# clar2v.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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clar2v.f

## SYNOPSIS

### Functions/Subroutines

subroutine clar2v (N, X, Y, Z, INCX, C, S, INCC)
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.

## Function/Subroutine Documentation

### subroutine clar2v (integer N, complex, dimension( * ) X, complex, dimension( * ) Y, complex, dimension( * ) Z, integer INCX, real, dimension( * ) C, complex, dimension( * ) S, integer INCC)

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:

December 2016

Definition at line 113 of file clar2v.f.

## Author

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