| 线性方程组的异步松弛迭代法* |
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| 引用本文： | 谷同祥.线性方程组的异步松弛迭代法*[J].应用数学和力学,1997,18(8):747-751. |
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| 作者姓名： | 谷同祥 |
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| 作者单位： | 河南师范大学数学系, 河南新乡 453002 |
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| 基金项目： | 国家自然科学基金，河南省教委自然科学基础研究资助 |
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| 摘 要： | 本文考虑解线性方程组经典迭代法的异步形式,对系数矩阵为H矩阵,给出了异步迭代过程收敛性的充分条件,这不仅降低了文献3]对系数矩阵的要求,而且收敛区域比文献3]的大.
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| 关 键 词： | 异步迭代 法松驰方法 线性方程组 |
| 收稿时间： | 1995-07-06 |
Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations |
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| Gu Tongxiang.Asynchronous Relaxed Iterative Methods for Solving Linear Systems of Equations[J].Applied Mathematics and Mechanics,1997,18(8):747-751. |
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| Authors: | Gu Tongxiang |
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| Affiliation: | Department of Mathematics, Henan Normal University, Xinxiang, Henan 453002, P. R. China |
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| Abstract: | In this paper , the asynchronous versions of classical iterative methods for solving linear systems of equations are considered. Sufficient conditions for convergence of asynchronous relaxed processes are given for H-matrix by which not only the requirements of 3] on coefficient matrix are lowered, but also a larger region of convergence than that in 3] is obtained. |
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| Keywords: | asynchronous iterative method relaxed method linear systems of equations |
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