On the strong stability of symplectic matrices

On the strong stability of symplectic matrices

SUMMARYThe strong stability of a symplectic matrix is investigated from algorithmic and numerical viewpoints using a theory developed by S.K. Godunov. This theory is based on a different formulation of the Krein‐Gelfand‐Lidskii characterization of strong stability, better suited for numerical calcul...

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Veröffentlicht in:Numerical linear algebra with applications 2013-03, Vol.20 (2), p.234-249
Hauptverfasser: Dosso, M., Sadkane, M.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Linear algebra
Mathematical analysis
Mathematical models
spectral projector
Stability
strong stability
symplectic matrix
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Zusammenfassung:SUMMARYThe strong stability of a symplectic matrix is investigated from algorithmic and numerical viewpoints using a theory developed by S.K. Godunov. This theory is based on a different formulation of the Krein‐Gelfand‐Lidskii characterization of strong stability, better suited for numerical calculations. Copyright © 2011 John Wiley & Sons, Ltd.
ISSN:1070-5325
1099-1506
DOI:10.1002/nla.834