@Article{JCM-25-522, author = {G.-D. Gu, X.-L. Zhou and Lei Lin}, title = {A Flexible Preconditioned Arnoldi Method for Shifted Linear Systems}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8710.html} }