F06HPF (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

NAG Library Routine Document

F06HPF

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

F06HPF applies a real plane rotation to two complex vectors.

2  Specification

SUBROUTINE F06HPF ( N, X, INCX, Y, INCY, C, S)
INTEGER  N, INCX, INCY
COMPLEX (KIND=nag_wp)  X(*), Y(*), C, S

3  Description

F06HPF applies a complex plane rotation to two n-element complex vectors x and y:
xT yT c s -s- c- xT yT .

4  References

None.

5  Parameters

1:     N – INTEGERInput
On entry: n, the number of elements in x and y.
2:     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.
If INCX>0, xi must be stored in X1+i-1×INCX, for i=1,2,,N.
If INCX<0, xi must be stored in X1-N-i×INCX, for i=1,2,,N.
Intermediate elements of X are not referenced.
On exit: the transformed vector x stored in the array elements used to supply the original vector x.
Intermediate elements of X are unchanged.
3:     INCX – INTEGERInput
On entry: the increment in the subscripts of X between successive elements of x.
4:     Y(*) – COMPLEX (KIND=nag_wp) arrayInput/Output
Note: the dimension of the array Y must be at least max1, 1+N-1 ×INCY .
On entry: the n-element vector y.
If INCY>0, yi must be stored in Y1+i-1×INCY, for i=1,2,,N.
If INCY<0, yi must be stored in Y1-N-i×INCY, for i=1,2,,N.
Intermediate elements of Y are not referenced.
On exit: the transformed vector y.
Intermediate elements of Y are unchanged.
5:     INCY – INTEGERInput
On entry: the increment in the subscripts of Y between successive elements of y.
6:     C – COMPLEX (KIND=nag_wp)Input
On entry: the value c, the cosine of the rotation.
7:     S – COMPLEX (KIND=nag_wp)Input
On entry: the value s, the sine of the rotation.

6  Error Indicators and Warnings

None.

7  Accuracy

Not applicable.

8  Further Comments

None.

9  Example

None.

F06HPF (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual

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