Bounds of the matrix eigenvalues and its exponential by Lyapunov equation

Title:

Bounds of the matrix eigenvalues and its exponential by Lyapunov equation

Creator:

Hu, Guang-Da and Mitsui, Taketomo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:dc509e41-e61c-4b07-bf67-1336aeeaf3fa
uuid:dc509e41-e61c-4b07-bf67-1336aeeaf3fa

Subject:

Lyapunov equation, weighted logaritmic matrix norm, location of eigenvalues, and bounds of the matrix exponential

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[865]-878

Source:

Kybernetika | 2012 Volume:48 | Number:5

Harvested from:

CDK

Metadata only:

false