naginterfaces.library.blas.zcrot

naginterfaces.library.blas.zcrot(x, y, c, s)

zcrot applies a complex plane rotation to two complex vectors.

For full information please refer to the NAG Library document for f06hp

https://support.nag.com/numeric/nl/nagdoc_30.2/flhtml/f06/f06hpf.html

Parameters

xcomplex, array-like, shape $\left(n\right)$

The $n$-element vector $x$.

ycomplex, array-like, shape $\left(n\right)$

The $n$-element vector $y$.

ccomplex

The value $c$, the cosine of the rotation.

scomplex

The value $s$, the sine of the rotation.

Returns

xcomplex, ndarray, shape $\left(n\right)$

The transformed vector $x$.

ycomplex, ndarray, shape $\left(n\right)$

The transformed vector $y$.

Notes

No equivalent traditional C interface for this routine exists in the NAG Library.

zcrot applies a complex plane rotation to two $n$-element complex vectors $x$ and $y$:

$$\begin{array}{c}\left(\begin{array}{c}{x}^T\\ y^T\end{array}\right)\leftarrow \left(\begin{array}{cc}c& s\\ -\overline{s}& \overline{c}\end{array}\right)\left(\begin{array}{c}{x}^T\\ y^T\end{array}\right)\text{.}\end{array}$$