Function extendr_api::prelude::modules::core::householder::make_householder_in_place
pub fn make_householder_in_place<E>(
essential: Option<ColMut<'_, E>>,
head: E,
tail_norm: <E as ComplexField>::Real,
) -> (E, E)where
E: ComplexField,
Expand description
Computes the Householder reflection $I - \frac{v v^H}{\tau}$ such that when multiplied by $x$ from the left, The result is $\beta e_0$. $\tau$ and $\beta$ are returned and $\tau$ is real-valued.
$x$ is determined by $x_0$, contained in head
, and $|x_{1\dots}|$, contained in tail_norm
.
The vector $v$ is such that $v_0 = 1$ and $v_{1\dots}$ is stored in essential
(when provided).