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A frequency condensation method for the eigenvalue problem

✍ Scribed by Mokeyev, Vladimir V.

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 116 KB
Volume: 14
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199801)14:1<1::aid-cnm123>3.0.co;2-8

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✦ Synopsis

A frequency condensation method is presented for solving the eigenvalue problem of a large matrix system. The eigenproblem is reduced to a smaller problem by condensing the stiness and mass matrices. As distinct from the Guyan method, the frequency condensation method is based on approximation preserving eigenvalues in a preset frequency range and eective procedure of master and slave selection. A numerical example and comparison with subspace iteration and Lanczos methods demonstrate good accuracy and the high performance of this method.

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