subroutine zlarfg (n, alpha, x, incx, tau)
  
  ZLARFG generates an elementary reflector (Householder matrix).
  
ZLARFG generates an elementary reflector (Householder
    matrix).
Purpose:
 ZLARFG 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, with beta real, 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.
 Otherwise  1 <= real(tau) <= 2  and  abs(tau-1) <= 1 .
 
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 105 of file zlarfg.f.
Generated automatically by Doxygen for LAPACK from the source
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