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On the strong stability of symplectic matrices


Correspondence to: M. Sadkane, Laboratoire de Mathématiques, Université de Brest, CNRS UMR 6205, 6, Av. Victor Le Gorgeu,29238 Brest Cedex 3, France.



The 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.