Perturbation Theory for Approximation of Lyapunov Exponents by QR Methods

被引：0
|
作者：
Luca Dieci
Erik S. Van Vleck
机构：
[1] Georgia Institute of Technology,School of Mathematics
[2] University of Kansas,Department of Mathematics
来源：
Journal of Dynamics and Differential Equations | 2006年 / 18卷
关键词：
Lyapunov exponents; integral separation; methods; 65L;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Motivated by a recently developed backward error analysis for QR methods, we consider the error in the Lyapunov exponents of perturbed triangular systems. We consider the case of stable and distinct Lyapunov exponents as well as the case of stable but not necessarily distinct exponents. We illustrate our analytical results with a numerical example.
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页码：815 / 840
页数：25
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