clarfp man page on Scientific

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```CLARFP(1)	    LAPACK auxiliary routine (version 3.2)	     CLARFP(1)

NAME
CLARFP  -  generates  a complex elementary reflector H of order n, such
that   H' * ( alpha ) = ( beta ), H' * H = I

SYNOPSIS
SUBROUTINE CLARFP( N, ALPHA, X, INCX, TAU )

INTEGER	  INCX, N

COMPLEX	  ALPHA, TAU

COMPLEX	  X( * )

PURPOSE
CLARFP generates a complex elementary reflector H of order n, such that
(   x	  )   (	  0  )
where alpha and beta are scalars, beta is real and non-negative, and  x
is an (n-1)-element complex vector.  H is represented in the form
H = I - tau * ( 1 ) * ( 1 v' ) ,
( v )
where  tau is a complex scalar and v is a complex (n-1)-element vector.
Note that H is not hermitian.
If the elements of x are all zero and alpha is real, then tau = 0 and H
is taken to be the unit matrix.
Otherwise  1 <= real(tau) <= 2  and  abs(tau-1) <= 1 .

ARGUMENTS
N       (input) INTEGER
The order of the elementary reflector.

ALPHA   (input/output) COMPLEX
On entry, the value alpha.  On exit, it is overwritten with the
value beta.

X       (input/output) COMPLEX array, dimension
(1+(N-2)*abs(INCX)) On entry, the vector x.   On	 exit,	it  is
overwritten with the vector v.

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

TAU     (output) COMPLEX
The value tau.

LAPACK auxiliary routine (versioNovember 2008			     CLARFP(1)
```
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