On group inverse of singular Toeplitz matrices

被引：35
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.
引用
收藏
页码：109 / 123
页数：15
相关论文
共 50 条
[31]   Companion matrices and their relations to Toeplitz and Hankel matrices [J].
Luo, Yousong ;
Hill, Robin .
SPECIAL MATRICES, 2015, 3 (01) :214-226
[32]   Infinite limitedly-toeplitz extensions of Toeplitz matrices [J].
Il'in S.N. .
Journal of Mathematical Sciences, 2006, 132 (2) :160-165
[33]   Noncirculant Toeplitz matrices all of whose powers are Toeplitz [J].
Kent Griffin ;
Jeffrey L. Stuart ;
Michael J. Tsatsomeros .
Czechoslovak Mathematical Journal, 2008, 58 :1185-1193
[34]   A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices [J].
Nobari, Elham ;
Kakavandi, Bijan Ahmadi .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 548 :189-202
[35]   The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices [J].
Xie, Pengpeng ;
Wei, Yimin .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 498 :117-135
[36]   A note on inversion of Toeplitz matrices [J].
Lv, Xiao-Guang ;
Huang, Ting-Zhu .
APPLIED MATHEMATICS LETTERS, 2007, 20 (12) :1189-1193
[37]   Deconvolution and Regularization with Toeplitz Matrices [J].
Per Christian Hansen .
Numerical Algorithms, 2002, 29 :323-378
[38]   Toeplitz and Hankel matrices on Cn [J].
Yoshino, T .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2001, 41 (01) :115-122
[39]   Permutability of Toeplitz and Hankel matrices [J].
Chugunov, V. N. ;
Ikramov, Kh. D. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 467 :226-242
[40]   ASYMPTOTIC PSEUDOMODES OF TOEPLITZ MATRICES [J].
Boettcher, Albrecht ;
Grudsky, Sergei ;
Unterberger, Jeremie .
OPERATORS AND MATRICES, 2008, 2 (04) :525-541
12345