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

# zrot(3lapack)

applies a plane rotation, where the cos (C) is real and the sin (S) is complex, and the vectors CX and CY are complex

## NAME

ZROT - applies a plane rotation, where the cos (C) is real and the sin (S) is complex, and the vectors CX and CY are complex

## SYNOPSIS

- SUBROUTINE ZROT(

  N, CX, INCX, CY, INCY, C, S )

- INTEGER

  INCX, INCY, N

- DOUBLE

  PRECISION C

- COMPLEX\*16

  S

- COMPLEX\*16

  CX( \* ), CY( \* )

## PURPOSE

ZROT   applies a plane rotation, where the cos (C) is real and the sin (S) is complex, and the vectors CX and CY are complex.

## ARGUMENTS

- N (input) INTEGER

  The number of elements in the vectors CX and CY.

- CX (input/output) COMPLEX\*16 array, dimension (N)

  On input, the vector X. On output, CX is overwritten with C\*X + S\*Y.

- INCX (input) INTEGER

  The increment between successive values of CY.  INCX \<\> 0.

- CY (input/output) COMPLEX\*16 array, dimension (N)

  On input, the vector Y. On output, CY is overwritten with -CONJG(S)\*X + C\*Y.

- INCY (input) INTEGER

  The increment between successive values of CY.  INCX \<\> 0.

- C (input) DOUBLE PRECISION

  S       (input) COMPLEX\*16 C and S define a rotation \[  C          S  \] \[ -conjg(S)   C  \] where C\*C + S\*CONJG(S) = 1.0.