# clacrt.f man page

clacrt.f —

## Synopsis

### Functions/Subroutines

subroutineclacrt(N, CX, INCX, CY, INCY, C, S)CLACRTperforms a linear transformation of a pair of complex vectors.

## Function/Subroutine Documentation

### subroutine clacrt (integerN, complex, dimension( * )CX, integerINCX, complex, dimension( * )CY, integerINCY, complexC, complexS)

**CLACRT** performs a linear transformation of a pair of complex vectors.

**Purpose:**

```
CLACRT performs the operation
( c s )( x ) ==> ( x )
( -s c )( y ) ( y )
where c and s are complex and the vectors x and y 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 CX. INCX <> 0.
```

*CY*

```
CY is COMPLEX array, dimension (N)
On input, the vector y.
On output, CY is overwritten with -s*x + c*y.
```

*INCY*

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

*C*

`C is COMPLEX`

*S*

```
S is COMPLEX
C and S define the matrix
[ C S ].
[ -S C ]
```

**Author:**

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**

September 2012

Definition at line 106 of file clacrt.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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