NAG Library Function Document

nag_zrscl (f06kec)

+− Contents

1 Purpose

9 Example

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

#include <nag.h>

#include <nagf06.h>

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

nag_zrscl (f06kec) performs the operation

x \leftarrow \frac{1}{α} x

where

x

is an

n

-element complex vector and

α

is a real nonzero scalar scattered with stride incx.

None.

1: n – IntegerInput: On entry: $n$ , the number of elements in $x$ .
2: alpha – doubleInput: On entry: the scalar $α$ .
Constraint: $alpha \neq 0.0$ .
3: x[ $\dim$ ] – ComplexInput/Output: Note: the dimension, dim, of the array x must be at least $\max (1, 1 + (n - 1) \times incx)$ .
On entry: the $n$ -element vector $x$ . $x_{i}$ must be stored in $x [1 + (i - 1) \times incx]$ , for $i = 1, 2, \dots, n$ .
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: $incx > 0$ .