Adv Appl Clifford Algebr 2021 7;31(3):29. Epub 2021 Apr 7.
Department of Basic Sciences in Engineering Sciences, University of Innsbruck, Technikerstr. 13, 6020 Innsbruck, Austria.
We present an algorithm to compute all factorizations into linear factors of univariate polynomials over the split quaternions, provided such a factorization exists. Failure of the algorithm is equivalent to non-factorizability for which we present also geometric interpretations in terms of rulings on the quadric of non-invertible split quaternions. However, suitable real polynomial multiples of split quaternion polynomials can still be factorized and we describe how to find these real polynomials. Read More