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

SRC/slarfg.f


subroutine slarfg (n, alpha, x, incx, tau)
SLARFG generates an elementary reflector (Householder matrix).

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.

Definition at line 105 of file slarfg.f.

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