For nonlinear eigenvalue problems T(λ)x = 0 satisfying a minmax characterization of its eigenvalues iterative projection methods combined with safeguarded iteration are suitable for computing all eigenvalues in a given interval. Such methods hit their limitations if a large number of eigenvalues is required. In this paper we discuss restart procedures which are able to cope with this problem, and we evaluate them for a rational eigenvalue problem governing vibrations of a fluid‐solid structure.
Betcke, M. M., & Voss, H. (2008). Restarting projection methods for rational eigenproblems arising in fluid‐solid vibrations. Mathematical Modelling and Analysis, 13(2), 171-182. https://doi.org/10.3846/1392-6292.2008.13.171-182
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