| 黄建国.Schwarz交替方向法的代数处理(英文)[J].数学研究及应用,1997,17(2):159~164 |
| Schwarz交替方向法的代数处理(英文) |
| An Algebraic Approach to the Schwarz Alternating Methods |
| 投稿时间：1994-06-06 |
| DOI：10.3770/j.issn:1000-341X.1997.02.001 |
| 中文关键词: |
| 英文关键词:Schwarz alternating method space decomposition convergence rate. |
| 基金项目: |
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| 摘要点击次数: 1914 |
| 全文下载次数: 934 |
| 中文摘要: |
| 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 |
| 英文摘要: |
| 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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