
NAMEzlarfg.f SYNOPSISFunctions/Subroutinessubroutine zlarfg (N, ALPHA, X, INCX, TAU) Function/Subroutine Documentationsubroutine 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 . N
Author:
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+(N2)*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. Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 107 of file zlarfg.f.
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