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A comparison of factorization-free eigensolvers with application to cavity resonators

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2002) 2331 LNCS(PART 3) 295-304
DOI: 10.1007/3-540-47789-6_31
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Abstract

We investigate eigensolvers for the generalized eigenvalue problem Ax = λMx 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. © Springer-Verlag 2002.

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Arbenz, P. (2002). A comparison of factorization-free eigensolvers with application to cavity resonators. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2331 LNCS, pp. 295–304). Springer Verlag. https://doi.org/10.1007/3-540-47789-6_31

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