# zlacrt.f man page

zlacrt.f —

## Synopsis

### Functions/Subroutines

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

## Function/Subroutine Documentation

### subroutine zlacrt (integerN, complex*16, dimension( * )CX, integerINCX, complex*16, dimension( * )CY, integerINCY, complex*16C, complex*16S)

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

**Purpose:**

```
ZLACRT 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*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 -s*x + c*y.
```

*INCY*

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

*C*

`C is COMPLEX*16`

*S*

```
S is COMPLEX*16
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 zlacrt.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Sat Nov 16 2013 Version 3.4.2 LAPACK