--- rpl/lapack/lapack/dlatzm.f 2011/07/22 07:38:08 1.8 +++ rpl/lapack/lapack/dlatzm.f 2011/11/21 20:43:00 1.9 @@ -1,9 +1,160 @@ +*> \brief \b DLATZM +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLATZM + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER SIDE +* INTEGER INCV, LDC, M, N +* DOUBLE PRECISION TAU +* .. +* .. Array Arguments .. +* DOUBLE PRECISION C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> This routine is deprecated and has been replaced by routine DORMRZ. +*> +*> DLATZM applies a Householder matrix generated by DTZRQF to a matrix. +*> +*> Let P = I - tau*u*u**T, u = ( 1 ), +*> ( v ) +*> where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if +*> SIDE = 'R'. +*> +*> If SIDE equals 'L', let +*> C = [ C1 ] 1 +*> [ C2 ] m-1 +*> n +*> Then C is overwritten by P*C. +*> +*> If SIDE equals 'R', let +*> C = [ C1, C2 ] m +*> 1 n-1 +*> Then C is overwritten by C*P. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] SIDE +*> \verbatim +*> SIDE is CHARACTER*1 +*> = 'L': form P * C +*> = 'R': form C * P +*> \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' +*> (1 + (N-1)*abs(INCV)) if SIDE = 'R' +*> The vector v in the representation of P. 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 P. +*> \endverbatim +*> +*> \param[in,out] C1 +*> \verbatim +*> C1 is DOUBLE PRECISION array, dimension +*> (LDC,N) if SIDE = 'L' +*> (M,1) if SIDE = 'R' +*> On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 +*> if SIDE = 'R'. +*> +*> On exit, the first row of P*C if SIDE = 'L', or the first +*> column of C*P if SIDE = 'R'. +*> \endverbatim +*> +*> \param[in,out] C2 +*> \verbatim +*> C2 is DOUBLE PRECISION array, dimension +*> (LDC, N) if SIDE = 'L' +*> (LDC, N-1) if SIDE = 'R' +*> On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the +*> m x (n - 1) matrix C2 if SIDE = 'R'. +*> +*> On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P +*> if SIDE = 'R'. +*> \endverbatim +*> +*> \param[in] LDC +*> \verbatim +*> LDC is INTEGER +*> The leading dimension of the arrays C1 and C2. LDC >= (1,M). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension +*> (N) if SIDE = 'L' +*> (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 doubleOTHERcomputational +* +* ===================================================================== SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK ) * -* -- LAPACK routine (version 3.3.1) -- +* -- LAPACK computational 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 @@ -14,79 +165,6 @@ DOUBLE PRECISION C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* This routine is deprecated and has been replaced by routine DORMRZ. -* -* DLATZM applies a Householder matrix generated by DTZRQF to a matrix. -* -* Let P = I - tau*u*u**T, u = ( 1 ), -* ( v ) -* where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if -* SIDE = 'R'. -* -* If SIDE equals 'L', let -* C = [ C1 ] 1 -* [ C2 ] m-1 -* n -* Then C is overwritten by P*C. -* -* If SIDE equals 'R', let -* C = [ C1, C2 ] m -* 1 n-1 -* Then C is overwritten by C*P. -* -* Arguments -* ========= -* -* SIDE (input) CHARACTER*1 -* = 'L': form P * C -* = 'R': form C * P -* -* 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' -* (1 + (N-1)*abs(INCV)) if SIDE = 'R' -* The vector v in the representation of P. 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 P. -* -* C1 (input/output) DOUBLE PRECISION array, dimension -* (LDC,N) if SIDE = 'L' -* (M,1) if SIDE = 'R' -* On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 -* if SIDE = 'R'. -* -* On exit, the first row of P*C if SIDE = 'L', or the first -* column of C*P if SIDE = 'R'. -* -* C2 (input/output) DOUBLE PRECISION array, dimension -* (LDC, N) if SIDE = 'L' -* (LDC, N-1) if SIDE = 'R' -* On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the -* m x (n - 1) matrix C2 if SIDE = 'R'. -* -* On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P -* if SIDE = 'R'. -* -* LDC (input) INTEGER -* The leading dimension of the arrays C1 and C2. LDC >= (1,M). -* -* WORK (workspace) DOUBLE PRECISION array, dimension -* (N) if SIDE = 'L' -* (M) if SIDE = 'R' -* * ===================================================================== * * .. Parameters ..