四元数标准多项式的纯虚根
Pure Imaginary Roots of Quaternion Standard Polynomials
摘要：
本文提出了一种求解标准四元数方程的新方法。利用这种方法，我们重新获得了已知的二次四元数方程的解的公式，并提供了三次四元数方程的显式解，只要该方程至少有一个纯虚根。我们还讨论了双边四元数多项式的本质纯虚根的个数。
英文摘要：
In this paper, we present a new method for solving standard quaternion equations. Using this method we reobtain the known formulas for the solution of a quadratic quaternion equation, and provide an explicit solution for the cubic quaternion equation, as long as the equation has at least one pure imaginary root. We also discuss the number of essential pure imaginary roots of a two-sided quaternion polynomial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
