English

Representations for the Drazin inverse of the generalized Schur complement

Rings and Algebras 2013-12-05 v1

Abstract

In this paper we present expressions for the Drazin inverse of the generalized Schur complement ACDdBA-CD^{d}B in terms of the Drazin inverses of AA and the generalized Schur complement DBAdCD-BA^{d}C under less and weaker restrictions, which generalize several results in the literature and the formula of Sherman-Morrison-Woodbury type.

Keywords

Cite

@article{arxiv.1312.1239,
  title  = {Representations for the Drazin inverse of the generalized Schur complement},
  author = {Daochang Zhang and Xiankun Du},
  journal= {arXiv preprint arXiv:1312.1239},
  year   = {2013}
}
R2 v1 2026-06-22T02:20:49.404Z