zlarfgp.f - Online Linux Manual PageSection : 3
Updated : Tue Nov 14 2017
Source : Version 3.8.0
Note : LAPACK
NAMEzlarfgp.f
SYNOPSIS
Functions/Subroutinessubroutine zlarfgp (N, ALPHA, X, INCX, TAU)
ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.
Function/Subroutine Documentation
subroutine zlarfgp (integer N, complex*16 ALPHA, complex*16, dimension( * ) X, integer INCX, complex*16 TAU)ZLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. Purpose: ZLARFGP 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, beta is real and non-negative, 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.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: November 2017 Definition at line 106 of file zlarfgp.f.
AuthorGenerated automatically by Doxygen for LAPACK from the source code. 0
Johanes Gumabo
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