SRC/slarfgp.f(3)           Library Functions Manual           SRC/slarfgp.f(3)

NAME
       SRC/slarfgp.f

SYNOPSIS
   Functions/Subroutines
       subroutine slarfgp (n, alpha, x, incx, tau)
           SLARFGP generates an elementary reflector (Householder matrix) with
           non-negative beta.

Function/Subroutine Documentation
   subroutine slarfgp (integer n, real alpha, real, dimension( * ) x, integer
       incx, real tau)
       SLARFGP generates an elementary reflector (Householder matrix) with
       non-negative beta.

       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.

       Definition at line 103 of file slarfgp.f.

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

LAPACK                          Version 3.12.0                SRC/slarfgp.f(3)