Alternating Roots of Polynomials over Cayley-Dickson Algebras
Adam Chapman,
Ilan Levin
Abstract:We introduce the notions of alternating roots of polynomials and alternating
polynomials over a Cayley-Dickson algebra, and prove a connection between the
alternating roots of a given polynomial and the roots of the corresponding
alternating polynomial over the Cayley-Dickson doubling of the algebra. We also
include a detailed Octave code for the computation of alternating roots over
Hamilton's quaternions.
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