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.
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页码：252 / 270
页数：19
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