ZLAR2V (3lapack)

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 ZLAR2V( N, X, Y, Z, INCX, C, S, INCC )

      INTEGER        INCC, INCX, N

      DOUBLE         PRECISION C( * )

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

PURPOSE

  ZLAR2V 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*16 array, dimension (1+(N-1)*INCX)
          The vector x; the elements of x are assumed to be real.

  Y       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)
          The vector y; the elements of y are assumed to be real.

  Z       (input/output) COMPLEX*16 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) 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.