We are interested in the numerical solution of the large nonsymmetric shifted linear system, (A + αI)x -= b, for many different values of the shift a in a wide range. We apply the Saad's flexible preconditioning ...We are interested in the numerical solution of the large nonsymmetric shifted linear system, (A + αI)x -= b, for many different values of the shift a in a wide range. We apply the Saad's flexible preconditioning technique 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.展开更多
基金Research supported by the National Natural Science Foundation of China (10271075).
文摘We are interested in the numerical solution of the large nonsymmetric shifted linear system, (A + αI)x -= b, for many different values of the shift a in a wide range. We apply the Saad's flexible preconditioning technique 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.