| 由三个特征对构造正定Jacobi矩阵 |
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| 引用本文： | 李珍珠.由三个特征对构造正定Jacobi矩阵[J].应用数学学报,2005,28(2):333-340. |
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| 作者姓名： | 李珍珠 |
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| 作者单位： | 湖南科技学院数学与计算科学系,永州,425006 |
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| 基金项目： | 湖南省教育厅科研课题资助项目(04C514),湖南省永州市科技局科研课题资助项目. |
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| 摘 要： | 本文研究了由三个特征对构造正定Jacobi矩阵的问题,给出了这个问题有唯一解的充要条件及解的表达式,并给出了问题的数值算法.
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| 关 键 词： | Jacobi矩阵 逆特征对问题 正定矩阵 |
ON THE CONSTRUCTION OF POSITIVE DEFINITE JACOBIAN MATRIX FROM THREE EIGENPAIRS |
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| LI ZHENZHU.ON THE CONSTRUCTION OF POSITIVE DEFINITE JACOBIAN MATRIX FROM THREE EIGENPAIRS[J].Acta Mathematicae Applicatae Sinica,2005,28(2):333-340. |
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| Authors: | LI ZHENZHU |
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| Abstract: | The problem on the construction of positive Jacobian matrix from three eigen-pairs is considered. Necessary and sufficient conditions for the existence of a unique solution of this problem ,as well as the analytic formula of this solution are derived. A numerical algorithm for computing the solution is presented. |
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| Keywords: | Jacobi matrix inverse eigenpair problem symmetric positive definite matrix |
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