# zlar2v (3) - Linux Manuals

zlar2v.f -

## SYNOPSIS

### Functions/Subroutines

subroutine zlar2v (N, X, Y, Z, INCX, C, S, INCC)
ZLAR2V 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 zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX, double precision, dimension( * )C, complex*16, dimension( * )S, integerINCC)

ZLAR2V 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:

``` ZLAR2V 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*16 array, dimension (1+(N-1)*INCX)
The vector x; the elements of x are assumed to be real.
```

Y

```          Y is COMPLEX*16 array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.
```

Z

```          Z is COMPLEX*16 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 DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.
```

S

```          S is COMPLEX*16 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