DISCRETE LYAPUNOV EQUATION - SIMULTANEOUS EIGENVALUE LOWER BOUNDS

被引：16

作者：

HMAMED, A

机构：

[1] L.E.S.S.I., Département de Physique, Fes-Atlas

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1991年 / 22卷 / 06期

关键词：

D O I：

10.1080/00207729108910685

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Some lower bounds for the eigenvalues and certain sums and products of the eigenvalues of the solution of the discrete Lyapunov matrix equation are presented. These bounds are stronger than the majority of the relevant bounds shown in the literature. They complete some known bounds such as the extremal eigenvalues, the determinant and the trace of the solution of the above equation.

引用

页码：1121 / 1126

页数：6

共 18 条

[1] EXTREME PROPERTIES OF EIGENVALUES OF A HERMITIAN TRANSFORMATION AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR TRANSFORMATIONS [J].