论文标题
不对称鞍点问题的移动拆分预处理
A shift-splitting preconditioner for asymmetric saddle point problems
论文作者
论文摘要
在本文中，我们在其（1,2）块的换位与其（2,1）块的（2,1）块的删除负数下执行了不对称鞍点问题的移位预处理。所提出的预处理是源于用于求解不对称鞍点问题的移位分裂（SS）迭代方法，该方法在适当的条件下是收敛的。也获得了放松的拆分预处理的放松版本。给出了相关预处理矩阵的光谱分布。提供了来自Stokes问题的数值实验，以显示这两个预处理的收敛性能。
In this paper, we execute the shift-splitting preconditioner for asymmetric saddle point problems with its (1,2) block's transposition unequal to its (2,1) block under the removed minus of its (2,1) block. The proposed preconditioner is stemmed from the shift splitting (SS) iteration method for solving asymmetric saddle point problems, which is convergent under suitable conditions. The relaxed version of the shift-splitting preconditioner is obtained as well. The spectral distributions of the related preconditioned matrices are given. Numerical experiments from the Stokes problem are offered to show the convergence performance of these two preconditioners.
