slarfgp(3) [debian man page]

slarfgp.f(3)							      LAPACK							      slarfgp.f(3)

NAME

       slarfgp.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slarfgp (N, ALPHA, X, INCX, TAU)
	   SLARFGP

Function/Subroutine Documentation
   subroutine slarfgp (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU)
       SLARFGP

       Purpose:

	    SLARFGP generates a real elementary reflector H of order n, such
	    that

		  H * ( alpha ) = ( beta ),   H**T * H = I.
		      (   x   )   (   0  )

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

		  H = I - tau * ( 1 ) * ( 1 v**T ) ,
				( 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.

       Parameters:
	   N

		     N is INTEGER
		     The order of the elementary reflector.

	   ALPHA

		     ALPHA is REAL
		     On entry, the value alpha.
		     On exit, it is overwritten with the value beta.

	   X

		     X is REAL 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 REAL
		     The value tau.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 105 of file slarfgp.f.

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

Version 3.4.1							  Sun May 26 2013						      slarfgp.f(3)

slarfg.f(3)							      LAPACK							       slarfg.f(3)

NAME

       slarfg.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slarfg (N, ALPHA, X, INCX, TAU)
	   SLARFG generates an elementary reflector (Householder matrix).

Function/Subroutine Documentation
   subroutine slarfg (integerN, realALPHA, real, dimension( * )X, integerINCX, realTAU)
       SLARFG generates an elementary reflector (Householder matrix).

       Purpose:

	    SLARFG generates a real elementary reflector H of order n, such
	    that

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

       Parameters:
	   N

		     N is INTEGER
		     The order of the elementary reflector.

	   ALPHA

		     ALPHA is REAL
		     On entry, the value alpha.
		     On exit, it is overwritten with the value beta.

	   X

		     X is REAL 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 REAL
		     The value tau.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 107 of file slarfg.f.

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

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