| PSD迭代法收敛的一个充分条件 |
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| 引用本文： | 柳卫东.PSD迭代法收敛的一个充分条件[J].纺织高校基础科学学报,2007,20(3):286-288. |
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| 作者姓名： | 柳卫东 |
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| 作者单位： | 武警工程学院,基础部,陕西,西安,710086 |
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| 摘 要： | 讨论了线性方程Ax=b的PSD迭代求解问题.在系数矩阵A为相客次序矩阵且A的Jacobi迭代矩阵的特征值μ_j=β_ji,β_j∈R且0<|β_j|<1的条件下得到PSD收敛的一个充分条件,并给出数值例子.
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| 关 键 词： | PSD法 收敛 充分性 |
| 文章编号： | 1006-8341（2007）03-0286-03 |
| 收稿时间： | 2006-12-01 |
A sufficient condition for the convergence of a PSD iterative method |
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| LIU Wei-dong.A sufficient condition for the convergence of a PSD iterative method[J].Basic Sciences Journal of Textile Universities,2007,20(3):286-288. |
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| Authors: | LIU Wei-dong |
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| Abstract: | The PSD iterafive for solving linear systems of the form Ax=b is discussed.A sufficient condition for the convergence of a PSD iterative method is given under the condition of the coefficient matrix A is order and the eigenvalues of the Jacobi matrix of A are all pure imaginary.In addition ,an example is given for illustrating the results. |
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| Keywords: | PSD method convergence sufficiency |
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