| 求解二元多项式最大公因式的结矩阵算法 |
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| 引用本文： | 郝建强,辛小龙,穆玉杰.求解二元多项式最大公因式的结矩阵算法[J].吉林大学学报(理学版),1999(2):31-35. |
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| 作者姓名： | 郝建强 辛小龙 穆玉杰 |
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| 作者单位： | 1. 北京轻工业学院自动化工程系,北京,100037
2. 西北大学数学系,西安,710069 |
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| 摘 要： | 应用结矩阵和结多项式的性质， 通过引入结最小多项式和标准结基解矩阵等概念， 探讨结矩阵、结多项式与求解二元多项式最大公因式的关系． 给出一种求解二元多项式最大公因式的新方法．
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| 关 键 词： | 最大公因式 结矩阵 结多项式 结最小多项式 标准结基解矩阵 |
| 修稿时间： | 1998-04-08 |
The Resultant Matrix Algorithm for Solving the Greatest Common Factor of Two-variable Polynomials |
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| Hao Jianqiang,Xin Xiaolong,Mu Yujie.The Resultant Matrix Algorithm for Solving the Greatest Common Factor of Two-variable Polynomials[J].Journal of Jilin University: Sci Ed,1999(2):31-35. |
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| Authors: | Hao Jianqiang Xin Xiaolong Mu Yujie |
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| Institution: | Hao Jianqiang
(Department of Automation Engineering, Beijing Institute of Light Industry, Beijing,
100037)
Xin Xiaolong, Mu Yujie
(Department of Mathematics, Northwest University, Xi'an, 710069) |
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| Abstract: | The present paper deals with the relations of resultant matrices and resultant polynomials with solving the greatest common factor of two variable polynomials, respectively, on the basis of the concepts of resultant minimum polynomials and standard resultant base solving matrix introduced from the properties of resultant matrices and resultant polynomials. Thus we gave a kind of new method for solving the greatest common factor of two variable polynomials. |
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| Keywords: | greatest common factor resultant matrix resultant polynomial resultant minimum polynomial standard resultant base solving matrix |
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