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dlarfg.f(3) LAPACK dlarfg.f(3)

NAME

dlarfg.f -

SYNOPSIS

Functions/Subroutines


subroutine dlarfg (N, ALPHA, X, INCX, TAU)
 
DLARFG generates an elementary reflector (Householder matrix).

Function/Subroutine Documentation

subroutine dlarfg (integerN, double precisionALPHA, double precision, dimension( * )X, integerINCX, double precisionTAU)

DLARFG generates an elementary reflector (Householder matrix).
Purpose:
 DLARFG 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 DOUBLE PRECISION
          On entry, the value alpha.
          On exit, it is overwritten with the value beta.
X
          X is DOUBLE PRECISION 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 DOUBLE PRECISION
          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 dlarfg.f.

Author

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