Benner, Peter and Fassbender, Heike and Stoll, Martin (2009) A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Not specified . (Submitted)
We discuss a Krylov-Schur like restarting technique applied within the symplectic Lanczos algorithm for the Hamiltonian eigenvalue problem. This allows to easily implement a purging and locking strategy in order to improve the convergence properties of the symplectic Lanczos algorithm. The Krylov-Schur-like restarting is based on the SR algorithm. Some ingredients of the latter need to be adapted to the structure of the symplectic Lanczos recursion. We demonstrate the efficiency of the new method for several Hamiltonian eigenproblems.
|Subjects:||H - N > Numerical analysis|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Dr M. Stoll|
|Deposited On:||16 Oct 2009 07:37|
|Last Modified:||16 Oct 2009 07:37|
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