吴消元法与四元术

在解多项式方程组的过程中,吴消元法的核心是用对多项式约化求余式的方法消元.研究中发现,清代沈钦裴四元消法的三条法则均系互乘对消,都可以写成除法变换的形式.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 course of divideing the plurality equation of higher degree equation series,the core of Wu′s Method of Elimination is that the use adjusts the polynomial and dissolves around to request the complementary form means to vanish the unit.The three rules of quatrnion which qinpei Shen of Qing dynasty discovered are mutual multiplication and offsetting.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.