Canonic form of linear quaternion functions

Details Canonic form of linear quaternion functions Canonic form of linear quaternion functions

2008-01-18

arxiv.org/abs/0801.2887v1

Mathematics

Rings and Algebras

4 pages

Scientific paper

The general linear quaternion function of degree one is a sum of terms with quaternion coefficients on the left and right. The paper considers the canonic form of such a function, and builds on the recent work of Todd Ell, who has shown that any such function may be represented using at most four quaternion coefficients. In this paper, a new and simple method is presented for obtaining these coefficients numerically using a matrix approach which also gives an alternative proof of the canonic forms.

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