F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

# NAG Library Routine DocumentF06KEF

Note:  before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details.

## 1  Purpose

F06KEF multiplies a complex vector by the reciprocal of a real scalar.

## 2  Specification

 SUBROUTINE F06KEF ( N, ALPHA, X, INCX)
 INTEGER N, INCX REAL (KIND=nag_wp) ALPHA COMPLEX (KIND=nag_wp) X(*)

## 3  Description

F06KEF 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  Parameters

1:     N – INTEGERInput
On entry: $n$, the number of elements in $x$.
2:     ALPHA – REAL (KIND=nag_wp)Input
On entry: the scalar $\alpha$.
Constraint: ${\mathbf{ALPHA}}\ne 0.0$.
3:     X($*$) – COMPLEX (KIND=nag_wp) arrayInput/Output
Note: the dimension 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:     INCX – INTEGERInput
On entry: the increment in the subscripts of X between successive elements of $x$.
Constraint: ${\mathbf{INCX}}>0$.

None.

Not applicable.