A new restarting method in the harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix

DOI10.1016/j.amc.2007.08.069zbMath1137.65018OpenAlexW2082543059MaRDI QIDQ2425970

H. Saberi Najafi, Hossein Moosaei

Publication date: 17 April 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.069

zbMATH Keywords

algorithmconvergenceeigenvaluenumerical exampleseigenvectorsArnoldi methodlarge matricesnonsymmetric matrixinterior eigenpairsharmonic projection method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (1)

Generalisation of a quadrilateral duality theorem

Cites Work

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• A new restarting method in the Lanczos algorithm for generalized eigenvalue problem
• A new restarting method in the Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix
• A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigen\-problems
• Weighted restarting method in the weighted Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix
• Harmonic projection methods for large non-symmetric eigenvalue problems

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