Absil, PA and Sepulchre, R and Van Dooren, P and Mahony, R (2003) A Newton algorithm for invariant subspace computation with large basins of attraction. Proceedings of the IEEE Conference on Decision and Control, 3. pp. 2352-2357. ISSN 0191-2216Full text not available from this repository.
We study the global behaviour of a Newton algorithm on the Grassmann manifold for invariant subspace computation. It is shown that the basins of attraction of the invariant subspaces may collapse in case of small eigenvalue gaps. A Levenberg-Marquardt-like modification of the algorithm with low numerical cost is proposed. A simple strategy for choosing the parameter is shown to dramatically enlarge the basins of attraction of the invariant subspaces while preserving the fast local convergence.
|Divisions:||Div F > Control|
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|Date Deposited:||02 Sep 2016 17:24|
|Last Modified:||29 Sep 2016 05:45|