| 矩阵Hadamard乘积的一些性质 |
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| 引用本文： | 武传东,薛善增.矩阵Hadamard乘积的一些性质[J].盐城工学院学报(自然科学版),2007,20(1):27-28. |
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| 作者姓名： | 武传东 薛善增 |
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| 作者单位： | 重庆大学,数理学院,重庆,400044 |
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| 摘 要： | 研究了矩阵Hadamard乘积的元素和的性质,得到一系列新的结果.发现两个矩阵不同,是因为它们之间存在夹角和大小的差异.找到了矩阵垂直的充要条件,矩阵Hadamard乘积的元素和与此矩阵的行列式的关系。
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| 关 键 词： | Hadamard乘积 元素和 矩阵夹角 矩阵垂直 |
| 文章编号： | 1671-5322（2007）01-0027-02 |
| 收稿时间： | 2006-12-20 |
| 修稿时间： | 2006年12月20 |
Hadamard Multiplication of Matrix |
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| WU Chuan-dong,XUE Shan-zeng.Hadamard Multiplication of Matrix[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2007,20(1):27-28. |
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| Authors: | WU Chuan-dong XUE Shan-zeng |
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| Institution: | College of Mathmatics and Science,Chongqing University,Chongqing 400044,China |
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| Abstract: | This paper studied the characteristics of the sum of element for matrix Hadamard product and got a series of new findings.The discovery was that there were differences between two matrixes because of the diversities in intersection angle and magnitude.The sufficient and necessary condition for matrix perpendicularity and the relationship between the sum of element for matrix Hadamard product and the determinant for this matrix was also found. |
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| Keywords: | hadamard multiplication entries sum matrix nipangle matrix perpendicularity |
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