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.