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Keywords:

  • symplectic matrix;
  • strong stability;
  • spectral projector

SUMMARY

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.