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

NAME
       SRC/zlarfgp.f

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

Function/Subroutine Documentation
   subroutine zlarfgp (integer n, complex*16 alpha, complex*16, dimension( * )
       x, integer incx, complex*16 tau)
       ZLARFGP generates an elementary reflector (Householder matrix) with
       non-negative 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.

       Definition at line 103 of file zlarfgp.f.

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

LAPACK                          Version 3.12.0                SRC/zlarfgp.f(3)