| 由谱数据和主子矩阵构造Jacobi矩阵及其推广 |
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| 引用本文： | 魏莹,戴华.由谱数据和主子矩阵构造Jacobi矩阵及其推广[J].数学物理学报(A辑),2012,32(2):356-363. |
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| 作者姓名： | 魏莹 戴华 |
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| 作者单位： | 南京航空航天大学理学院 南京 |210016 |
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| 基金项目： | 国家自然科学基金(11071118)资助 |
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| 摘 要： | 研究由主子矩阵和谱数据构造Jacobi矩阵问题, 推广到弹簧质点系统谱约束下的双倍维扩展问题和对称三对角二次束逆特征值问题.给出了问题的数值解法.
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| 关 键 词： | 反问题 Jacobi矩阵 二次特征值 弹簧质点系统 主子矩阵 |
| 收稿时间： | 2008-10-27 |
| 修稿时间： | 2011-09-15 |
Construction of Jacobi Matrix from its Submatrix and Spectrum and |its Expansion |
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| WEI Ying,DAI Hua.Construction of Jacobi Matrix from its Submatrix and Spectrum and |its Expansion[J].Acta Mathematica Scientia,2012,32(2):356-363. |
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| Authors: | WEI Ying DAI Hua |
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| Institution: | College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
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| Abstract: | This paper considers the following problem: how to construct a Jacobi matrix from its spectrum and a submatrix. The numerical algorithms are given. Then we expand the result to the method of expanding a spring mass system to double dimension and the inverse problem of constructing a tridiagonal quadratic pencil. |
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| Keywords: | Inverse problemzz Jacobi matrixzz Quadratic pencilzz Spring mass systemzz Submatrixzz |
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