| 求解线性与非线性方程组的单调异步迭代并行算法 |
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| 引用本文： | 梁吉业.求解线性与非线性方程组的单调异步迭代并行算法[J].计算机工程与设计,1996,17(1):54-58. |
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| 作者姓名： | 梁吉业 |
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| 作者单位： | 山西大学计算机科学系 |
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| 摘 要： | 针对偏序情形，构造一类适用于多处理机系统的求解线性与非线性方程组的异步迭代并行算法，并对其单调收敛性条件进行了严格的理论分析。此外，还用数值试验证实了这些结果。
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| 关 键 词： | 线性方程组 非线性方程组 并行算法 解 |
The Monotone Asynchronous Iterative Parallel Algorithm for Solving Linear and Nonlinear Equations |
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| Liang Jiye.The Monotone Asynchronous Iterative Parallel Algorithm for Solving Linear and Nonlinear Equations[J].Computer Engineering and Design,1996,17(1):54-58. |
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| Authors: | Liang Jiye |
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| Abstract: | In this paper, the monotone asynchronous iterative parallel algorithm for solving linear and nonlinear equations under the partial ordering is given which can be implemented on a multiprocessor system, and its monotone convergent condition is analysed strictly. An example is given to illustrate the algorithm and its monotone convergence. |
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| Keywords: | inear equations Nonlinear equations Asynchronous iterative parallel algorithm Monotone convergence |
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