--- rpl/lapack/lapack/dlarf.f 2011/07/22 07:38:07 1.8 +++ rpl/lapack/lapack/dlarf.f 2011/11/21 20:42:57 1.9 @@ -1,10 +1,133 @@ +*> \brief \b DLARF +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLARF + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER SIDE +* INTEGER INCV, LDC, M, N +* DOUBLE PRECISION TAU +* .. +* .. Array Arguments .. +* DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> 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**T +*> +*> where tau is a real scalar and v is a real vector. +*> +*> If tau = 0, then H is taken to be the unit matrix. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] SIDE +*> \verbatim +*> SIDE is CHARACTER*1 +*> = 'L': form H * C +*> = 'R': form C * H +*> \endverbatim +*> +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix C. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix C. +*> \endverbatim +*> +*> \param[in] V +*> \verbatim +*> V is 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. +*> \endverbatim +*> +*> \param[in] INCV +*> \verbatim +*> INCV is INTEGER +*> The increment between elements of v. INCV <> 0. +*> \endverbatim +*> +*> \param[in] TAU +*> \verbatim +*> TAU is DOUBLE PRECISION +*> The value tau in the representation of H. +*> \endverbatim +*> +*> \param[in,out] C +*> \verbatim +*> C is 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'. +*> \endverbatim +*> +*> \param[in] LDC +*> \verbatim +*> LDC is INTEGER +*> The leading dimension of the array C. LDC >= max(1,M). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension +*> (N) if SIDE = 'L' +*> or (M) if SIDE = 'R' +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleOTHERauxiliary +* +* ===================================================================== SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK ) - IMPLICIT NONE * -* -- LAPACK auxiliary routine (version 3.3.1) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* -- April 2011 -- +* November 2011 * * .. Scalar Arguments .. CHARACTER SIDE @@ -15,55 +138,6 @@ 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**T -* -* 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 ..