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arXiv · 2107.04149

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

Flank D. M. Bezerra·Lucas A. Santos
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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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BibTeXRIS

Flank D. M. Bezerra, Lucas A. Santos. 2021-07-08. Euler-Rodrigues formula for three-dimensional rotation via fractional powers of matrices. https://arxiv.org/abs/2107.04149

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