| 一类与工程设计相关的Jacobi矩阵逆特征值问题 |
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| 引用本文： | 贺文阳. 一类与工程设计相关的Jacobi矩阵逆特征值问题[J]. 企业技术开发, 2007, 26(6): 52-54 |
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| 作者姓名： | 贺文阳 |
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| 作者单位： | 湖南工程学院数理系,湖南湘潭411104 |
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| 摘 要： | Jacobi矩阵逆特征值问题,在振动工程、结构设计、工程设计应用和系数参数识别等领域有重要应用,文章考虑了由混合型特征对构造一个Jacobi矩阵的问题,给出了问题有唯一解的充分必要条件。
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| 关 键 词： | Jacobi矩阵 特征值 特征向量 逆特征值问题 |
| 文章编号： | 1006-8937（2007）06-0052-03 |
| 修稿时间： | 2007-03-28 |
A kind of jacobi matrices inverse eigenvalue problems on engineering design |
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| HE Wen-yang. A kind of jacobi matrices inverse eigenvalue problems on engineering design[J]. Technological Development of Enterprise, 2007, 26(6): 52-54 |
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| Authors: | HE Wen-yang |
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| Affiliation: | Dept. of Math. and Phy., Hunan Institute of Engineering, Xiangtan, Hunan 411104, China |
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| Abstract: | Jacobi matrix inverse eigenvalue problems have great applications in structural design, system identification, engineering design and vibration project. In this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixedtype eigenpairs is considered. The necessary and sufficient conditions for the existence and uniqueness of the unique solution are derived. |
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| Keywords: | Jacobi matrices eigenvlaue eigenvector inverse eigenvalue problem |
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