| n维线性空间中标准正交基算法的研究 |
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| 引用本文： | 王建平,张香伟,侯金超,孙成金.n维线性空间中标准正交基算法的研究[J].商丘师范学院学报,2005,21(5):58-60. |
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| 作者姓名： | 王建平 张香伟 侯金超 孙成金 |
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| 作者单位： | 1. 河南农业大学,基础科学学院,河南,郑州,450002
2. 郑州师专,数学系,河南,郑州,450002 |
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| 摘 要： | 给出了n维线性空间V中基向量组的标准正交化过程的新方法，这种方法仅仅采用列的初等变换的方法，该方法思路简洁，算法简单，计算机编程设计简单有效．
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| 关 键 词： | 基 初等变换 消法矩阵 单位上三角矩阵 正交基 标准正交基 正定矩阵 |
| 文章编号： | 1672-3600（2005）05-0058-03 |
| 收稿时间： | 2004-06-15 |
| 修稿时间： | 2004年6月15日 |
Studies on the orthemetic of unit orthogonal Basis in n-dimension linear space |
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| WANG Jian-ping,ZHANG Xiang-wei,HOU Jin-chao,SUN Cheng-jin.Studies on the orthemetic of unit orthogonal Basis in n-dimension linear space[J].Journal of Shangqiu Teachers College,2005,21(5):58-60. |
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| Authors: | WANG Jian-ping ZHANG Xiang-wei HOU Jin-chao SUN Cheng-jin |
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| Abstract: | In this paper, a general method of the orthogonalizing basis vectors set to be unit orthogonal basis in the n-dimension linear space is proposed, It has only use elementary transformation of column, and Not only is train of thoughts new and original, but also its orithmetic is very forthright, Programmer are given to demonstrate the validity of this method for solving this kind of problems. |
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| Keywords: | basis elementary transformation cancellation matrix unit upper triangular matrix orthogonal basis unit ort hgonal basis positive definite matrix |
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