# clar2v.f - Man Page

SRC/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

NAG Ltd.

Definition at line 110 of file clar2v.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page clar2v(3) is an alias of clar2v.f(3).

Tue Nov 28 2023 12:08:41 Version 3.12.0 LAPACK