| 正规矩阵的性质及判定 |
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| 引用本文： | 彭志平,何偲钰,邓泽,刘熠.正规矩阵的性质及判定[J].内江师范学院学报,2011,26(10):7-10. |
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| 作者姓名： | 彭志平 何偲钰 邓泽 刘熠 |
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| 作者单位： | 内江师范学院数学与信息科学学院,四川内江,641100 |
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| 基金项目： | 四川省教育厅青年基金，内江师范学院大学科研基金 |
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| 摘 要： | 根据伴随矩阵以及全转置矩阵的性质，研究了正规矩阵的若干性质，得到了正规矩阵的若干等价刻画．特别地，得到了高次混合伴随阵正规以及分块矩阵正规的充分必要条件．
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| 关 键 词： | 正规矩阵 伴随矩阵 全转置矩阵 高次混合伴随阵 |
Properties and Judgments of Normal Matrices |
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| PENG Zhi-ping,HE Si-yu,DENG Ze,LIU Yi.Properties and Judgments of Normal Matrices[J].Journal of Neijiang Teachers College,2011,26(10):7-10. |
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| Authors: | PENG Zhi-ping HE Si-yu DENG Ze LIU Yi |
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| Institution: | PENG Zhi-ping,HE Si-yu,DENG Ze,LIU Yi(College of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641100,China) |
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| Abstract: | Based on the properties of adjoint matrix and full-transposed matrix, some properties of normal matrices are investigated, and many equivalent characterizations of normal matrices are obtained. In particular, the sufficient and necessary conditions of high-order mixed adjoint matrix to be a normal matrix are made clear. |
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| Keywords: | normal matrix adjoint matrix full-transposed matrix high-order mixed normal matrix |
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