# zrot (3) - Linux Man Pages

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 (integerN, complex*16, dimension( * )CX, integerINCX, complex*16, dimension( * )CY, integerINCY, double precisionC, complex*16S)

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