Formulas for the drazin inverse of special block matrices

被引：40

作者：

Castro-González, N ^{[1
]}

Dopazo, E ^{[1
]}

Robles, J ^{[1
]}

机构：

[1] Univ Politecn Madrid, Fac Informat, E-28660 Madrid, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期

关键词：

Drazin inverse; block matrix; binomial coefficients;

D O I：

10.1016/j.amc.2005.03.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Properties of the Drazin inverse of the matrix F = ((I)(E) (I)(0)) with E square, are investigated. Based on this approach, it is obtained an explicit formula for the Drazin inverse of matrices of the form A = ((I)(Q) (Pt)(UVt)), where U, V, P and Q are n x k. The representation for A(D) is given in terms of k x k matrices involving the individual blocks under some conditions. Some special cases are also analyzed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：252 / 270

页数：19

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