---
name: "zlar2v"
section: "3lapack"
platform: "linux"
package: "liblapack-doc"
version: "3.2.1-8"
release: "Debian 6.0 (Squeeze)"
platforms: ["linux"]
url: "https://new.carta.tech/zlar2v/3lapack"
---

# zlar2v(3lapack)

applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,

## NAME

ZLAR2V - applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,

## SYNOPSIS

- SUBROUTINE ZLAR2V(

  N, X, Y, Z, INCX, C, S, INCC )

- INTEGER

  INCC, INCX, N

- DOUBLE

  PRECISION C( \* )

- COMPLEX\*16

  S( \* ), X( \* ), Y( \* ), Z( \* )

## 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)  )

## ARGUMENTS

- N (input) INTEGER

  The number of plane rotations to be applied.

- X (input/output) COMPLEX\*16 array, dimension (1+(N-1)\*INCX)

  The vector x; the elements of x are assumed to be real.

- Y (input/output) COMPLEX\*16 array, dimension (1+(N-1)\*INCX)

  The vector y; the elements of y are assumed to be real.

- Z (input/output) COMPLEX\*16 array, dimension (1+(N-1)\*INCX)

  The vector z.

- INCX (input) INTEGER

  The increment between elements of X, Y and Z. INCX \> 0.

- C (input) DOUBLE PRECISION array, dimension (1+(N-1)\*INCC)

  The cosines of the plane rotations.

- S (input) COMPLEX\*16 array, dimension (1+(N-1)\*INCC)

  The sines of the plane rotations.

- INCC (input) INTEGER

  The increment between elements of C and S. INCC \> 0.