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Euler-Rodrigues formula for three-dimensional rotation via fractional powers of matrices

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arxiv 2107.04149 v1 pith:GK35J2UO submitted 2021-07-08 math.FA

Flank D. M. Bezerra , Lucas A. Santos This is my paper
classification math.FA
keywords fractionalpowersrotationeuler-rodriguesformulamatricesthree-dimensionalangle
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abstract

In this short paper, we review the Euler-Rodrigues formula for three-dimensional rotation via fractional powers of matrices. We derive the rotations by any angle through the spectral behavior of the fractional powers of the rotation matrix by $\frac{\pi}{2}$ in $\mathbb{R}^3$ about some axis.

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