A note on the formulas for the Drazin inverse of the sum of two matrices

In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive formula provided by Bu et al. (J. Appl. Math....

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Bibliographic Details
Main Authors: Liu Xin, Yang Xiaoying, Wang Yaqiang
Format: Article
Language:English
Published: De Gruyter 2019-03-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2019-0015