version 1.5, 2010/08/07 13:22:22
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version 1.8, 2011/11/21 20:43:00
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*> \brief \b DOPMTR |
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* |
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* =========== DOCUMENTATION =========== |
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* |
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* Online html documentation available at |
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* http://www.netlib.org/lapack/explore-html/ |
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* |
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*> \htmlonly |
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*> Download DOPMTR + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dopmtr.f"> |
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*> [TGZ]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dopmtr.f"> |
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*> [ZIP]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dopmtr.f"> |
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*> [TXT]</a> |
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*> \endhtmlonly |
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* |
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* Definition: |
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* =========== |
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* |
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* SUBROUTINE DOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, |
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* INFO ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER SIDE, TRANS, UPLO |
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* INTEGER INFO, LDC, M, N |
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* .. |
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* .. Array Arguments .. |
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* DOUBLE PRECISION AP( * ), C( LDC, * ), TAU( * ), WORK( * ) |
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* .. |
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* |
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* |
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*> \par Purpose: |
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* ============= |
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*> |
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*> \verbatim |
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*> |
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*> DOPMTR overwrites the general real M-by-N matrix C with |
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*> |
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*> SIDE = 'L' SIDE = 'R' |
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*> TRANS = 'N': Q * C C * Q |
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*> TRANS = 'T': Q**T * C C * Q**T |
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*> |
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*> where Q is a real orthogonal matrix of order nq, with nq = m if |
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*> SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of |
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*> nq-1 elementary reflectors, as returned by DSPTRD using packed |
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*> storage: |
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*> |
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*> if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); |
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*> |
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*> if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). |
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*> \endverbatim |
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* |
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* Arguments: |
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* ========== |
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* |
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*> \param[in] SIDE |
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*> \verbatim |
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*> SIDE is CHARACTER*1 |
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*> = 'L': apply Q or Q**T from the Left; |
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*> = 'R': apply Q or Q**T from the Right. |
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*> \endverbatim |
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*> |
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*> \param[in] UPLO |
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*> \verbatim |
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*> UPLO is CHARACTER*1 |
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*> = 'U': Upper triangular packed storage used in previous |
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*> call to DSPTRD; |
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*> = 'L': Lower triangular packed storage used in previous |
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*> call to DSPTRD. |
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*> \endverbatim |
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*> |
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*> \param[in] TRANS |
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*> \verbatim |
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*> TRANS is CHARACTER*1 |
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*> = 'N': No transpose, apply Q; |
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*> = 'T': Transpose, apply Q**T. |
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*> \endverbatim |
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*> |
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*> \param[in] M |
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*> \verbatim |
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*> M is INTEGER |
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*> The number of rows of the matrix C. M >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in] N |
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*> \verbatim |
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*> N is INTEGER |
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*> The number of columns of the matrix C. N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in] AP |
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*> \verbatim |
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*> AP is DOUBLE PRECISION array, dimension |
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*> (M*(M+1)/2) if SIDE = 'L' |
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*> (N*(N+1)/2) if SIDE = 'R' |
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*> The vectors which define the elementary reflectors, as |
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*> returned by DSPTRD. AP is modified by the routine but |
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*> restored on exit. |
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*> \endverbatim |
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*> |
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*> \param[in] TAU |
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*> \verbatim |
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*> TAU is DOUBLE PRECISION array, dimension (M-1) if SIDE = 'L' |
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*> or (N-1) if SIDE = 'R' |
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*> TAU(i) must contain the scalar factor of the elementary |
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*> reflector H(i), as returned by DSPTRD. |
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*> \endverbatim |
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*> |
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*> \param[in,out] C |
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*> \verbatim |
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*> C is DOUBLE PRECISION array, dimension (LDC,N) |
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*> On entry, the M-by-N matrix C. |
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*> On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. |
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*> \endverbatim |
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*> |
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*> \param[in] LDC |
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*> \verbatim |
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*> LDC is INTEGER |
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*> The leading dimension of the array C. LDC >= max(1,M). |
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*> \endverbatim |
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*> |
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*> \param[out] WORK |
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*> \verbatim |
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*> WORK is DOUBLE PRECISION array, dimension |
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*> (N) if SIDE = 'L' |
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*> (M) if SIDE = 'R' |
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*> \endverbatim |
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*> |
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*> \param[out] INFO |
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*> \verbatim |
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*> INFO is INTEGER |
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*> = 0: successful exit |
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*> < 0: if INFO = -i, the i-th argument had an illegal value |
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*> \endverbatim |
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* |
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* Authors: |
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* ======== |
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* |
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*> \author Univ. of Tennessee |
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*> \author Univ. of California Berkeley |
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*> \author Univ. of Colorado Denver |
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*> \author NAG Ltd. |
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* |
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*> \date November 2011 |
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* |
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*> \ingroup doubleOTHERcomputational |
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* |
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* ===================================================================== |
SUBROUTINE DOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, |
SUBROUTINE DOPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, |
$ INFO ) |
$ INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- 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..-- |
* November 2006 |
* November 2011 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER SIDE, TRANS, UPLO |
CHARACTER SIDE, TRANS, UPLO |
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DOUBLE PRECISION AP( * ), C( LDC, * ), TAU( * ), WORK( * ) |
DOUBLE PRECISION AP( * ), C( LDC, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* DOPMTR overwrites the general real M-by-N matrix C with |
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* |
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* SIDE = 'L' SIDE = 'R' |
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* TRANS = 'N': Q * C C * Q |
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* TRANS = 'T': Q**T * C C * Q**T |
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* |
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* where Q is a real orthogonal matrix of order nq, with nq = m if |
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* SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of |
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* nq-1 elementary reflectors, as returned by DSPTRD using packed |
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* storage: |
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* |
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* if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); |
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* |
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* if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). |
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* |
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* Arguments |
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* ========= |
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* |
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* SIDE (input) CHARACTER*1 |
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* = 'L': apply Q or Q**T from the Left; |
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* = 'R': apply Q or Q**T from the Right. |
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* |
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* UPLO (input) CHARACTER*1 |
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* = 'U': Upper triangular packed storage used in previous |
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* call to DSPTRD; |
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* = 'L': Lower triangular packed storage used in previous |
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* call to DSPTRD. |
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* |
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* TRANS (input) CHARACTER*1 |
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* = 'N': No transpose, apply Q; |
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* = 'T': Transpose, apply Q**T. |
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* |
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* M (input) INTEGER |
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* The number of rows of the matrix C. M >= 0. |
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* |
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* N (input) INTEGER |
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* The number of columns of the matrix C. N >= 0. |
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* |
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* AP (input) DOUBLE PRECISION array, dimension |
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* (M*(M+1)/2) if SIDE = 'L' |
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* (N*(N+1)/2) if SIDE = 'R' |
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* The vectors which define the elementary reflectors, as |
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* returned by DSPTRD. AP is modified by the routine but |
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* restored on exit. |
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* |
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* TAU (input) DOUBLE PRECISION array, dimension (M-1) if SIDE = 'L' |
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* or (N-1) if SIDE = 'R' |
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* TAU(i) must contain the scalar factor of the elementary |
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* reflector H(i), as returned by DSPTRD. |
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* |
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* C (input/output) DOUBLE PRECISION array, dimension (LDC,N) |
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* On entry, the M-by-N matrix C. |
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* On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. |
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* |
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* LDC (input) INTEGER |
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* The leading dimension of the array C. LDC >= max(1,M). |
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* |
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* WORK (workspace) DOUBLE PRECISION array, dimension |
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* (N) if SIDE = 'L' |
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* (M) if SIDE = 'R' |
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* |
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* INFO (output) INTEGER |
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* = 0: successful exit |
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* < 0: if INFO = -i, the i-th argument had an illegal value |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |