四元数积的弱可交换性及其一个应用

The Weakly Exchangeable Property of Quaternion Product and an Application

中文关键词:  四元数积  弱可交换  矩阵方程.

英文关键词:quaternion product  weakly exchangeable  matrix equation.

中文摘要:

      用向量表示四元数.得到四元数乘积的一个弱可交换律，并利用它将四元数体上线性矩阵方程转化为数域上的线性方程组，给出此类方程的一般解法.

英文摘要:

      This paper gets a weakly exchangeable law of quaternion product by means of quaternion to be expressed vector. And by it, we turn linear matrix equation over quaternion field into linear equations over a number field, and obtain normal solutions of this kind of equation.