clargv man page on Scientific

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

NAME
       CLARGV  -  generates  a	vector	of  complex  plane rotations with real
       cosines, determined by elements of the complex vectors x and y

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

	   INTEGER	  INCC, INCX, INCY, N

	   REAL		  C( * )

	   COMPLEX	  X( * ), Y( * )

PURPOSE
       CLARGV generates a vector of complex plane rotations with real cosines,
       determined  by  elements	 of  the  complex  vectors  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  CLARTG,
       but differ from the BLAS1 routine CROTG):
	  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 array, dimension (1+(N-1)*INCX)
	       On  entry, the vector x.	 On exit, x(i) is overwritten by r(i),
	       for i = 1,...,n.

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

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

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

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

       INCC    (input) INTEGER
	       The increment between elements of C. INCC > 0.

FURTHER DETAILS
       6-6-96  -  Modified with a new algorithm by W. Kahan and J. Demmel This
       version has a few statements commented out for thread  safety  (machine
       parameters are computed on each entry). 10 feb 03, SJH.

 LAPACK auxiliary routine (versioNovember 2008			     CLARGV(1)
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