A new algorithm for the computation of the spectral expansion of the eigenvalues and eigenvectors of a random non-symmetric matrix is proposed. 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.
|Number of pages||24|
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 2006|
Verhoosel, C. V., Gutiérrez, M. A., & Hulshoff, S. J. (2006). Iterative solution of the random eigenvalue problem with application to spectral stochastic finite element systems. International Journal for Numerical Methods in Engineering, 68(4), 401-424. https://doi.org/10.1002/nme.1712