# clartv.f man page

clartv.f —

## Synopsis

### Functions/Subroutines

subroutineclartv(N, X, INCX, Y, INCY, C, S, INCC)CLARTVapplies 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

Univ. of Colorado Denver

NAG Ltd.

**Date:**

September 2012

Definition at line 108 of file clartv.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Sat Nov 16 2013 Version 3.4.2 LAPACK