关于一类四元数及八元数方程解的显式表示

摘要

运用初等求根方法研究形如x2= x0(其中x,x0为四元数或八元数)的方程的解,获得其解的显式表示,并给出数值例子。%Elementary algebra method is applied to solve equations such as x2 = x0 ,where x is quaternion and x0 is octonions. The explicit solutions of equations are obtained. and the solution approach is demonstrated with some numerical examples.