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zlarfg.f(3) LAPACK zlarfg.f(3)

zlarfg.f -


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.
Date:
September 2012
Definition at line 107 of file zlarfg.f.

Generated automatically by Doxygen for LAPACK from the source code.
Sat Nov 16 2013 Version 3.4.2

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