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 zlar2v.f(3) LAPACK zlar2v.f(3)

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
NAG Ltd.
Date:
September 2012
Definition at line 112 of file zlar2v.f.

# Author

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