The Mathematical Institute, University of Oxford, Eprints Archive

A Hamiltonian Krylov-Schur-type method based on the
symplectic Lanczos process

Benner, Peter and Fassbender, Heike and Stoll, Martin (2009) A Hamiltonian Krylov-Schur-type method based on the
symplectic Lanczos process.
Not specified . (Submitted)

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Abstract

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.

Item Type:Article
Subjects:H - N > Numerical analysis
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:806
Deposited By:Dr M. Stoll
Deposited On:15 Sep 2009 09:41
Last Modified:15 Sep 2009 13:32

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