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On the strong stability of symplectic matrices
Author(s) -
Dosso M.,
Sadkane M.
Publication year - 2013
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.834
Subject(s) - symplectic geometry , mathematics , stability (learning theory) , viewpoints , matrix (chemical analysis) , numerical stability , numerical analysis , pure mathematics , algebra over a field , mathematical analysis , computer science , materials science , composite material , machine learning , art , visual arts
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.