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

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.

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Peter Benner More by this author
Heike Fassbender More by this author
Martin Stoll More by this author
Publication date:
2009
URN:
uuid:557ede97-37f2-4398-b181-1ee57c8f25b5
Local pid:
oai:eprints.maths.ox.ac.uk:806

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