# crot.f man page

crot.f —

## Synopsis

### Functions/Subroutines

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

## Function/Subroutine Documentation

### subroutine crot (integerN, complex, dimension( * )CX, integerINCX, complex, dimension( * )CY, integerINCY, realC, complexS)

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

**Purpose:**

```
CROT 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 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 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 REAL`

*S*

```
S is COMPLEX
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.

**Date:**

September 2012

Definition at line 104 of file crot.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

crot(3) is an alias of crot.f(3).