Flexible GPBi-CG Method for Nonsymmetric Linear Systems

• 作者: Jia-Min Wang Tong-Xiang Gu
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Krylov SUBSPACE METHOD FLEXIBLE PRECONDITIONING Inner-Outer ITERATION GPBi-CG
• 年，卷（期）: 2012,（4）
• 页码范围: 331-335
• 页数: 5页
• 分类号: O1

摘要

We present a flexible version of GPBi-CG algorithm which allows for the use of a different preconditioner at each step of the algorithm. In particular, a result of the flexibility of the variable preconditioner is to use any iterative method. For example, the standard GPBi-CG algorithm itself can be used as a preconditioner, as can other Krylov subspace methods or splitting methods. Numerical experiments are conducted for flexible GPBi-CG for a few matrices including some nonsymmetric matrices. These experiments illustrate the convergence and robustness of the flexible iterative method.