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# LAPACK-3

## man page of LAPACK-3

### LAPACK-3: applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

```NAME
LAPACK-3  -  applies  a  vector  of  complex  plane rotations with real
cosines to elements of the complex vectors x and y

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

INTEGER        INCC, INCX, INCY, N

DOUBLE         PRECISION C( * )

COMPLEX*16     S( * ), X( * ), Y( * )

PURPOSE
ZLARTV 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*16 array, dimension (1+(N-1)*INCX)
The vector x.

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

Y       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCY)
The vector y.

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

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

S       (input) COMPLEX*16 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.

LAPACK auxiliary routine (versionMarch 2011                       LAPACK-3(3)
```