Geodesic
A subspace iteration for symplectic matrices
Electronic transactions on numerical analysis, Tome 43 (2015)
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},
     year = {2015},
     volume = {43},
     zbl = {1312.65047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__43__a0/}
}
TY  - JOUR
AU  - Malyshev,  Alexander
AU  - Sadkane,  Miloud
AU  - Salam,  Ahmed
TI  - A subspace iteration for symplectic matrices
JO  - Electronic transactions on numerical analysis
PY  - 2015
VL  - 43
UR  - http://geodesic.mathdoc.fr/item/ETNA_2015__43__a0/
LA  - en
ID  - ETNA_2015__43__a0
ER  - 
%0 Journal Article
%A Malyshev,  Alexander
%A Sadkane,  Miloud
%A Salam,  Ahmed
%T A subspace iteration for symplectic matrices
%J Electronic transactions on numerical analysis
%D 2015
%V 43
%U http://geodesic.mathdoc.fr/item/ETNA_2015__43__a0/
%G en
%F ETNA_2015__43__a0
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/