Roots of Quaternion Standard Polynomials

Details Roots of Quaternion Standard Polynomials Roots of Quaternion Standard Polynomials

2011-09-22

arxiv.org/abs/1109.4967v3

Mathematics

Rings and Algebras

8 pages, 0 figures

Scientific paper

Here we present a reduction of any quaternion standard polynomial equation into an equation with two central variables and quaternion coefficients. If only pure imaginary roots are in demand, then the equation is with one central variable. As a result of this reduction we obtain formulas for the solutions of quadratic equations. Another result is a routine for analytically solving cubic quaternion equations assuming they have at least one pure imaginary root.

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