Abstract
Split quaternions are noncommutative and contain nontrivial zero divisors. Generally speaking, it is difficult to solve equations in such an algebra. In this paper, by using the roots of any split quaternions and two real nonlinear systems, we derive explicit formulas for computing the roots of x2+bx+c=0 in split quaternion algebra.
Funder
National Natural Science Foundation of China
Key project of National Natural Science Foundation of Guangdong Province Universities
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis