CLARFG man page on IRIX

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CLARFG(3F)							    CLARFG(3F)

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

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

	 INTEGER	INCX, N

	 COMPLEX	ALPHA, TAU

	 COMPLEX	X( * )

PURPOSE
     CLARFG generates a complex elementary reflector H of order n, such that
		(   x	)   (	0  )

     where alpha and beta are scalars, with beta real, 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.

									Page 1

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