| 反自反矩阵的广义逆特征值问题 |
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| 引用本文： | 魏平,王江涛.反自反矩阵的广义逆特征值问题[J].东莞理工学院学报,2009,16(5):13-16. |
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| 作者姓名： | 魏平 王江涛 |
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| 作者单位： | 华南理工大学,数学系,广州,510640;东莞理工学院,计算机学院,广东东莞,523808 |
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| 摘 要： | 研究了反自反矩阵的广义逆特征值问题及其最佳逼近。得到了广义逆特征值问题解的一般表达式,对于任意给定的n阶复矩阵对（A~＊,B~＊）,得到了最佳逼近解,并给出了相应的算法及数值例子。
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| 关 键 词： | 广义逆特征值 反自反矩阵 最佳逼近 |
Generalized Inverse Eigenvalue Problems for Anti-reflexive Matrices |
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| WEI Ping,WANG Jiang-tao.Generalized Inverse Eigenvalue Problems for Anti-reflexive Matrices[J].Journal of Dongguan Institute of Technology,2009,16(5):13-16. |
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| Authors: | WEI Ping WANG Jiang-tao |
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| Institution: | WEI Ping~(1,2) WANG Jiang-tao~(1,2) (1.Department of Mathematics,South China University of Technology,Guangzhou 510640,china,2.Computer College,Dongguan University of Technology,Dongguan 523808,china) |
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| Abstract: | In this paper,the generalized inverse eigenvalue problem of anti-reflexive and relevant optimal approximation problem are considered.And a general representation of the solution is derived.Furthermore,for any given matrices(A*,B*),an expression of solution for its approximation,algorithm and numerical example is presented. |
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| Keywords: | anti-reflexive matrix generalized inverse eigenvalue optimal approximation |
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