On the strong stability of symplectic matrices | Zendy

Dosso M. | Zendy; Sadkane M. | Zendy

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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.

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