| 基于矩阵斜消变换的最大公因式求解 |
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| 引用本文： | 郁金祥. 基于矩阵斜消变换的最大公因式求解[J]. 数学的实践与认识, 2005, 35(11): 78-82 |
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| 作者姓名： | 郁金祥 |
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| 作者单位： | 浙江大学数学系,浙江,杭州,310027;嘉兴学院数学与信息科学学院,浙江,嘉兴,314001 |
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| 摘 要： | 提出了矩阵的第一、第二斜消变换概念,并利用其得到求解多个多项式的最大公因式的方法.提供了相关的证明及具体的应用实例.
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| 关 键 词： | 矩阵第一斜消变换 矩阵第二斜消变换 最大公因式 |
| 修稿时间： | 2004-12-06 |
A Way to Evaluate the Greatest Common Factor Based on the Oblique Elementary Operation of Matrix |
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| YU Jin-xiang. A Way to Evaluate the Greatest Common Factor Based on the Oblique Elementary Operation of Matrix[J]. Mathematics in Practice and Theory, 2005, 35(11): 78-82 |
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| Authors: | YU Jin-xiang |
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| Abstract: | In this paper,the auther advance the concept of the first and the second oblique elementary operation of matrix.Then gives a new way to evaluate the greatest common factor of a few polynomials.The theory of this way is proved.At last,an example based on this way is given. |
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| Keywords: | the oblique elementary of matrix the second oblique elementary of matrix the greatest common factor |
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