2007/02/04 by Todd A. Ell, Ell, Todd A. · 1 citation
Computer Science · Mathematics · #11R52 #20G20 #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #math.RA #msc:11R52 #msc:20G20
paper · pdf · doi:10.48550/arxiv.math/0702084
11 pages, no figures
arxiv created 2007/02/04 · openalex publication_date 2007/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A method of reducing general quaternion functions of first degree, i.e., linear quaternion functions, to quaternary canonical form is given. Linear quaternion functions, once reduced to canonical form, can be maintained in this form under functional composition. furthermore, the composition operation is symbolically identical to quaternion multiplication, making manipulation and reduction of systems of linear quaternion functions straight forward.