| 斜对称双对角矩阵特征值反问题 |
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| 引用本文： | 林鹭,魏明磊.斜对称双对角矩阵特征值反问题[J].数学研究,2008,41(2):151-155. |
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| 作者姓名： | 林鹭 魏明磊 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 基金项目： | 国家自然科学基金
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福建省自然科学基金 |
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| 摘 要： | 讨论了关于斜对称双对角矩阵的特征值反问题．即：已知一个n阶斜对称双对角矩阵的特征值和两个n-1阶子矩阵的部分特征值，则可求得该矩阵．最后给出了数值例子．
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| 关 键 词： | 斜对称双对角矩阵 特征值 特征值反问题 |
An Inverse Eigenvalue Problem for Symmetric Anti-bidiagonal Matrix |
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| Lin Lu,Wei Minglei.An Inverse Eigenvalue Problem for Symmetric Anti-bidiagonal Matrix[J].Journal of Mathematical Study,2008,41(2):151-155. |
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| Authors: | Lin Lu Wei Minglei |
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| Institution: | Lin Lu Wei Minglei ( School of Mathematical Sciences, Xiamen University, Xianmn 361005) |
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| Abstract: | In this paper, an inverse eigenvalue problem for symmetric anti-bidiagonal matrix is discussed. It shows that an n degree symmetric anti-bidiagonal matrix can be determined if an eigenvalue of the symmetric anti-bidiagonal matrix and the eigenvalues of two n 1 degree submatrices are known. Numerical examples are also provided. |
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| Keywords: | anti-bidiagonal symmetric matrix eigenvalue inverse eigenvalue problem |
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