An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem

Authors
Benner, P Fassbender, H
Citation
P. Benner et H. Fassbender, An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem, SIAM J MATR, 22(3), 2000, pp. 682-713
Citations number
43
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
ISSN journal
08954798 → ACNP
Volume
22
Issue
3
Year of publication
2000
Pages
682 - 713
Database
ISI
SICI code
0895-4798(20001023)22:3<682:AIRSLM>2.0.ZU;2-E
Abstract
An implicitly restarted symplectic Lanczos method for the symplectic eigenv alue problem is presented. The Lanczos vectors are constructed to form a sy mplectic basis. The inherent numerical difficulties of the symplectic Lancz os method are addressed by inexpensive implicit restarts. The method is use d to compute some eigenvalues and eigenvectors of large and sparse symplect ic operators.