NAME

       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 CY.  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.

       Date:
           September 2012

Author

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