On the strong stability of symplectic matrices

DOI10.1002/nla.834zbMath1289.15054OpenAlexW2124551900MaRDI QIDQ5397315

M. Dosso, M. Sadkane

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.834

zbMATH Keywords

algorithmstabilityeigenvaluesquadratic formspectral projectionstrong stabilitysymplectic matrixnonsingular skewsymmetric real matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

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Cites Work

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• A spectral trichotomy method for symplectic matrices
• Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob
• Some new algorithms for the spectral dichotomy methods
• Verification of boundedness for the powers of symplectic matrices with the help of averaging
• On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms
• Structured tools for structured matrices
• Spectral Analysis of Symplectic Matrices with Application to the Theory of Parametric Resonance

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