Abstract

It is well known that matrices with a UV-displacement structure possess generalized inverse with a VU-displacement structure. Estimations for the displacement rank of A d, W U− VA d, W are presented, where A d, W is the W-weighted Drazin inverse of A. We extend the results for the Drazin inverse and group inverse, respectively. In the end, the perturbation of W-weighted Drazin inverse A d, W is studied.

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