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