Flexible GPBi-CG Method for Nonsymmetric Linear Systems ()
Abstract
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.
Share and Cite:
Wang, J. and Gu, T. (2012) Flexible GPBi-CG Method for Nonsymmetric Linear Systems.
Applied Mathematics,
3, 331-335. doi:
10.4236/am.2012.34050.
Conflicts of Interest
The authors declare no conflicts of interest.
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