| 计算正交表矩阵象的简便方法及其初等证明 |
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| 引用本文： | 庞善起,郭学宾,闫荣. 计算正交表矩阵象的简便方法及其初等证明[J]. 河南师范大学学报(自然科学版), 2006, 34(4): 5-8 |
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| 作者姓名： | 庞善起 郭学宾 闫荣 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007;河南师范大学,数学与信息科学学院,河南,新乡,453007;河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 摘 要： | 利用投影矩阵正交分解构造正交表时,经常用到小正交表的矩阵象,而这些小正交表的矩阵象用矩阵象定义求解时却显得有些烦琐.在一些文献中出现了求解正交表矩阵象的简便方法.本文对这种求解方法给出了初等证明.
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| 关 键 词： | 正交表 置换矩阵 投影矩阵 矩阵象 |
| 文章编号： | 1000-2367(2006)04-0005-04 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
The Simple Method for Calculating Matrix Image of Orthogonal Array and Its Elementary Proof |
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| PANG Shan-qi,GUO Xue-bin,YAN Rong. The Simple Method for Calculating Matrix Image of Orthogonal Array and Its Elementary Proof[J]. Journal of Henan Normal University(Natural Science), 2006, 34(4): 5-8 |
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| Authors: | PANG Shan-qi GUO Xue-bin YAN Rong |
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| Affiliation: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
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| Abstract: | When one constructs orthogonal arrays by using orthogonal decomposition of projection matrix, matrix image of smaller orthogonal array is necessary. But it is difficult to obtain matrix image of small orthogonal array from its definition sometimes. A kind of method for finding matrix image more easily appears in literature. In this paper we give an elementary proof for this method. |
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| Keywords: | orthogonal array permutation matrix, projection matrix matrix image |
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