| 正规矩阵若干判定及性质 |
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| 引用本文： | 卢辛全,王玉良,胡江海.正规矩阵若干判定及性质[J].阜阳师范学院学报(自然科学版),2009,26(3):4-6. |
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| 作者姓名： | 卢辛全 王玉良 胡江海 |
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| 作者单位： | 1. 河海大学理学院,江苏南京,210098
2. 安平中学,安徽铜陵,244103 |
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| 摘 要： | 根据正规矩阵的定义、Schur定理和矩阵酉等价，以及矩阵实Hermite部分和斜Hermite部分等相关性质．从特征值、矩阵酉等价等方面，给出复数域上矩阵是正规矩阵的若干等价条件及证明．
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| 关 键 词： | 酉矩阵 正规矩阵 酉等价 |
Several equivalent conditions of a normal matrix |
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| Institution: | LU Xin-quan ,WANG Yu-liang ,HU Jiang-hai (1. College of Science of Hohai University,Nanjing Jiangsu 210098 ,China ; 2. AnPing middle school, Tongling Anhui 244103,China ) |
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| Abstract: | According to the definition of the formal matrices,Schur-lemma and matrix unitary equivalence theorem,as well as the matrix is part of Hermite and oblique nature of other related parts of Hermite.From the characteristics of value,equivalent unitary matrix in terms of complex field matrix is given regular matrix and prove some equivalent conditions. |
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| Keywords: | U-matrix normal matrix U-equivalence of matrixes |
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