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Two-step Lanczos algorithm for model order reduction
Ist Teil von
IEEE transactions on magnetics, 2002-03, Vol.38 (2), p.673-676
Ort / Verlag
New York, NY: IEEE
Erscheinungsjahr
2002
Quelle
IEEE/IET Electronic Library (IEL)
Beschreibungen/Notizen
The Pade-Via-Lanczos (PVL) algorithm proved to be a reliable technique for obtaining reduced-order models of electromagnetic devices. Its computational complexity is, however, quite large, since it involves inversion or factorization of a matrix which can be, for complex devices, on the order of hundreds of thousands. The present paper proposes a two-step approach based entirely on the Lanczos algorithm, meant to drastically reduce the computational complexity. In the first step, a Lanczos-based projection technique is used to reduce the un-inverted matrix to a manageable size, which can be dealt with by the PVL method in the second step. The computing time was thus reduced by a factor of ten, as compared to the classical PVL.