Properties of the weighted logarithmic matrix norms

被引：2
|
作者：
Hu, Guang-Da [1 ]
Liu, Mingzhu [2 ]
机构：
[1] Univ Sci & Technol Beijing, Informat Engn Sch, Beijing 100083, Peoples R China
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2008年 / 25卷 / 01期
基金：
中国国家自然科学基金;
关键词：
the logarithmic matrix norm; the logarithmically epsilon-efficient norm; Lyapunov equation;
D O I：
10.1093/imamci/dnm006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we are concerned with the properties of the weighted logarithmic matrix norms. A relation between the elliptic logarithmic matrix norm and the weighted logarithmic matrix norm is given. Based on Lyapunov equations, two weighted logarithmic matrix norms are constructed which are less than 1-logarithmic matrix norm and infinity-logarithmic matrix norm, respectively. Then, an iterative scheme is presented to obtain the logarithmically epsilon-efficient matrix norm. Numerical examples are given to illustrate the results.
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页码：75 / 84
页数：10
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