| 实对称矩阵束广义特征值逆问题及其最佳逼近 |
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| 引用本文： | 吴筑筑.实对称矩阵束广义特征值逆问题及其最佳逼近[J].韶关学院学报,1993(2). |
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| 作者姓名： | 吴筑筑 |
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| 作者单位： | 韶关大学计算机系 |
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| 摘 要： | 本文讨论实对称矩阵束广义特征值逆问题及其最佳逼近问题。给出了解的一般表达式以及数值算法和算例。推广了文献1]的结果。讨论了实对称半正定矩阵束广义特征值逆问题的解存在的条件并给山了通解表达式。
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| 关 键 词： | 实对称矩阵 特征值 谱约束 最佳逼近 |
INVERSE PROBLEM OF GENERALIZED EIGENVALUE FOR REAL SYMMETRIC MATRICES PENCIL AND ITS BEST APPROXIMATION |
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| Wu Zhu zhu.INVERSE PROBLEM OF GENERALIZED EIGENVALUE FOR REAL SYMMETRIC MATRICES PENCIL AND ITS BEST APPROXIMATION[J].Journal of Shaoguan University(Social Science Edition),1993(2). |
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| Authors: | Wu Zhu zhu |
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| Abstract: | In this paper, we discuss the inverse problem of generalized eigenvalue for real symmetric matrices and its best approximation. The general expressions of the solutions are given, and a numarical algorithm and an example are provided. The results of the reference are extended. The inverse problem of generalized eigenvalue for real symmetric positive semidefnite matrices is studied, the conditions for the existence and the general expressions of the solutions are derived. |
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| Keywords: | symmetric matrix eigenvalue spcctral rcstriction best approximation |
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