2020•Mathematical Methods in the Applied SciencesRequires access
Real matrix representations of complex split quaternions with applications
Melek Erdoğdu, Mustafa Özdemir
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Abstract
In this paper, we introduce 8×8 real matrix representations of complex split quaternions. Then, the relations between real matrix representations of split and complex split quaternions are stated. Moreover, we investigate some linear split and complex split quaternionic equations with split Fibonacci and complex split Fibonacci quaternion coefficients. Finally, we also give some numerical examples as applications of real matrix representation of complex split quaternions.