Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
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DOI：
10.1137/s0895479803434926
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发表时间：
2005-02
期刊：
影响因子：
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通讯作者：
V. Simoncini;M. Benzi
中科院分区：
文献类型：
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作者：
V. Simoncini;M. Benzi
在本文中，我们推导出的特征值的预处理矩阵，出现在鞍点问题的解决方案时，厄米特和斜厄米特分裂预处理器。我们还给出了特征值为真实的的充分条件。一些数值实验被用来说明边界的质量。
In this paper we derive bounds on the eigenvalues of the preconditioned matrix that arises in the solution of saddle point problems when the Hermitian and skew-Hermitian splitting preconditioner is employed. We also give sufficient conditions for the eigenvalues to be real. A few numerical experiments are used to illustrate the quality of the bounds.