A FLEXIBLE PRECONDITIONED ARNOLDI METHOD FOR SHIFTED LINEAR SYSTEMS'

• 来源期刊: 计算数学（英文版）
• 关键词: Shifted linear systems,Arnoldi method Flexible preconditioning
• 年，卷（期）: 2007,（5）
• 页码范围: 522-530
• 页数: 9页
• 语种: 英文

摘要

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 α 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.