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SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
*
* -- LAPACK auxiliary routine (version 3.1) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
* November 2006
*
* .. Scalar Arguments ..
CHARACTER SIDE
INTEGER INCV, LDC, M, N
DOUBLE PRECISION TAU
* ..
* .. Array Arguments ..
DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
* ..
*
* Purpose
* =======
*
* DLARF 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'
*
* where tau is a real scalar and v is a real vector.
*
* If tau = 0, then H is taken to be the unit matrix.
*
* Arguments
* =========
*
* SIDE (input) CHARACTER*1
* = 'L': form H * C
* = 'R': form C * H
*
* M (input) INTEGER
* The number of rows of the matrix C.
*
* N (input) INTEGER
* The number of columns of the matrix C.
*
* V (input) DOUBLE PRECISION 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 (input) INTEGER
* The increment between elements of v. INCV <> 0.
*
* TAU (input) DOUBLE PRECISION
* The value tau in the representation of H.
*
* C (input/output) DOUBLE PRECISION 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 (input) INTEGER
* The leading dimension of the array C. LDC >= max(1,M).
*
* WORK (workspace) DOUBLE PRECISION array, dimension
* (N) if SIDE = 'L'
* or (M) if SIDE = 'R'
*
* =====================================================================
*
* .. Parameters ..
DOUBLE PRECISION ONE, ZERO
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
* ..
* .. External Subroutines ..
EXTERNAL DGEMV, DGER
* ..
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* ..
* .. Executable Statements ..
*
IF( LSAME( SIDE, 'L' ) ) THEN
*
* Form H * C
*
IF( TAU.NE.ZERO ) THEN
*
* w := C' * v
*
CALL DGEMV( 'Transpose', M, N, ONE, C, LDC, V, INCV, ZERO,
$ WORK, 1 )
*
* C := C - v * w'
*
CALL DGER( M, N, -TAU, V, INCV, WORK, 1, C, LDC )
END IF
ELSE
*
* Form C * H
*
IF( TAU.NE.ZERO ) THEN
*
* w := C * v
*
CALL DGEMV( 'No transpose', M, N, ONE, C, LDC, V, INCV,
$ ZERO, WORK, 1 )
*
* C := C - w * v'
*
CALL DGER( M, N, -TAU, WORK, 1, V, INCV, C, LDC )
END IF
END IF
RETURN
*
* End of DLARF
*
END
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