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- W2798496734 abstract "Abstract We propose a robust numerical algorithm for solving the nonlinear eigenvalue problem A ( ƛ ) x = 0 . Our algorithm is based on the idea of finding the value of ƛ for which A ( ƛ ) is singular by computing the smallest eigenvalue or singular value of A ( ƛ ) viewed as a constant matrix. To further enhance computational efficiency, we introduce and use the concept of signed singular value. Our method is applicable when A ( ƛ ) is large and nonsymmetric and has strong nonlinearity. Numerical experiments on a nonlinear eigenvalue problem arising in the computation of scaling exponent in turbulent flow show robustness and effectiveness of our method." @default.
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- W2798496734 date "2017-11-01" @default.
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- W2798496734 title "Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values" @default.
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- W2798496734 doi "https://doi.org/10.4208/eajam.181016.300517c" @default.
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