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+\...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2024-01-01
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Series: | Special Matrices |
Subjects: | |
Online Access: | https://doi.org/10.1515/spma-2023-0110 |