| 逆特征问题的某些有趣性质 |
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| 引用本文： | 廖安平.逆特征问题的某些有趣性质[J].湖南师范大学自然科学学报,1999,22(1):6-8. |
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| 作者姓名： | 廖安平 |
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| 作者单位： | 湖南师范大学计算机科学系 |
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| 摘 要： | 证明了下面两种有趣性质（１）如果三对角对称正定阵的逆特征问题有唯一解，则三对角对称阵的逆特征问题有唯一解；（２）如果Ｊａｃｏｂｉａｎ矩阵的逆特征问题有唯一 ，则三对角对称阵的逆特征问题有唯一解。
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| 关 键 词： | 逆特征问题 正定阵 三对角对称阵 对称阵 |
Some Interesting Properties on the Inverse Eigenproblem |
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| Liao Anping.Some Interesting Properties on the Inverse Eigenproblem[J].Journal of Natural Science of Hunan Normal University,1999,22(1):6-8. |
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| Authors: | Liao Anping |
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| Abstract: | The following two interesting properties are proved:(1)If the inverse eigenproblem for tridiagonal symmetric positive definite matrices has a unique solution,then the inverse eigenproblem for tridiagonal symmetric matrices has a unique solution;(2)If the inverse eigenproblem for Jacobian matrices has a unique solution,then inverse eigenproblem for tridiagonal symmetric matrices has a unique solution. |
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| Keywords: | inverse eigenproblem Jacobian matrix tridiagonal symmetric positive definite matrix |
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