A Comparison of Factorization-Free Eigensolvers with Application to Cavity Resonators

Authors:
Peter Arbenz
Affiliations:
-
Venue:
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Year:
2002

Citing 5
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Abstract

We investigate eigensolvers for the generalized eigenvalue problem Ax = 驴Mx with symmetric A and symmetric positive definite M that do not require matrix factorizations. We compare various variants of Rayleigh quotient minimization and the Jacobi-Davidson algorithm by means large-scale finite element problems originating from the design of resonant cavities of particle accelerators.