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.

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

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