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f06 Chapter Introduction
NAG C Library Manual

# NAG Library Function Documentnag_zrscl (f06kec)

## 1  Purpose

nag_zrscl (f06kec) multiplies a complex vector by the reciprocal of a real scalar.

## 2  Specification

 #include #include
 void nag_zrscl (Integer n, double alpha, Complex x[], Integer incx)

## 3  Description

nag_zrscl (f06kec) performs the operation
 $x←1 α x$
where $x$ is an $n$-element complex vector and $\alpha$ is a real nonzero scalar scattered with stride incx.

None.

## 5  Arguments

1:     nIntegerInput
On entry: $n$, the number of elements in $x$.
On entry: the scalar $\alpha$.
Constraint: ${\mathbf{alpha}}\ne 0.0$.
3:     x[$\mathit{dim}$]ComplexInput/Output
Note: the dimension, dim, of the array x must be at least $\mathrm{max}\phantom{\rule{0.125em}{0ex}}\left(1,1+\left({\mathbf{n}}-1\right)×{\mathbf{incx}}\right)$.
On entry: the $n$-element vector $x$. ${x}_{\mathit{i}}$ must be stored in ${\mathbf{x}}\left[1+\left(\mathit{i}-1\right)×{\mathbf{incx}}\right]$, for $\mathit{i}=1,2,\dots ,{\mathbf{n}}$.
Intermediate elements of x are not referenced.
On exit: the updated vector $x$, stored in the same array elements used to supply the original vector.
4:     incxIntegerInput
On entry: the increment in the subscripts of x between successive elements of $x$.
Constraint: ${\mathbf{incx}}>0$.

None.

Not applicable.