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Estimation of higher-order eigenvalues from residual of power iteration

Nakase, Masahiko*; Chiba, Go; Saito, Masaki*

Higher-order eigenvalues can be useful indices for reactor core stability. Usually, higher-order eiganvalues are calculated with the subtraction method in which several numerical techniques are necessary. In this present study, we develop a simple method to estimate higher-order eigenvalues from a residual of power iteration. Through numerical calculations with the IAEA benchmark problem, the present method estimates higher-order eigenvalues up to the 5th order quite well.

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