naginterfaces.library.blas.zaxpy

naginterfaces.library.blas.zaxpy(alpha, x, y)

zaxpy adds a scaled complex vector to an unscaled complex vector.

For full information please refer to the NAG Library document for f06gc

https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/f06/f06gcf.html

Parameters

alphacomplex

The scalar $\alpha$.

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

The $n$-element vector $x$.

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

The $n$-element vector $y$.

Returns

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

The updated vector $y$.

Notes

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

zaxpy performs the operation

$$y\leftarrow \alpha x+y$$

where $x$ and $y$ are $n$-element complex vectors, and $\alpha$ is a complex scalar.

References

Lawson, C L, Hanson, R J, Kincaid, D R and Krogh, F T, 1979, Basic linear algebra supbrograms for Fortran usage, ACM Trans. Math. Software (5), 308–325