Representations for the Drazin Inverse of a Modified Matrix

被引:4
|
作者
Zhang, Daochang [1 ]
Du, Xiankun [1 ]
机构
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
关键词
Drazin inverse; generalized Schur complement; modified matrix; Sherman-Morrison-Woodbury formula; MOORE-PENROSE INVERSE;
D O I
10.2298/FIL1504853Z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper expressions for the Drazin inverse of a modified matrix A - (CDB)-B-d are presented in terms of the Drazin inverses of A and the generalized Schur complement D - BA(d)C under weaker restrictions. Our results generalize and unify several results in the literature and the Sherman-Morrison-Woodbury formula.
引用
收藏
页码:853 / 863
页数:11
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