Computes the derivativative matrix of a versor wrt its generator vector . [\frac{\partial \hat{A}}{\partial \vec{A}} = \frac{1}{||\vec{A}||^3} (||\vec{A}||^2 \mathbb{1}_3 - A^\dagger A) = \frac{1}{||\vec{A}||^3} \begin{bmatrix} ||\vec{A}||^2 - \vec{A}_x^2 & - \vec{A}_x \vec{A}_y & - \vec{A}_x \vec{A}_z \ !! - \vec{A}_y \vec{A}_x &
||\vec{A}||^2 - \vec{A}_y^2 &
- \vec{A}_y \vec{A}_z \ !! - \vec{A}_z \vec{A}_x &
- \vec{A}_z \vec{A}_y &
||\vec{A}||^2 - \vec{A}_z^2 \ !! \end{bmatrix}
]
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
real(kind=rp), | intent(in), | dimension(3) | :: | a |