TY - JOUR
T1 - A Flexible Preconditioned Arnoldi Method for Shifted Linear Systems
AU - G.-D. Gu, X.-L. Zhou & Lei Lin
JO - Journal of Computational Mathematics
VL - 5
SP - 522
EP - 530
PY - 2007
DA - 2007/10
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8710.html
KW - Shifted linear systems, Arnoldi method, Flexible preconditioning.
AB - <p style="text-align: justify;">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&#39;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.</p>