version 1.7, 2010/12/21 13:53:58
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version 1.8, 2011/11/21 20:43:24
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*> \brief \b ZUNMHR |
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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 ZUNMHR + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zunmhr.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/zunmhr.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/zunmhr.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 ZUNMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, |
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* LDC, WORK, LWORK, INFO ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER SIDE, TRANS |
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* INTEGER IHI, ILO, INFO, LDA, LDC, LWORK, M, N |
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* .. |
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* .. Array Arguments .. |
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* COMPLEX*16 A( LDA, * ), 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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*> ZUNMHR overwrites the general complex 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 = 'C': Q**H * C C * Q**H |
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*> |
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*> where Q is a complex unitary 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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*> IHI-ILO elementary reflectors, as returned by ZGEHRD: |
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*> |
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*> Q = H(ilo) H(ilo+1) . . . H(ihi-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**H from the Left; |
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*> = 'R': apply Q or Q**H from the Right. |
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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': apply Q (No transpose) |
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*> = 'C': apply Q**H (Conjugate transpose) |
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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] ILO |
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*> \verbatim |
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*> ILO is INTEGER |
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*> \endverbatim |
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*> |
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*> \param[in] IHI |
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*> \verbatim |
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*> IHI is INTEGER |
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*> |
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*> ILO and IHI must have the same values as in the previous call |
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*> of ZGEHRD. Q is equal to the unit matrix except in the |
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*> submatrix Q(ilo+1:ihi,ilo+1:ihi). |
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*> If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and |
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*> ILO = 1 and IHI = 0, if M = 0; |
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*> if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and |
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*> ILO = 1 and IHI = 0, if N = 0. |
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*> \endverbatim |
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*> |
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*> \param[in] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension |
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*> (LDA,M) if SIDE = 'L' |
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*> (LDA,N) if SIDE = 'R' |
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*> The vectors which define the elementary reflectors, as |
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*> returned by ZGEHRD. |
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*> \endverbatim |
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*> |
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*> \param[in] LDA |
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*> \verbatim |
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*> LDA is INTEGER |
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*> The leading dimension of the array A. |
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*> LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. |
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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 COMPLEX*16 array, dimension |
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*> (M-1) if SIDE = 'L' |
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*> (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 ZGEHRD. |
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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 COMPLEX*16 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**H*C or C*Q**H 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 COMPLEX*16 array, dimension (MAX(1,LWORK)) |
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*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK. |
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*> \endverbatim |
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*> |
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*> \param[in] LWORK |
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*> \verbatim |
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*> LWORK is INTEGER |
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*> The dimension of the array WORK. |
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*> If SIDE = 'L', LWORK >= max(1,N); |
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*> if SIDE = 'R', LWORK >= max(1,M). |
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*> For optimum performance LWORK >= N*NB if SIDE = 'L', and |
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*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal |
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*> blocksize. |
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*> |
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*> If LWORK = -1, then a workspace query is assumed; the routine |
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*> only calculates the optimal size of the WORK array, returns |
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*> this value as the first entry of the WORK array, and no error |
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*> message related to LWORK is issued by XERBLA. |
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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 complex16OTHERcomputational |
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* |
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* ===================================================================== |
SUBROUTINE ZUNMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, |
SUBROUTINE ZUNMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, |
$ LDC, WORK, LWORK, INFO ) |
$ LDC, WORK, LWORK, 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 |
CHARACTER SIDE, TRANS |
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COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) |
COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZUNMHR overwrites the general complex 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 = 'C': Q**H * C C * Q**H |
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* |
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* where Q is a complex unitary 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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* IHI-ILO elementary reflectors, as returned by ZGEHRD: |
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* |
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* Q = H(ilo) H(ilo+1) . . . H(ihi-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**H from the Left; |
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* = 'R': apply Q or Q**H from the Right. |
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* |
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* TRANS (input) CHARACTER*1 |
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* = 'N': apply Q (No transpose) |
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* = 'C': apply Q**H (Conjugate transpose) |
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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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* ILO (input) INTEGER |
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* IHI (input) INTEGER |
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* ILO and IHI must have the same values as in the previous call |
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* of ZGEHRD. Q is equal to the unit matrix except in the |
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* submatrix Q(ilo+1:ihi,ilo+1:ihi). |
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* If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and |
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* ILO = 1 and IHI = 0, if M = 0; |
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* if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and |
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* ILO = 1 and IHI = 0, if N = 0. |
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* |
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* A (input) COMPLEX*16 array, dimension |
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* (LDA,M) if SIDE = 'L' |
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* (LDA,N) if SIDE = 'R' |
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* The vectors which define the elementary reflectors, as |
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* returned by ZGEHRD. |
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* |
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* LDA (input) INTEGER |
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* The leading dimension of the array A. |
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* LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. |
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* |
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* TAU (input) COMPLEX*16 array, dimension |
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* (M-1) if SIDE = 'L' |
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* (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 ZGEHRD. |
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* |
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* C (input/output) COMPLEX*16 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**H*C or C*Q**H 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/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) |
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* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. |
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* |
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* LWORK (input) INTEGER |
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* The dimension of the array WORK. |
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* If SIDE = 'L', LWORK >= max(1,N); |
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* if SIDE = 'R', LWORK >= max(1,M). |
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* For optimum performance LWORK >= N*NB if SIDE = 'L', and |
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* LWORK >= M*NB if SIDE = 'R', where NB is the optimal |
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* blocksize. |
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* |
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* If LWORK = -1, then a workspace query is assumed; the routine |
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* only calculates the optimal size of the WORK array, returns |
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* this value as the first entry of the WORK array, and no error |
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* message related to LWORK is issued by XERBLA. |
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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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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Local Scalars .. |
* .. Local Scalars .. |