# clacrt.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine clacrt (N, CX, INCX, CY, INCY, C, S)
CLACRT performs a linear transformation of a pair of complex vectors.

## Function/Subroutine Documentation

### subroutine clacrt (integer N, complex, dimension( * ) CX, integer INCX, complex, dimension( * ) CY, integer INCY, complex C, complex S)

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:

December 2016

Definition at line 107 of file clacrt.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 14 2017 Version 3.8.0 LAPACK