The perturbation of Drazin inverse and dual Drazin inverse

In this study, we derive the Drazin inverse (A+εB)D{\left(A+\varepsilon B)}^{D} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)>1{\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k{\rm{Ind}}\left(A)=k and the group inverse (A+εB)#{\left(A+\varepsilon B)}^{\#} of the complex matrix A+εBA+\...

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Bibliographic Details
Main Authors: Wang Hongxing, Cui Chong, Wei Yimin
Format: Article
Language:English
Published: De Gruyter 2024-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2023-0110