| 广义特征值摄动问题的逐步逼近法 |
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| 引用本文： | 刘济科 高磊. 广义特征值摄动问题的逐步逼近法[J]. 中山大学学报(自然科学版), 1997, 36(4): 11-15 |
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| 作者姓名： | 刘济科 高磊 |
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| 作者单位： | 中山大学应用力学与工程系 |
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| 基金项目： | 广东省自然科学基金,西安交通大学国家重点实验室开放研究基金 |
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| 摘 要： | 以子空间缩聚及正交分解为基础，根据实矩阵的奇异值分解定理，对广义特征值摄动问题，提出了一种能同时有效地处理孤立特征值、相重特征值及相近特征值三种不同情况的逐步逼近法．计算实例表明，该方法合理可靠、精度高
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| 关 键 词： | 摄动，特征值问题，结构振动 |
A Successive Approximation Procedure for the Generalized Eigenvalue Perturbation Problem |
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| Liu Jikehan U Gao Lei. A Successive Approximation Procedure for the Generalized Eigenvalue Perturbation Problem[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1997, 36(4): 11-15 |
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| Authors: | Liu Jikehan U Gao Lei |
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| Affiliation: | Liu Jikehan U Gao Lei |
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| Abstract: | For the generalized eigenvalue perturbation problem of real modes, an efficient method is put forward, which is applicable to all the three cases of eigenvalue problems: distinct, repeated and nearly equal eigenvalues. This method is a kind of successive approximation procedure, developed by performing an orthogonal decomposition and a sub space condensation and by using the singular value decomposition of real matrix. Some illustrative examples are presented to demonstrate the validity of this proposed technique. |
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| Keywords: | perturbation eigenvalue problem structural vibration |
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