A characterization of the Drazin inverse

被引：17

作者：

Zhang, LP ^{[1
]}

机构：

[1] No Jiatong Univ, Sch Traff & Transportat, Beijing 100044, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 335卷 / 1-3期

关键词：

Drazin inverse; rank; index; algorithm; Jordan decomposition;

D O I：

10.1016/S0024-3795(01)00274-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If A is a nonsingular matrix of order n, the inverse of A is the unique matrix X such that rank [(A)(I) (I)(X)] = rank(A). In this paper, we generalize this fact to any matrix A of order n over the complex field to obtain an analogous result for the Drazin inverse of A. We then give an algorithm for computing the Drazin inverse of A. (C) 2001 Published by Elsevier Science Inc. All rights reserved.

引用

页码：183 / 188

页数：6