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

ZLARFG(l)					)					ZLARFG(l)

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

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

	   INTEGER	  INCX, N

	   COMPLEX*16	  ALPHA, TAU

	   COMPLEX*16	  X( * )

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

       where  alpha  and beta are scalars, with beta real, and x is an (n-1)-element complex vec-
       tor. 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*16
	       On entry, the value alpha.  On exit, it is overwritten with the value beta.

       X       (input/output) COMPLEX*16 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*16
	       The value tau.

LAPACK version 3.0			   15 June 2000 				ZLARFG(l)


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