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

# zlartv(3lapack)

applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

## NAME

ZLARTV - applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

## SYNOPSIS

- SUBROUTINE ZLARTV(

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

- INTEGER

  INCC, INCX, INCY, N

- DOUBLE

  PRECISION C( \* )

- COMPLEX\*16

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

## PURPOSE

ZLARTV applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y. For i = 1,2,...,n\
    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )\
\
    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(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.

- INCX (input) INTEGER

  The increment between elements of X. INCX \> 0.

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

  The vector y.

- INCY (input) INTEGER

  The increment between elements of Y. INCY \> 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.