| 二元多项式最大公因式的矩阵求法 |
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| 引用本文： | 陈露.二元多项式最大公因式的矩阵求法[J].河南科学,2011,29(8):899-903. |
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| 作者姓名： | 陈露 |
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| 作者单位： | 陕西理工学院数学系,陕西汉中,723000 |
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| 基金项目： | 陕西省教育厅科研专项基金项目(11JK0477) |
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| 摘 要： | 在二元多项式矩阵中引入初等行变换的概念,利用分式域和本原多项式的概念讨论了二元多项式最大公因式的求解方法,给出了利用矩阵初等变换求解多个二元多项式最大公因式的一般方法.
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| 关 键 词： | 最大公因式 二元多项式 矩阵初等变换 |
Solution of Maximum Common Factor of Binary Polynomials |
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| Chen Lu.Solution of Maximum Common Factor of Binary Polynomials[J].Henan Science,2011,29(8):899-903. |
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| Authors: | Chen Lu |
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| Institution: | Chen Lu(Department of Mathematics,Shaanxi University of Technology,Hanzhong 723000,Shaanxi China) |
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| Abstract: | The concept of elementary row-transformation of binary polynomials matrix is introduced.Based on the fractional field and primitive polynomial,the maximum common factor of two binary polynomials is discussed.The method of calculating the maximum common factor of more binary polynomials is given by the elementary transformation of matrix. |
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| Keywords: | maximum common factor binary polynomial elementary transformation of matrix |
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