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

Authors

HAIFENG LIAN
QINGPING ZENG

DOI

10.3906/mat-1505-4

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.

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