正规矩阵的性质及判定

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, (10): 7-10.

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, (10): 7-10.

PENG Zhi-ping, HE Si-yu, DENG Ze, LIU Yi. Properties and Judgments of Normal Matrices[J]. Journal of Neijiang Normal University, 2011, (10): 7-10.

Citation:

PENG Zhi-ping, HE Si-yu, DENG Ze, LIU Yi. Properties and Judgments of Normal Matrices[J]. Journal of Neijiang Normal University, 2011, (10): 7-10.

Properties and Judgments of Normal Matrices

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.

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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