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# clartv

```
NAME
CLARTV - apply a vector of complex plane rotations with real
cosines to elements of the complex vectors x and y

SYNOPSIS
SUBROUTINE CLARTV( N, X, INCX, Y, INCY, C, S, INCC )

INTEGER        INCC, INCX, INCY, N

REAL           C( * )

COMPLEX        S( * ), X( * ), Y( * )

PURPOSE
CLARTV applies a vector of complex plane rotations with real
cosines to elements of the complex vectors x and y. For i =
1,2,...,n

( x(i) ) := (        c(i)   s(i) ) ( x(i) )
( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

ARGUMENTS
N       (input) INTEGER
The number of plane rotations to be applied.

X       (input/output) COMPLEX array, dimension (1+(N-
1)*INCX)
The vector x.

INCX    (input) INTEGER
The increment between elements of X. INCX > 0.

Y       (input/output) COMPLEX array, dimension (1+(N-
1)*INCY)
The vector y.

INCY    (input) INTEGER
The increment between elements of Y. INCY > 0.

C       (input) REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S       (input) COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.

INCC    (input) INTEGER
The increment between elements of C and S. INCC > 0.
```