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Condition Numbers of the Generalized Sylvester Equation.

Authors :
Yiqin Lin
Yimin Wei
Source :
IEEE Transactions on Automatic Control. Dec2007, Vol. 52 Issue 12, p2380-2385. 6p. 3 Charts.
Publication Year :
2007

Abstract

This note is devoted to the perturbation analysis for the generalized Sylvester equations (AX - YB, DX - YE) = (C, F), which have some important applications in control and system theory. Expressions and upper bounds for normwise, mixed, and componentwise condition numbers are presented. The results are illustrated by numerical examples. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CYBERNETICS
*OPERATIONS research
*PERTURBATION theory
*AUTOMATION
*SYSTEMS theory
*NONLINEAR systems
*MACHINE theory
*DYNAMICS
*PROCESS control systems
*ALGORITHMS

Details

Language :
English
ISSN :
00189286
Volume :
52
Issue :
12
Database :
Academic Search Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
28110220
Full Text :
https://doi.org/10.1109/TAC.2007.910727
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