CROT(3)                    MathKeisan LAPACK routine                   CROT(3)



NAME
       CROT  -  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 CROT( N, CX, INCX, CY, INCY, C, S )

           INTEGER      INCX, INCY, N

           REAL         C

           COMPLEX      S

           COMPLEX      CX( * ), CY( * )

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.


ARGUMENTS
       N       (input) INTEGER
               The number of elements in the vectors CX and CY.

       CX      (input/output) COMPLEX 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 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) REAL
               S        (input)  COMPLEX  C  and  S  define  a  rotation  [  C
               S  ] [ -conjg(S)   C  ] where C*C + S*CONJG(S) = 1.0.



 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                         CROT(3)