# clartv (3) - Linux Manuals

clartv.f -

## SYNOPSIS

### Functions/Subroutines

subroutine clartv (N, X, INCX, Y, INCY, C, S, INCC)
CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

## Function/Subroutine Documentation

### subroutine clartv (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, real, dimension( * )C, complex, dimension( * )S, integerINCC)

CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

Purpose:

``` CLARTV applies a vector of complex plane rotations with real cosines
to elements of the complex vectors x and y. For i = 1,2,...,n

( x(i) ) := (        c(i)   s(i) ) ( x(i) )
( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
```

Parameters:

N

```          N is INTEGER
The number of plane rotations to be applied.
```

X

```          X is COMPLEX array, dimension (1+(N-1)*INCX)
The vector x.
```

INCX

```          INCX is INTEGER
The increment between elements of X. INCX > 0.
```

Y

```          Y is COMPLEX array, dimension (1+(N-1)*INCY)
The vector y.
```

INCY

```          INCY is INTEGER
The increment between elements of Y. INCY > 0.
```

C

```          C is REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.
```

S

```          S is COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.
```

INCC

```          INCC is INTEGER
The increment between elements of C and S. INCC > 0.
```

Author:

Univ. of Tennessee

Univ. of California Berkeley