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HGAH矩阵的逆特征值问题
引用本文:张忠志 LiuChangrong.HGAH矩阵的逆特征值问题[J].高校应用数学学报(英文版),2004,19(3):342-348.
作者姓名:张忠志  LiuChangrong
作者单位:[2]SchoolofMath.Science,CentralSouthUniv.,Changsha410083,China [3]FacultyofMathematicsandEconometrics,HunanUniv.,Changsha410082,China.
摘    要:In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamihonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given.

关 键 词:矩阵    特征值  厄密共轭
收稿时间:13 October 2003

Inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices
Zhang?Zhongzhi,Liu?Changrong.Inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices[J].Applied Mathematics A Journal of Chinese Universities,2004,19(3):342-348.
Authors:Zhang Zhongzhi  Liu Changrong
Institution:(1) School of Math. Science, Central South Univ., 410083 Changsha, China;(2) Dept. of Math., Hunan City Univ., 413000 Yiyang, China;(3) Faculty of Mathematics and Econometrics, Hunan Univ., 410082 Changsha, China
Abstract:In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. Supported by the National Natural Science Foundation of China (1017103).
Keywords:15A57
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