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Harmonic projection methods for large non-symmetric eigenvalue problems

✍ Scribed by Ronald B. Morgan; Min Zeng

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
210 KB
Volume
5
Category
Article
ISSN
1070-5325

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✦ Synopsis

The problem of finding interior eigenvalues of a large nonsymmetric matrix is examined. A procedure for extracting approximate eigenpairs from a subspace is discussed. It is related to the Rayleigh-Ritz procedure, but is designed for finding interior eigenvalues. Harmonic Ritz values and other approximate eigenvalues are generated. This procedure can be applied to the Arnoldi method, to preconditioning methods, and to other methods for nonsymmetric eigenvalue problems that use the Rayleigh-Ritz procedure. The subject of estimating the boundary of the entire spectrum is briefly discussed, and the importance of preconditioning for interior eigenvalue problems is mentioned.

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