吴消元法与四元术

在解多元高次方程组的方法中,四元术的特点是分离系数、顺序消元,含有初步的机械化思想;吴消元法是用电子计算机解多元高次方程组,它的核心是用对多项式约化求余式的方法消元.经过对照,发现四元术的的法则都可以用对多项式约化求余式来概括,从而找到吴消元法与四元术的内在联系,得出吴消元法是四元术的直接继承,吴消元法是四元术现代化发展的结论.

Wu's Method of Elimination and Quaternion

In the means of living to divide the plurality equation of higher degree equation series, the distinguishing features of Quaternion are deparing the factor, the order vanishes the unit, the higher degree equation. Its core is that the use adjusts the polynomial and dissolves around to request the complementary form means to vanish the unit. Through the contrast, the author discovers the rules of Quaternion may employ to the polynomial around dissolves to request the complementary form the summary. Thereby find the intrinsic touch of Wu's Method of Elimination and Quaternion, then yields Wu's Method of Elimination is the immediate inheritances of Quaternion, Wu's Method of Elimination is the modernize development of the Quaternion.