(University of Niš, Faculty of Sciences and Mathematics, 2024) Ilić, Ivana; Stanišev, Ivana; Višnjić, Jelena
In this paper, we investigate the additive properties of the Drazin inverse for complex matrices. We derive new additive formulas for the Drazin inverse, which generalize some previous results on the subject. Furthermore, we give a new representation for the Drazin inverse of a block matrix, which extends some known representations.