| 反中心对称矩阵的广义特征值反问题 |
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| 引用本文： | 周硕,吴柏生.反中心对称矩阵的广义特征值反问题[J].高等学校计算数学学报,2005,27(1):53-59. |
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| 作者姓名： | 周硕 吴柏生 |
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| 作者单位： | 1. 吉林大学数学研究所,长春,130012;东北电力学院数理科学系,吉林,132012
2. 吉林大学数学研究所,长春,130012 |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | Given matrix X and diagonal matrix A , the anti-centrosymmetric solutions (A, B) and its optimal approximation of inverse generalized eigenvalue problem AX = BXA have been considered. The general form of such solutions is given and the expression of the optimal approximation solution to a given matrix is derived. The algorithm and one numerical example for solving optimal approximation solution are included.
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| 关 键 词： | 中心对称矩阵 广义特征值 反问题 |
INVERSE GENERALIZED EIGENVALUE PROBLEM FOR ANTI-CENTROSYMMETRIC MATRICES |
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| Zhou Shuo,Wu Baisheng.INVERSE GENERALIZED EIGENVALUE PROBLEM FOR ANTI-CENTROSYMMETRIC MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2005,27(1):53-59. |
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| Authors: | Zhou Shuo Wu Baisheng |
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| Abstract: | Given matrix X and diagonal matrix A , the anti-centrosymmetric solutions (A, B) and its optimal approximation of inverse generalized eigenvalue problem AX = BXA. have been considered. The general form of such solutions is given and the expression of the optimal approximation solution to a given matrix is derived. The algorithm and one numerical example for solving optimal approximation solution are included. |
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| Keywords: | anti-centrosymmetric matrices generalized eigenvalue inverse problem optimal approximation |
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