| Schwarz交替方向法的代数处理 |
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| 引用本文： | 黄建国.Schwarz交替方向法的代数处理[J].数学研究及应用,1997,17(2):159-164. |
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| 作者姓名： | 黄建国 |
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| 作者单位： | 上海交大应用数学系 |
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| 摘 要： | 本文利用代数方法获得二子区域情形带松驰因子的加法型Ｓｃｈｗａｒｚ交替方向法的最优松驰因子，结果表明代数平均是最优的．接着通过反例说明该结果不可推广至多子区域情形．最后，本文将该代数技巧用于证明一些现有的重要结果,和原有证明相比，现证简单、直观
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| 关 键 词： | 史瓦慈交替方向 代数处理 松驰因子 |
| 收稿时间： | 6/6/1994 12:00:00 AM |
An Algebraic Approach to the Schwarz Alternating Methods |
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| Huang Jianguo.An Algebraic Approach to the Schwarz Alternating Methods[J].Journal of Mathematical Research with Applications,1997,17(2):159-164. |
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| Authors: | Huang Jianguo |
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| Institution: | Dept. of Appl. Math.; Shanghai Jiao Tong University; 200240 |
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| Abstract: | In this paper, the choice of the optimal parameters for a relaxation additive Schwarz alternating method in two subregions case is obtained by an algebraic method, which shows that the arithmetic average is the best. A counterexample illustrates that the same result is not true for many subregions case. In the last, this technique is applied to demonstrate some well known results simply and intuitively. |
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| Keywords: | Schwarz alternating method space decomposition convergence rate |
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