F06GDF (ZSCAL) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

NAG Library Routine Document

F06GDF (ZSCAL)

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.

+ Contents

    1  Purpose
    7  Accuracy
    9  Example

1  Purpose

F06GDF (ZSCAL) scales a complex vector by a complex scalar.

2  Specification

SUBROUTINE F06GDF ( N, ALPHA, X, INCX)
INTEGER  N, INCX
COMPLEX (KIND=nag_wp)  ALPHA, X(*)
The routine may be called by its BLAS name zscal.

3  Description

F06GDF (ZSCAL) performs the operation
xαx
where x is an n-element complex vector scattered with stride INCX, and α is a complex scalar.

4  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

5  Parameters

1:     N – INTEGERInput
On entry: n, the number of elements in x.
2:     ALPHA – COMPLEX (KIND=nag_wp)Input
On entry: the scalar α.
3:     X(*) – COMPLEX (KIND=nag_wp) arrayInput/Output
Note: the dimension of the array X must be at least max1, 1+N-1 ×INCX .
On entry: the n-element vector x. xi must be stored in X1+i-1×INCX, for i=1,2,,N.
Intermediate elements of X are not referenced.
On exit: the vector αx stored in the array elements used to supply the original vector xy.
Intermediate elements of X are unchanged.
4:     INCX – INTEGERInput
On entry: the increment in the subscripts of X between successive elements of x.
Constraint: INCX>0.

6  Error Indicators and Warnings

None.

7  Accuracy

Not applicable.

8  Further Comments

None.

9  Example

None.

F06GDF (ZSCAL) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2012