zlarfgp.f(3)							      LAPACK							      zlarfgp.f(3)

NAME

       zlarfgp.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlarfgp (N, ALPHA, X, INCX, TAU)
	   ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta.

Function/Subroutine Documentation
   subroutine zlarfgp (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU)
       ZLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta.

       Purpose:

	    ZLARFGP generates a complex elementary reflector H of order n, such
	    that

		  H**H * ( alpha ) = ( beta ),	 H**H * H = I.
			 (   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**H ) ,
				( 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.

       Parameters:
	   N

		     N is INTEGER
		     The order of the elementary reflector.

	   ALPHA

		     ALPHA is COMPLEX*16
		     On entry, the value alpha.
		     On exit, it is overwritten with the value beta.

	   X

		     X is COMPLEX*16 array, dimension
				    (1+(N-2)*abs(INCX))
		     On entry, the vector x.
		     On exit, it is overwritten with the vector v.

	   INCX

		     INCX is INTEGER
		     The increment between elements of X. INCX > 0.

	   TAU

		     TAU is COMPLEX*16
		     The value tau.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 105 of file zlarfgp.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						      zlarfgp.f(3)