| 矩阵分解在运动分析中的应用初探 |
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| 引用本文： | 田钟颖,严克明.矩阵分解在运动分析中的应用初探[J].兰州理工大学学报,1989(4). |
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| 作者姓名： | 田钟颖 严克明 |
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| 作者单位： | 兰州群方法研究所
(田钟颖)，甘肃工业大学基础课教学研究部(严克明) |
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| 摘 要： | 本文首先建立了矩阵除法的概念,然后给出了一种新的矩阵分解法——梯形分解法,并运用此方法,着重对仿射群A_2(R)和A_3(R)的元素,它们的结构及相互间的运算规律作初步的探讨。结论表明,A_2(R)和A_3(R)的元素可表为一系列代表简单运动的元素的合成,从而剖析了它们的内在结构。
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| 关 键 词： | 仿射群 平移群 矩阵除法 分解梯形 旋转群 |
Preliminary Application of Matrix Decmposition to Motion Analysis |
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| Tian Zhongying.Preliminary Application of Matrix Decmposition to Motion Analysis[J].Journal of Lanzhou University of Technology,1989(4). |
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| Authors: | Tian Zhongying |
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| Institution: | Tian Zhongying ( Lanzhou Gruop Method Research Institute )
Yan Keming ( Department of Basic Courses Teaching ) |
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| Abstract: | In this paper, the conception of matrix division is set up first. Then a new method of matrix decomposition-trapezoidal decomposition is presented. With this method, an emphasis is given to some preliminary discussions on the affine group elements A2(R), A3(R), their structures,and their operations. The results show that the elements of A2(R), A3(R) are to be a serie of compositions of elements, reprenting simple motion. In this way, their inner motion structure is analyzed. |
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| Keywords: | 41affine group translation group matrix division matrix trapezoid group of rotation |
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