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.
Cline's formula, generalized Drazin inverse, pseudo Drazin inverse, quasinilpotent
LIAN, HAIFENG and ZENG, QINGPING
"An extension of Cline''s formula for a generalized Drazin inverse,"
Turkish Journal of Mathematics: Vol. 40:
1, Article 14.
Available at: https://journals.tubitak.gov.tr/math/vol40/iss1/14