| 由主子阵和特殊次序缺损特征对构造Jacobi矩阵 |
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| 引用本文： | 马昌社,胡锡炎,张磊.由主子阵和特殊次序缺损特征对构造Jacobi矩阵[J].计算数学,2003,25(4):463-470. |
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| 作者姓名： | 马昌社 胡锡炎 张磊 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | In this paper,an inverse eigenvalue problem of constructing a Jacobian matrix from its prescribed specially ordered defective eigenpairs and a principal subma-trix is considered.The necessary and sufficient conditions for the existence and uniqueness of the solution are derived.Two numerical algorithms and two numer-ical examples are given.
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| 关 键 词： | Jacobi矩阵 主子阵 特殊次序缺损特征对 特征值 |
| 修稿时间： | 2001年10月3日 |
ON THE CONSTRUCTION OF A JACOBIAN MATRIX FROM ITS PRESCRIBED SPECIALLY ORDERED DEFECTIVE EIGENPAIRS AND A PRINCIPAL SUBMATRIX |
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| Ma Changshe Hu Xiyan Zhang Lei College of Mathematics and Econometrics,Hunan University,Changsha.ON THE CONSTRUCTION OF A JACOBIAN MATRIX FROM ITS PRESCRIBED SPECIALLY ORDERED DEFECTIVE EIGENPAIRS AND A PRINCIPAL SUBMATRIX[J].Mathematica Numerica Sinica,2003,25(4):463-470. |
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| Authors: | Ma Changshe Hu Xiyan Zhang Lei College of Mathematics and Econometrics Hunan University Changsha |
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| Institution: | Ma Changshe Hu Xiyan Zhang Lei College of Mathematics and Econometrics, Hunan University, Changsha, 410082 |
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| Abstract: | In this paper, an inverse eigenvalue problem of constructing a Jacobian matrix from its prescribed specially ordered defective eigenpairs and a principal subma-trix is considered. The necessary and sufficient conditions for the existence and uniqueness of the solution are derived. Two numerical algorithms and two numerical examples are given. |
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| Keywords: | Jacobian matrix principal submatrix ordered defective eigenpair |
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