DLARFG man page on IRIX

DLARFG man page on IRIX

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DLARFG(3F)							    DLARFG(3F)

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
	       (   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.

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