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arXiv · 0801.2887

Canonic form of linear quaternion functions

Stephen J. Sangwine
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Abstract

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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Stephen J. Sangwine. 2008-01-18. Canonic form of linear quaternion functions. https://arxiv.org/abs/0801.2887

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