A Hamiltonian Krylov―Schur-type method based on the symplectic Lanczos process
A Hamiltonian Krylov―Schur-type method based on the symplectic Lanczos process
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DOI：
10.1016/j.laa.2010.04.048
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发表时间：
2011-08
影响因子：
1.1
通讯作者：
P. Benner;H. Faßbender;M. Stoll
中科院分区：
文献类型：
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作者：
P. Benner;H. Faßbender;M. Stoll
我们讨论了一个Krylov-Schur像重新启动技术内辛Lanczos算法的哈密顿特征值问题。这使我们能够很容易地实现清除和锁定策略，以提高辛Lanczos算法的收敛性能。Krylov-Schur类重启是基于SR算法的。后者的一些成分需要适应辛Lanczos递归的结构。我们证明了几个哈密顿本征值问题的新方法的效率。
We discuss a Krylov–Schur like restarting technique applied within the symplectic Lanczos algorithm for the Hamiltonian eigenvalue problem. This allows us 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.