Geodesic
A subspace iteration for symplectic matrices
Electronic transactions on numerical analysis, Tome 43 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the convergence behavior of an orthogonal subspace iteration for matrices whose spectrum is partitioned into three groups: the eigenvalues inside, outside, and on the unit circle. The main focus is on symplectic matrices. Numerical experiments are provided to illustrate the theory.
Classification : 15A21, 65F15
Keywords: symplectic matrix, subspace iteration, invariant subspace 
@article{ETNA_2015__43__a0,
     author = {Malyshev, Alexander and Sadkane, Miloud and Salam, Ahmed},
     title = {A subspace iteration for symplectic matrices},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {43},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__43__a0/}
}
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Malyshev, Alexander; Sadkane, Miloud; Salam, Ahmed. A subspace iteration for symplectic matrices. Electronic transactions on numerical analysis, Tome 43 (2015). http://geodesic.mathdoc.fr/item/ETNA_2015__43__a0/