# zlacrt.f (3) - Linux Man Pages

zlacrt.f -

## SYNOPSIS

### Functions/Subroutines

subroutine zlacrt (N, CX, INCX, CY, INCY, C, S)
ZLACRT performs 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