Bounds for the 1-norm of the inverses of some triangular matrices

被引：1
|
作者：
Oquendo, Higidio Portillo [1 ]
Pacheco, Patricia Sanez [2 ]
机构：
[1] Univ Fed Parana, Dept Math, BR-80060000 Curitiba, Parana, Brazil
[2] Fed Technol Univ Parana, Dept Math, Curitiba, Parana, Brazil
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 495卷
关键词：
Triangular matrix; Uniform bounds; Inverse matrix; Toeplitz matrix;
D O I：
10.1016/j.laa.2016.01.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find bounds for the 1-norm of the inverses of triangular matrices whose columns may decrease to zero. These results complement those obtained by Berenhaut et al. in [1] where the columns cannot decrease to zero. Also, we extend the 1-norm estimates obtained for Toeplitz matrices, by Liu et al. in [5], to a non-Toeplitz class. Finally, we construct a class of matrices where the estimates obtained are the best. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：163 / 173
页数：11
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