Logarithmic norms for matrix pencils

被引：42

作者：

Higueras, I ^{[1
]}

García-Celayeta, B ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Matemat & Informat, Pamplona 31006, Spain

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1999年 / 20卷 / 03期

关键词：

matrix pencil; logarithmic norm; Lyapunov stability; differential algebraic system;

D O I：

10.1137/S0895479897325955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the usual concepts of least upper bound norm and logarithmic norm of a matrix to matrix pencils. Properties of these seminorms and logarithmic norms are derived. This logarithmic norm can be used to study the growth of the solutions of linear variable coefficient differential algebraic systems.

引用

页码：646 / 666

页数：21

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