Pure Imaginary Roots of Quaternion Standard Polynomials

2011/09/22 by Adam Chapman, Chapman, Adam
Mathematics · #11R52 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:11R52

paper · pdf · doi:10.48550/arxiv.1109.4967

9 pages, 0 figures

arxiv created 2013/04/29 · arxiv updated 2013/04/30

Abstract

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.

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