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RedHat 9 (Linux i386) - man page for dlarfg (redhat section l)

DLARFG(l)					)					DLARFG(l)

NAME
       DLARFG  -  generate a real elementary reflector H of order n, such that	H * ( alpha ) = (
       beta ), H' * H = I

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

	   INTEGER	  INCX, N

	   DOUBLE	  PRECISION ALPHA, TAU

	   DOUBLE	  PRECISION X( * )

PURPOSE
       DLARFG generates a real elementary reflector H of order n, such that H * (  alpha  )  =	(
       beta ), H' * H = I.	     (	 x   )	 (   0	)

       where  alpha and beta are scalars, and x is an (n-1)-element real vector. H is represented
       in the form

	     H = I - tau * ( 1 ) * ( 1 v' ) ,
			   ( v )

       where tau is a real scalar and v is a real (n-1)-element
       vector.

       If the elements of x are all zero, then tau = 0 and H is taken to be the unit matrix.

       Otherwise  1 <= tau <= 2.

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

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

       X       (input/output) DOUBLE PRECISION 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) DOUBLE PRECISION
	       The value tau.

LAPACK version 3.0			   15 June 2000 				DLARFG(l)


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