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由特征值唯一确定的实3×3Hankel矩阵(英文)
引用本文:何淦瞳.由特征值唯一确定的实3×3Hankel矩阵(英文)[J].数学杂志,2010,30(1).
作者姓名:何淦瞳
作者单位:贵州大学数学系,贵州,贵阳,550025
基金项目:Supported by the Natural Science Foundation of Science and Technology Office of Guizhou Province(J[2006]2002)
摘    要:本文研究了由特征值唯一确定的3×3实Hankel矩阵.借助于M.Fielder1]的结论并经过细致的讨论,得到3×3实Hankel矩阵由其特征值唯一确定的充分必要条件,刻画了3×3实Hankel矩阵的一种特征值性质.

关 键 词:特征值  正交矩阵  Hankel矩阵

REAL 3×3 HANKEL MATRICES UNIQUELY DETERMINED BY THEIR SPECTRA
HE Gan-tong.REAL 3×3 HANKEL MATRICES UNIQUELY DETERMINED BY THEIR SPECTRA[J].Journal of Mathematics,2010,30(1).
Authors:HE Gan-tong
Institution:HE Gan-tong (Dept.of Math.,Guizhou University,Guiyang 550025,China)
Abstract:In this article,we study the real 3 × 3 Hankel matrices determined by their spectra.By using M.Fielder's conclusions in 1],but somewhat tedious calculations,we obtain the spectral condition by which a real 3×3 Hankel matrix is uniquely determined.So we represent a spectral property of real 3×3 Hankel matrices.
Keywords:eigenvalue  orthogonal matrix  Hankel matrix
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