| 关于正规矩阵的判定 |
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| 引用本文： | 陈惠汝,刘红超.关于正规矩阵的判定[J].高师理科学刊,2009,29(5):87-89. |
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| 作者姓名： | 陈惠汝 刘红超 |
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| 作者单位： | 黄冈师范学院,数学与信息科学学院,湖北,黄冈,438000 |
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| 摘 要： | 对角矩阵、Hermite矩阵、反Hermite矩阵、酉矩阵、对称矩阵、反对称矩阵、正交矩阵都是正规矩阵,所以正规矩阵作为一个更为广泛的矩阵类,有必要对它的判定条件进一步研究.由正规矩阵的定义、矩阵对角化、特征值与特征向量、矩阵实部和虚部、矩阵分解、谱分解等方面给出了正规矩阵的一些判定条件.
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| 关 键 词： | 正规矩阵 Schur定理 对角化 特征向量 谱分解 |
The determining conditions of normal matrices |
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| CHEN Hui-ru,LIU Hong-chao.The determining conditions of normal matrices[J].Journal of Science of Teachers＇College and University,2009,29(5):87-89. |
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| Authors: | CHEN Hui-ru LIU Hong-chao |
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| Institution: | CHEN Hui-ru,LIU Hong-chao(School of Mathematics and Information Science,Huanggang Normal University,Huanggang 438000,China) |
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| Abstract: | Diagonal matrix,hermite matrix,skew-Hermitian matrix,unitary matrix,symmetric matrix,skew-symmetric matrix,orthogonal matrix are normal matrices.Normal matrices so formal as a wider range of matrices,it is necessary to determine the conditions for its further study.The determining conditions of normal matrices was disussed in aspects of definition,matrix diagonalization,eigenvalue and eigenvector,matrix realand and imaginary parts,matrix decomposition and prover vector. |
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| Keywords: | normal matrices Schur theorem diagonalization eigenvector proper vector |
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