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.

引用

页码：75 / 84

页数：10

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