Displacement rank of the Drazin inverse

Authors:
Huaian Diao;Yimin Wei;Sanzheng Qiao
Affiliations:
Institute of Mathematics, Fudan University, Shanghai 200433, PR China;Department of Mathematics, Fudan University, Shanghai 200433, PR China;Department of Computing and Software, McMaster University, Hamilton, Ont., Canada L8S 4L7
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

Citing 4
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Abstract

In this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displacement and the generalized displacement are discussed. We present upper bounds for the ranks of the displacements of the Drazin inverse. The general results are applied to the group inverse of a structured matrix such as close-to-Toeplitz, generalized Cauchy, Toeplitz-plus-Hankel, and Bezoutians.