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

Published 8 Jul 2021 in math.FA | (2107.04149v1)

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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