table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlarfg.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlarfg.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlarfg.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZLARFG (n, alpha, x, incx, tau)
ZLARFG generates an elementary reflector (Householder matrix).
Function/Subroutine Documentation¶
subroutine ZLARFG (integer n, complex*16 alpha, complex*16, dimension( * ) x, integer incx, complex*16 tau)¶
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 !> (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. !> !> Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 . !>
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.
Definition at line 105 of file zlarfg.f.
Author¶
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