--- rpl/lapack/lapack/dlarfx.f 2011/07/22 07:38:07 1.8 +++ rpl/lapack/lapack/dlarfx.f 2011/11/21 20:42:57 1.9 @@ -1,10 +1,129 @@ +*> \brief \b DLARFX +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLARFX + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DLARFX( SIDE, M, N, V, TAU, C, LDC, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER SIDE +* INTEGER LDC, M, N +* DOUBLE PRECISION TAU +* .. +* .. Array Arguments .. +* DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DLARFX 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 +*> +*> This version uses inline code if H has order < 11. +*> \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 (M) if SIDE = 'L' +*> or (N) if SIDE = 'R' +*> The vector v in the representation of H. +*> \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. LDA >= (1,M). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension +*> (N) if SIDE = 'L' +*> or (M) if SIDE = 'R' +*> WORK is not referenced if H has order < 11. +*> \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 DLARFX( SIDE, M, N, V, 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 @@ -15,54 +134,6 @@ DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DLARFX 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 -* -* This version uses inline code if H has order < 11. -* -* 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 (M) if SIDE = 'L' -* or (N) if SIDE = 'R' -* The vector v in the representation of H. -* -* 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. LDA >= (1,M). -* -* WORK (workspace) DOUBLE PRECISION array, dimension -* (N) if SIDE = 'L' -* or (M) if SIDE = 'R' -* WORK is not referenced if H has order < 11. -* * ===================================================================== * * .. Parameters ..