# zrot.f man page

zrot.f

## Synopsis

### Functions/Subroutines

subroutine zrot (N, CX, INCX, CY, INCY, C, S)
ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

## Function/Subroutine Documentation

### subroutine zrot (integer N, complex*16, dimension( * ) CX, integer INCX, complex*16, dimension( * ) CY, integer INCY, double precision C, complex*16 S)

ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

Purpose:

``` ZROT   applies a plane rotation, where the cos (C) is real and the
sin (S) is complex, and the vectors CX and CY are complex.```
Parameters:

N

```          N is INTEGER
The number of elements in the vectors CX and CY.```

CX

```          CX is COMPLEX*16 array, dimension (N)
On input, the vector X.
On output, CX is overwritten with C*X + S*Y.```

INCX

```          INCX is INTEGER
The increment between successive values of CY.  INCX <> 0.```

CY

```          CY is COMPLEX*16 array, dimension (N)
On input, the vector Y.
On output, CY is overwritten with -CONJG(S)*X + C*Y.```

INCY

```          INCY is INTEGER
The increment between successive values of CY.  INCX <> 0.```

C

`          C is DOUBLE PRECISION`

S

```          S is COMPLEX*16
C and S define a rotation
[  C          S  ]
[ -conjg(S)   C  ]
where C*C + S*CONJG(S) = 1.0.```
Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

December 2016

Definition at line 105 of file zrot.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zrot(3) is an alias of zrot.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK