| 关于PSD迭代法收敛的充分必要性定理 |
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| 引用本文： | 陈恒新. 关于PSD迭代法收敛的充分必要性定理[J]. 应用数学与计算数学学报, 1999, 13(1): 11-20 |
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| 作者姓名： | 陈恒新 |
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| 作者单位： | 华侨大学数学系 泉州，362011 |
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| 摘 要： | 本文在线性方程组系数矩阵A为相容次序矩阵及A的Jacobi迭代矩阵的特征值μ_j均为实数且μ_j~2<1的条件下,得出了PSD迭代法收敛的充分必要性定理,并由此而得到了一个易于判别的PSD法收敛性定理。
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| 关 键 词： | PSD法 收敛 充分必要性 |
The Necessary and Sufficient Theorem for the Convergence of PSD Iterative Method |
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| HENGXIN CHEN. The Necessary and Sufficient Theorem for the Convergence of PSD Iterative Method[J]. Communication on Applied Mathematics and Computation, 1999, 13(1): 11-20 |
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| Authors: | HENGXIN CHEN |
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| Abstract: | In this paper, the necessary and sufficient theorem for the convergence of PSD iterative method is given under the condition that the coefficient matrix A of the linear systems is consistently ordered and the eigenvalues of the converged Jacobi iterative matrix of A are all real. |
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| Keywords: | PSD method. convergence necessity and sufficiency. |
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