摘要
主要讨论系数矩阵为非对称正定的Toeplitz的迭代求解,运用以系数矩阵的一个对称、反对称分裂为基础的SSS迭代方法。特别地分裂是一个中心对称分裂,可以利用中心对称矩阵的可约性来减少计算量和存储量。再通过几个数值例子验证了此方法的有效性。
In this paper,we investigated a new iterative method for the linear system with a non--symmetric positive definite Toeplitz matrix,which is called the SSS iterative method. The SSS iterative method is based on a symmetric and skew--symmetric matrix splitting of A,in particular, the splitting is a centrosymmetric splitting,so we can reduce the computation and store cost of the SSS iterative method by the centrosymmetric property. Finally we test the effectiveness of the SSS iterative method by several numerical examples.
出处
《丽水学院学报》
2008年第2期25-28,共4页
Journal of Lishui University
基金
浙江省自然科学基金资助项目(Y605144)
