On group inverse of singular Toeplitz matrices

被引：37
|
作者：
Wei, YM [1 ]
Diao, H
机构：
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 399卷
关键词：
group inverse; index; Toeplitz matrix;
D O I：
10.1016/j.laa.2004.08.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that the group inverse of a real singular Toeplitz matrix can be represented as the sum of products of lower and upper triangular Toeplitz matrices. Such a matrix representation generalizes "Gohberg-Semencul formula" in the literature. (c) 2004 Elsevier Inc. All rights reserved.
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页码：109 / 123
页数：15
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