clar2v(3F)

NAME
     CLAR2V - applie a vector of complex plane rotations with real cosines
     from both sides to a sequence of 2-by-2 complex Hermitian matrices,

SYNOPSIS
     SUBROUTINE CLAR2V( N, X, Y, Z, INCX, C, S, INCC )

         INTEGER        INCC, INCX, N

         REAL           C( * )

         COMPLEX        S( * ), X( * ), Y( * ), Z( * )

PURPOSE
     CLAR2V applies a vector of complex plane rotations with real cosines from
     both sides to a sequence of 2-by-2 complex Hermitian matrices, defined by
     the elements of the vectors x, y and z. For i = 1,2,...,n

        (       x(i)  z(i) ) :=
        ( conjg(z(i)) y(i) )

          (  c(i) conjg(s(i)) ) (       x(i)  z(i) ) ( c(i) -conjg(s(i)) )
          ( -s(i)       c(i)  ) ( conjg(z(i)) y(i) ) ( s(i)        c(i)  )


ARGUMENTS
     N       (input) INTEGER
             The number of plane rotations to be applied.

     X       (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
             The vector x; the elements of x are assumed to be real.

     Y       (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
             The vector y; the elements of y are assumed to be real.

     Z       (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
             The vector z.

     INCX    (input) INTEGER
             The increment between elements of X, Y and Z. INCX > 0.

     C       (input) REAL array, dimension (1+(N-1)*INCC)
             The cosines of the plane rotations.

     S       (input) COMPLEX array, dimension (1+(N-1)*INCC)
             The sines of the plane rotations.

     INCC    (input) INTEGER
             The increment between elements of C and S. INCC > 0.