The perturbation for the Drazin inverse

Chi-Ye Wu, Ting‐Zhu Huang · Journal of applied mathematics & informatics · 2009

A representation for the Drazin inverse of an arbitrary square matrix in terms of the eigenprojection was established by Rothblum [SIAM J. Appl. Math., 31(1976) :646-648]. In this paper perturbation results based on the representation for the Darzin inverse are developed. Norm estimates of and are derived when IIEI12 is small.

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