Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
425755 | Future Generation Computer Systems | 2006 | 9 Pages |
Abstract
Given a Hamiltonian matrix H=JSH=JS with S symmetric and positive definite, we analyze a symplectic Lanczos algorithm to transform −H2−H2 in a symmetric and positive definite tridiagonal matrix of half size. By means of two effective restarted procedures, this algorithm is then used to compute few extreme eigenvalues of H. Numerical examples are also reported to compare the presented techniques.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Pierluigi Amodio,