zlar2v man page on Scientific

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ZLAR2V(1)	    LAPACK auxiliary routine (version 3.2)	     ZLAR2V(1)

NAME
       ZLAR2V  - applies 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.

 LAPACK auxiliary routine (versioNovember 2008			     ZLAR2V(1)
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