| Ritz向量法与Lanczos方法的关系 |
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| 引用本文： | 郑铁生 蔡则彪. Ritz向量法与Lanczos方法的关系[J]. 应用力学学报, 1990, 7(2): 101-104 |
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| 作者姓名： | 郑铁生 蔡则彪 |
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| 作者单位： | 西安交通大学，西安交通大学 |
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| 摘 要： | 本文通过对计算结构固有振动的Ritz向量法与Lanczos方法进行分析比较后,证明了关于两者之间关系的几个定理,指出在算法上Lanczos方法要比Ritz向量法更优越。
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| 关 键 词： | 结构 振动 Lanczos法 Ritz向量法 |
RELATIONS BETWEEN RITZ VECTOR METHOD AND LANCZOS ALGORITHM |
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| Zheng Tiesheng Cai Zebiao. RELATIONS BETWEEN RITZ VECTOR METHOD AND LANCZOS ALGORITHM[J]. Chinese Journal of Applied Mechanics, 1990, 7(2): 101-104 |
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| Authors: | Zheng Tiesheng Cai Zebiao |
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| Affiliation: | Xi'an jiaotong university |
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| Abstract: | Through comparing and analysing the method of Ritz vector and Lanczos algorithm, which are used for computing natural vibration of structures, several theorems about the relations between the two methods are established in this paper. It is found, from the viewpoint of computation, the Lanczos algorithm is superior to the Ritz vector method. |
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| Keywords: | numerical Method structural vibration eigenvalue problem. |
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