zlarfg.f (3)  Linux Manuals
NAME
zlarfg.f 
SYNOPSIS
Functions/Subroutines
subroutine zlarfg (N, ALPHA, X, INCX, TAU)
ZLARFG generates an elementary reflector (Householder matrix).
Function/Subroutine Documentation
subroutine zlarfg (integerN, complex*16ALPHA, complex*16, dimension( * )X, integerINCX, complex*16TAU)
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 (n1)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 (n1)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(tau1) <= 1 .
Parameters:

N
N is INTEGER The order of the elementary reflector.
ALPHAALPHA is COMPLEX*16 On entry, the value alpha. On exit, it is overwritten with the value beta.
XX is COMPLEX*16 array, dimension (1+(N2)*abs(INCX)) On entry, the vector x. On exit, it is overwritten with the vector v.
INCXINCX is INTEGER The increment between elements of X. INCX > 0.
TAUTAU 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.
Author
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