BOUNDS OF THE MATRIX EIGENVALUES AND ITS EXPONENTIAL BY LYAPUNOV EQUATION

被引：0
|
作者：
Hu, Guang-Da [1 ]
Mitsui, Taketomo [2 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
[2] Doshisha Univ, Fac Sci & Engn, Dept Math Sci, Kyoto 6100394, Japan
来源：
KYBERNETIKA | 2012年 / 48卷 / 05期
基金：
日本学术振兴会; 中国国家自然科学基金; 美国国家科学基金会;
关键词：
Lyapunov equation; weighted logarithmic matrix norm; location of eigenvalues; bounds of the matrix exponential;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix. Based on the relations between the real parts of the eigenvalues and the weighted logarithmic matrix norms, we derive both lower and upper bounds of the matrix exponential, which complement and improve the existing results in the literature. Some numerical examples are also given.
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页码：865 / 878
页数：14
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