# crot.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine **crot** (**N**, CX, INCX, CY, INCY, C, S)**CROT** applies a plane rotation with real cosine and complex sine to a pair of complex vectors.

## Function/Subroutine Documentation

### subroutine crot (integer N, complex, dimension( * ) CX, integer INCX, complex, dimension( * ) CY, integer INCY, real C, complex S)

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

**Purpose:**

CROT 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 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 CY. INCX <> 0.

*CY*CY is COMPLEX 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 REAL

*S*S is COMPLEX 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.

**Date:**December 2016

Definition at line 105 of file crot.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 14 2017 Version 3.8.0 LAPACK