Convergence and round-off errors in a two-dimensional eigenvalue problem using spectral methods and Arnoldi–Chebyshev algorithm

Author:

Valdettaro Lorenzo,Rieutord Michel,Braconnier Thierry,Frayssé Valérie

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference18 articles.

1. Round-off error analysis of the fast cosine transform and its application to the Chebyshev pseudospectral method;Arioli;East–West J. Numer. Math.,1995

2. Solving large-scale nonnormal eigenproblems in the aeronautical industry using parallel BLAS;Bennani,1994

3. Spectral methods in general relativistic astrophysics;Bonazzola;J. Comput. Appl. Math.,1999

4. T. Braconnier, The Arnoldi–Chebyshev algorithm for solving large complex non Hermitian generalized eigenproblems, Technical Report TR/PA/94/08, CERFACS, 1994.

5. T. Braconnier, Influence of orthogonality on the backward error and the stopping criterion for Krylov methods, Numerical Analysis Report 281, Department of Mathematics, University of Manchester, 1995.

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