| Euclides除法的矩阵表示算法 |
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| 引用本文： | 张民悦.Euclides除法的矩阵表示算法[J].兰州理工大学学报,1995(1). |
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| 作者姓名： | 张民悦 |
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| 作者单位： | 甘肃工业大学基础课部 |
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| 摘 要： | 利用变换的方法给出了一种可以一次性求出任意有限个不全为零的一元多项式的最大公因式的计算方法，该算法将Ｅｕｃｌｉｄｅｓ辗转除法进行了推广，且适于计算两个以上的不全为零的一元多项式的最大公因式。
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| 关 键 词： | Euclides除法 多项式系数矩阵 最大公因式 调整变换 降幂变换 |
Matrix Represcntation Algorithm for Euclides Division |
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| Zhang Minyue.Matrix Represcntation Algorithm for Euclides Division[J].Journal of Lanzhou University of Technology,1995(1). |
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| Authors: | Zhang Minyue |
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| Abstract: | Eniploying the transformation method,an algorithm for finding once for all thehighest common factor out of arbitrary limited number of such polynomials with single vari-able that are uneflual to zero simultaneously is developed. The method presented has general-ized the division algorithm of Euclides and is especially suitable for finding the highest com-mon factor out of more than two polynomals above mentione. |
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| Keywords: | Euclides division coefficient matrix of polynomial highest common factor adjustment transformation decrcasing power transformation |
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