# zrot.f - Man Page

SRC/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 CX.  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

Univ. of Colorado Denver

NAG Ltd.

Definition at line 102 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 28 2023 12:08:42 Version 3.12.0 LAPACK