# zrot.f - Man Page

SRC/zrot.f

## Synopsis

### Functions/Subroutines

subroutine **zrot** (n, cx, incx, cy, incy, c, s)**ZROT** applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

## Function/Subroutine Documentation

### subroutine zrot (integer n, complex*16, dimension( * ) cx, integer incx, complex*16, dimension( * ) cy, integer incy, double precision c, complex*16 s)

**ZROT** applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

**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.

**Parameters***N*N is INTEGER The number of elements in the vectors CX and CY.

*CX*CX is COMPLEX*16 array, dimension (N) On input, the vector X. On output, CX is overwritten with C*X + S*Y.

*INCX*INCX is INTEGER The increment between successive values of CX. INCX <> 0.

*CY*CY is COMPLEX*16 array, dimension (N) On input, the vector Y. On output, CY is overwritten with -CONJG(S)*X + C*Y.

*INCY*INCY is INTEGER The increment between successive values of CY. INCX <> 0.

*C*C is DOUBLE PRECISION

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

**Author**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **102** of file **zrot.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zrot(3) is an alias of zrot.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK