| 相容次序矩阵PSD迭代法的收敛性 |
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| 引用本文： | 陈军刚,林喜梅. 相容次序矩阵PSD迭代法的收敛性[J]. 应用数学与计算数学学报, 2007, 21(1): 34-40 |
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| 作者姓名： | 陈军刚 林喜梅 |
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| 作者单位： | 1. 宁波大学科技学院,宁波,315211
2. 陕西师范大学数学与信息科学学院,西安,710062 |
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| 摘 要： | 本文是在求解大型线性方程组Ax=b的系数矩阵A为(1,1)相容次序矩阵且其Jacobi迭代矩阵的特征值均为纯虚数或零的条件下,得到PSD迭代法收敛的充分必要性定理,并在特殊情况下得到了相应的最优参数.
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| 关 键 词： | 收敛性 充分必要性 |
| 修稿时间： | 2005-09-15 |
The Convergence of the PSD Method for Consistently Ordered Matrix |
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| Chen Jungan,Lin Ximei. The Convergence of the PSD Method for Consistently Ordered Matrix[J]. Communication on Applied Mathematics and Computation, 2007, 21(1): 34-40 |
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| Authors: | Chen Jungan Lin Ximei |
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| Abstract: | In this paper,a sufficient and necessary condition for convergence of the method is achieved,when the coefficient matrix is consistently ordered with nonvanishing diagonal elements and the eigenvalues of the matrix of are pure imaginary or zero.The optimal parameters are obtained under the special conditions. |
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| Keywords: | PSD |
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