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Iterative solution of the random eigenvalue problem with application to spectral stochastic finite element systems. (English) Zbl 1127.76054
Summary: We propose a new algorithm for computation of the spectral expansion of eigenvalues and eigenvectors of a random non-symmetric matrix. The algorithm extends the deterministic inverse power method using a spectral discretization approach. The convergence and accuracy of the algorithm is studied for both symmetric and non-symmetric matrices. The method turns out to be efficient and robust compared to existing methods for the computation of the spectral expansion of random eigenvalues and eigenvectors.

76M35Stochastic analysis (fluid mechanics)
76M10Finite element methods (fluid mechanics)
74S05Finite element methods in solid mechanics
65F15Eigenvalues, eigenvectors (numerical linear algebra)
65C20Models (numerical methods)
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