Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 522–530
Abstract
We are interested in the numerical solution of the large nonsymmetric shifted linear system, $(A + \alpha I) x = b$, for many different values of the shift $\alpha$ in a wide range. We apply the Saad's flexible preconditioning technique [14] to the solution of the shifted systems. Such flexible preconditioning with a few parameters could probably cover all the shifted systems with the shift in a wide range. Numerical experiments report the effectiveness of our approach on some problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8710
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 522–530
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Shifted linear systems Arnoldi method Flexible preconditioning.