ZLARGV - generate a vector of complex plane rotations with
       real cosines, determined by elements of the  complex  vec­
       tors x and y


SYNOPSIS

       SUBROUTINE ZLARGV( N, X, INCX, Y, INCY, C, INCC )

           INTEGER        INCC, INCX, INCY, N

           DOUBLE         PRECISION C( * )

           COMPLEX*16     X( * ), Y( * )


PURPOSE

       ZLARGV  generates a vector of complex plane rotations with
       real cosines, determined by elements of the  complex  vec­
       tors x and y. For i = 1,2,...,n

          (        c(i)   s(i) ) ( x(i) ) = ( r(i) )
          ( -conjg(s(i))  c(i) ) ( y(i) ) = (   0  )

          where c(i)**2 + ABS(s(i))**2 = 1

       The  following conventions are used (these are the same as
       in ZLARTG, but differ from the BLAS1 routine ZROTG):
          If y(i)=0, then c(i)=1 and s(i)=0.
          If x(i)=0, then c(i)=0 and s(i) is chosen so that  r(i)
       is real.


ARGUMENTS

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

       X       (input/output) COMPLEX*16 array, dimension
               (1+(N-1)*INCX)
               On  entry,  the  vector x.  On exit, x(i) is over­
               written by r(i), for i = 1,...,n.

       INCX    (input) INTEGER
               The increment between elements of X. INCX > 0.

       Y       (input/output) COMPLEX*16 array, dimension
               (1+(N-1)*INCY)
               On entry, the vector y.  On exit, the sines of the
               plane rotations.

       INCY    (input) INTEGER
               The increment between elements of Y. INCY > 0.

       C       (output) DOUBLE PRECISION array, dimension
               (1+(N-1)*INCC)
               The cosines of the plane rotations.

               The increment between elements of C. INCC > 0.


FURTHER DETAILS

       6-6-96  - Modified with a new algorithm by W. Kahan and J.
       Demmel


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