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SRC/lapack_64_obj/zlarf1f.f(3) Library Functions Manual SRC/lapack_64_obj/zlarf1f.f(3)

NAME

SRC/lapack_64_obj/zlarf1f.f

SYNOPSIS

Functions/Subroutines


subroutine ZLARF1F (side, m, n, v, incv, tau, c, ldc, work)
ZLARF1F applies an elementary reflector to a general rectangular

Function/Subroutine Documentation

subroutine ZLARF1F (character side, integer m, integer n, complex*16, dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work)

ZLARF1F applies an elementary reflector to a general rectangular

Purpose:

!>
!> ZLARF1F applies a complex elementary reflector H to a real m by n matrix
!> C, from either the left or the right. H is represented in the form
!>
!>       H = I - tau * v * v**H
!>
!> where tau is a complex scalar and v is a complex vector.
!>
!> If tau = 0, then H is taken to be the unit matrix.
!>
!> To apply H**H, supply conjg(tau) instead
!> tau.
!> 

Parameters

SIDE

!>          SIDE is CHARACTER*1
!>          = 'L': form  H * C
!>
!> \param[in] M
!> \verbatim
!>          M is INTEGER
!>          The number of rows of the matrix C.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrix C.
!> 

V

!>          V is COMPLEX*16 array, dimension
!>                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'
!>                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
!>          The vector v in the representation of H. V is not used if
!>          TAU = 0. V(1) is not referenced or modified.
!> 

INCV

!>          INCV is INTEGER
!>          The increment between elements of v. INCV <> 0.
!> 

TAU

!>          TAU is COMPLEX*16
!>          The value tau in the representation of H.
!> 

C

!>          C is COMPLEX*16 array, dimension (LDC,N)
!>          On entry, the m by n matrix C.
!>          On exit, C is overwritten by the matrix H * C if SIDE = 'L',
!>          or C * H if SIDE = 'R'.
!> 

LDC

!>          LDC is INTEGER
!>          The leading dimension of the array C. LDC >= max(1,M).
!> 

WORK

!>          WORK is COMPLEX*16 array, dimension
!>                         (N) if SIDE = 'L'
!>                      or (M) if SIDE = 'R'
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 159 of file zlarf1f.f.

Author

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Version 3.12.1 LAPACK