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

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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.

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Lian, H., & Zeng, Q. (2016). An extension of Cline’s formula for a generalized Drazin inverse. Turkish Journal of Mathematics, 40(1), 161–165. https://doi.org/10.3906/mat-1505-4

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