The weighted logarithmic matrix norm and bounds of the matrix exponential

被引：64
|
作者：
Hu, GD
Liu, MZ
机构：
[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 390卷
关键词：
the weighted logarithmic matrix norm; Lyapunov equation; the matrix exponential;
D O I：
10.1016/j.laa.2004.04.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note the weighted logarithmic matrix norm is defined. The weighted logarithmic matrix norm is less than or equal to 2-logarithmic matrix norm. The bounds of the matrix exponential are obtained using the weighted logarithmic norm, which are sharper than those based on the 2-logarithmic matrix norm. Numerical examples are given to illustrate the results of the note. (C) 2004 Elsevier Inc. All rights reserved.
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页码：145 / 154
页数：10
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