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version 1.14, 2016/08/27 15:35:13
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*> \brief \b ZUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm). |
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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 ZUNG2L + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zung2l.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/zung2l.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/zung2l.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 ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO ) |
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* |
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* .. Scalar Arguments .. |
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* INTEGER INFO, K, LDA, M, N |
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* .. |
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* .. Array Arguments .. |
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* COMPLEX*16 A( LDA, * ), 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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*> ZUNG2L generates an m by n complex matrix Q with orthonormal columns, |
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*> which is defined as the last n columns of a product of k elementary |
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*> reflectors of order m |
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*> |
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*> Q = H(k) . . . H(2) H(1) |
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*> |
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*> as returned by ZGEQLF. |
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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] M |
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*> \verbatim |
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*> M is INTEGER |
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*> The number of rows of the matrix Q. 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 Q. M >= N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in] K |
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*> \verbatim |
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*> K is INTEGER |
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*> The number of elementary reflectors whose product defines the |
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*> matrix Q. N >= K >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in,out] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension (LDA,N) |
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*> On entry, the (n-k+i)-th column must contain the vector which |
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*> defines the elementary reflector H(i), for i = 1,2,...,k, as |
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*> returned by ZGEQLF in the last k columns of its array |
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*> argument A. |
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*> On exit, the m-by-n matrix Q. |
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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 first dimension of the array A. LDA >= max(1,M). |
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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 (K) |
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*> TAU(i) must contain the scalar factor of the elementary |
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*> reflector H(i), as returned by ZGEQLF. |
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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 (N) |
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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 has 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 September 2012 |
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* |
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*> \ingroup complex16OTHERcomputational |
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* |
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* ===================================================================== |
SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO ) |
SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK computational routine (version 3.4.2) -- |
* -- 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 |
* September 2012 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, K, LDA, M, N |
INTEGER INFO, K, LDA, M, N |
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COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) |
COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZUNG2L generates an m by n complex matrix Q with orthonormal columns, |
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* which is defined as the last n columns of a product of k elementary |
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* reflectors of order m |
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* |
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* Q = H(k) . . . H(2) H(1) |
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* |
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* as returned by ZGEQLF. |
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* |
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* Arguments |
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* ========= |
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* |
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* M (input) INTEGER |
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* The number of rows of the matrix Q. M >= 0. |
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* |
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* N (input) INTEGER |
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* The number of columns of the matrix Q. M >= N >= 0. |
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* |
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* K (input) INTEGER |
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* The number of elementary reflectors whose product defines the |
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* matrix Q. N >= K >= 0. |
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* |
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* A (input/output) COMPLEX*16 array, dimension (LDA,N) |
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* On entry, the (n-k+i)-th column must contain the vector which |
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* defines the elementary reflector H(i), for i = 1,2,...,k, as |
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* returned by ZGEQLF in the last k columns of its array |
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* argument A. |
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* On exit, the m-by-n matrix Q. |
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* |
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* LDA (input) INTEGER |
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* The first dimension of the array A. LDA >= max(1,M). |
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* |
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* TAU (input) COMPLEX*16 array, dimension (K) |
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* TAU(i) must contain the scalar factor of the elementary |
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* reflector H(i), as returned by ZGEQLF. |
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* |
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* WORK (workspace) COMPLEX*16 array, dimension (N) |
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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 has an illegal value |
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* |
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* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |