version 1.8, 2011/07/22 07:38:08
|
version 1.17, 2018/05/29 07:18:01
|
Line 1
|
Line 1
|
|
*> \brief \b DLATZM |
|
* |
|
* =========== DOCUMENTATION =========== |
|
* |
|
* Online html documentation available at |
|
* http://www.netlib.org/lapack/explore-html/ |
|
* |
|
*> \htmlonly |
|
*> Download DLATZM + dependencies |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatzm.f"> |
|
*> [TGZ]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatzm.f"> |
|
*> [ZIP]</a> |
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatzm.f"> |
|
*> [TXT]</a> |
|
*> \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 This routine is deprecated and has been replaced by routine DORMRZ.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 December 2016 |
|
* |
|
*> \ingroup doubleOTHERcomputational |
|
* |
|
* ===================================================================== |
SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK ) |
SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK ) |
* |
* |
* -- LAPACK routine (version 3.3.1) -- |
* -- LAPACK computational routine (version 3.7.0) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- April 2011 -- |
* December 2016 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER SIDE |
CHARACTER SIDE |
Line 14
|
Line 165
|
DOUBLE PRECISION C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * ) |
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 .. |
* .. Parameters .. |