不对称问题的极小残量方法 |
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引用本文: | 程义明,王维,亢祖直. 不对称问题的极小残量方法[J]. 复旦学报(自然科学版), 2003, 42(2): 160-164 |
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作者姓名: | 程义明 王维 亢祖直 |
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作者单位: | 复旦大学,数学研究所,上海,200433 |
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基金项目: | 国家自然科学基金资助项目(10171021),博士点基金资助项目 |
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摘 要: | 讨论用极小残量法来解决不对称问题.先简单介绍用极小残量法解决对称问题的基本算法.然后把不对称问题转化为对称问题,在转化过程中,可简化中间的不必要步骤,给出了不对称问题的简单算法.最后作了数值试验,取得了满意效果.
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关 键 词: | 不对称问题 极小残量法 正交多项式 数值试验 残量多项式 范数 |
文章编号: | 0427-7104(2003)02-0160-05 |
Minimal Residual Polynomial Method on the Unsymmetric System |
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Abstract: | It mainly discusses the minimal residual polynomial method for solving the unsymmetric system. It simply introduces the minimal residual polynomial method for symmetric problem and comes up with the basic algorithm. As to the unsymmetric system, it is converted into symmetric one. Obviously, the method can be used for symmetric system to solve the unsymmetric system. Furthermore, in the converting process, it can simplify some unnecessary steps and obtain a simple algorithm to the unsymmetric system. Then some numerical experiments are made to test the results and get some satisfied results. |
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Keywords: | unsymmetric system minimal residual polynomial method orthogonal polynomial |
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