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对称正定矩阵多级分裂预处理子
Multistage Splitting Preconditioners for Symmetric Positive Definite Linear Systems
【摘要】 本文基于对称正定矩阵的多级分裂,讨论了这类方程组的多级分裂预处理子的构造,证明了预处理子的合理性.数值试验显示我们的预处理子是有效的.
【Abstract】 A new preconditioner for symmetric positive definite linear systems is constructed based on the multistage splitting of the coefficient matrix.The validity of the new preconditioner is showed and a numerical example is given to illustrate it.Numerical experimentations show that our preconditioners are effective.
【关键词】 预处理子;
多级分裂;
对称正定;
共轭梯度法;
【Key words】 Preconditioner Multistage Splitting Symmetric Positive Definite Conjugate Gradient Method;
【Key words】 Preconditioner Multistage Splitting Symmetric Positive Definite Conjugate Gradient Method;
- 【文献出处】 数学理论与应用 ,Mathematical Theory and Applications , 编辑部邮箱 ,2013年01期
- 【分类号】O241.6
- 【下载频次】88