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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