# clar2v.f man page

clar2v.f —

## Synopsis

### Functions/Subroutines

subroutineclar2v(N, X, Y, Z, INCX, C, S, INCC)CLAR2Vapplies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

## Function/Subroutine Documentation

### subroutine clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX, real, dimension( * )C, complex, dimension( * )S, integerINCC)

**CLAR2V** applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

**Purpose:**

```
CLAR2V applies a vector of complex plane rotations with real cosines
from both sides to a sequence of 2-by-2 complex Hermitian matrices,
defined by the elements of the vectors x, y and z. For i = 1,2,...,n
( x(i) z(i) ) :=
( conjg(z(i)) y(i) )
( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) )
( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(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; the elements of x are assumed to be real.
```

*Y*

```
Y is COMPLEX array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.
```

*Z*

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

*INCX*

```
INCX is INTEGER
The increment between elements of X, Y and Z. INCX > 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 112 of file clar2v.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

clar2v(3) is an alias of clar2v.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK