SRC/slarf1f.f(3) Library Functions Manual SRC/slarf1f.f(3)

SRC/slarf1f.f


subroutine slarf1f (side, m, n, v, incv, tau, c, ldc, work)
SLARF1F applies an elementary reflector to a general rectangular

SLARF1F applies an elementary reflector to a general rectangular

Purpose:

!>
!> SLARF1F applies a real 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**T
!>
!> where tau is a real scalar and v is a real vector assuming v(1) = 1.
!>
!> If tau = 0, then H is taken to be the unit matrix.
!> 

Parameters

SIDE
!>          SIDE is CHARACTER*1
!>          = 'L': form  H * C
!>          = 'R': form  C * H
!> 

M

!>          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 REAL 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.
!> 

INCV

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

TAU

!>          TAU is REAL
!>          The value tau in the representation of H.
!> 

C

!>          C is REAL 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 REAL 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 124 of file slarf1f.f.

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