3906/mat-1505-4
Available at: https://journals.tubitak.gov.tr/math/vol40/iss1/14