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| 反中心对称矩阵的广义特征值反问题 | |
| 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 |
| 作者姓名： | 周硕 吴柏生 |
| 作者单位： | 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;吉林大学数学研究所,长春,130012 |
| 基金项目： | 高等学校博士学科点专项科研项目 |
| 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. |
| 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 | |
| Authors: | Zhou Shuo Wu Baisheng |
| 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. |
| Keywords: | anti-centrosymmetric matrices generalized eigenvalue inverse problem optimal approximation. |
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