| 复广义规范矩阵的一些性质 |
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| 引用本文： | 詹仕林.复广义规范矩阵的一些性质[J].黑龙江大学自然科学学报,2004,21(4):115-117. |
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| 作者姓名： | 詹仕林 |
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| 作者单位： | 韩山师范学院,数学系,广东,潮州,521041 |
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| 基金项目： | Supported by the Natural Science Foundation of Education Commission of Guangdong Province(Z03095) |
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| 摘 要： | 定义复广义规范矩阵,拓广了复规范矩阵和复正定矩阵(未必对称)的概念.研究复广义规范矩阵的一些等价条件,解决了‖A‖与‖A‖2/n的上界、下界问题,其中A=H(A)+K(A),H(A)=frac12(A+A*),K(A)=frac12(A-A*).由于引入广义规范矩阵的概念,得到了复规范矩阵与复正定矩阵的统一的研究方法.
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| 关 键 词： | 复广义规范矩阵 复规范矩阵 复正定矩阵 |
Some properties of the complex generalized normal matrix |
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| ZHAN Shi-lin.Some properties of the complex generalized normal matrix[J].Journal of Natural Science of Heilongjiang University,2004,21(4):115-117. |
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| Authors: | ZHAN Shi-lin |
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| Abstract: | The complex generalized normal matrix is de?nited and the conceptions of complex normal matrix and com- plex positive de?nite matrix (possibly nonsymmetric) are generalized. Some equivalent conditions of complex generalized normal matrix are discussed. The boundary problems of A and A 2/n are given. Because of the use of the conception of complex generalized normal matrix, the uni?ed research method of the complex normal matrix and the complex positive de?nite matrix (possibly nonsymmetric) is o?ered. |
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| Keywords: | generalized normal matrix normal matrix positive de?nite matrix |
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