| 谱约束下拟反自反矩阵的最佳逼近问题 |
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| 引用本文： | 陈志宝,魏平.谱约束下拟反自反矩阵的最佳逼近问题[J].东莞理工学院学报,2011,18(1):18-21. |
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| 作者姓名： | 陈志宝 魏平 |
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| 作者单位： | 陈志宝,CHEN Zhi-bao(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);魏平,WEI Ping(华南理工大学数学系,广州,510640) |
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| 摘 要： | 研究了拟反自反矩阵的逆特征值问题及其最佳逼近问题,建立了拟反自反矩阵逆特征值问题有解的充要条件,得到了解的表达式。进一步,对于任意给定的n阶复矩阵,得到了相关最佳逼近问题解得表达式。
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| 关 键 词： | 拟反自反矩阵 逆特征值问题 最佳逼近 矩阵范数 |
Optimal Approximation Problem of Quasi-antireflexive Matrices under the Spectral Restriction |
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| CHEN Zhi-bao,WEI Ping.Optimal Approximation Problem of Quasi-antireflexive Matrices under the Spectral Restriction[J].Journal of Dongguan Institute of Technology,2011,18(1):18-21. |
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| Authors: | CHEN Zhi-bao WEI Ping |
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| Institution: | CHEN Zhi-bao WEI Ping (1.Department of Mathematics,South China University of Technology,Guangzhou 510640,China,2.College of Computer,Dongguan University of Technology,Dongguan 523808,China) |
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| Abstract: | In this paper,the inverse eigenvalue problem of Quasi-antireflexive matrices and relevant optimal approximation problem are considered.Some necessary and sufficient conditions of the solvability for the inverse eigenvalue problem are given.A general representation of the solution is presented for solvable case.Furthermore,for any given complex matrix of dimension,an expression of solution for its optimal approximation is presented. |
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| Keywords: | Quasi-antireflexive matrix inverse eigenvalue problem optimal approximation matrix norm |
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