ZLARTV(3)                  MathKeisan LAPACK routine                 ZLARTV(3)



NAME
       ZLARTV  - a vector of complex plane rotations with real cosines to ele-
       ments of the complex vectors x and y

SYNOPSIS
       SUBROUTINE ZLARTV( N, X, INCX, Y, INCY, C, S, INCC )

           INTEGER        INCC, INCX, INCY, N

           DOUBLE         PRECISION C( * )

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

PURPOSE
       ZLARTV applies a vector of complex plane rotations with real cosines to
       elements of the complex vectors x and y. For i = 1,2,...,n

          ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
          ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )


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

       X       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)
               The vector x.

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

       Y       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCY)
               The vector y.

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

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

       S       (input) COMPLEX*16 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.



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