version 1.6, 2010/08/13 21:04:17
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version 1.12, 2014/01/27 09:28:45
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*> \brief \b ZUPGTR |
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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 ZUPGTR + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zupgtr.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/zupgtr.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/zupgtr.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 ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* INTEGER INFO, LDQ, N |
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* .. |
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* .. Array Arguments .. |
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* COMPLEX*16 AP( * ), Q( LDQ, * ), 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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*> ZUPGTR generates a complex unitary matrix Q which is defined as the |
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*> product of n-1 elementary reflectors H(i) of order n, as returned by |
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*> ZHPTRD using packed storage: |
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*> |
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*> if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), |
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*> |
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*> if UPLO = 'L', Q = H(1) H(2) . . . H(n-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] 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 ZHPTRD; |
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*> = 'L': Lower triangular packed storage used in previous |
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*> call to ZHPTRD. |
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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 order of the matrix Q. 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 COMPLEX*16 array, dimension (N*(N+1)/2) |
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*> The vectors which define the elementary reflectors, as |
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*> returned by ZHPTRD. |
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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 (N-1) |
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*> TAU(i) must contain the scalar factor of the elementary |
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*> reflector H(i), as returned by ZHPTRD. |
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*> \endverbatim |
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*> |
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*> \param[out] Q |
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*> \verbatim |
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*> Q is COMPLEX*16 array, dimension (LDQ,N) |
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*> The N-by-N unitary matrix Q. |
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*> \endverbatim |
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*> |
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*> \param[in] LDQ |
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*> \verbatim |
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*> LDQ is INTEGER |
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*> The leading dimension of the array Q. LDQ >= max(1,N). |
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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-1) |
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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 ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO ) |
SUBROUTINE ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, 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 UPLO |
CHARACTER UPLO |
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COMPLEX*16 AP( * ), Q( LDQ, * ), TAU( * ), WORK( * ) |
COMPLEX*16 AP( * ), Q( LDQ, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* Purpose |
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* ======= |
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* |
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* ZUPGTR generates a complex unitary matrix Q which is defined as the |
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* product of n-1 elementary reflectors H(i) of order n, as returned by |
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* ZHPTRD using packed storage: |
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* |
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* if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), |
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* |
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* if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). |
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* |
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* Arguments |
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* ========= |
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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 ZHPTRD; |
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* = 'L': Lower triangular packed storage used in previous |
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* call to ZHPTRD. |
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* |
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* N (input) INTEGER |
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* The order of the matrix Q. N >= 0. |
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* |
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* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2) |
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* The vectors which define the elementary reflectors, as |
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* returned by ZHPTRD. |
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* |
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* TAU (input) COMPLEX*16 array, dimension (N-1) |
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* TAU(i) must contain the scalar factor of the elementary |
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* reflector H(i), as returned by ZHPTRD. |
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* |
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* Q (output) COMPLEX*16 array, dimension (LDQ,N) |
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* The N-by-N unitary matrix Q. |
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* |
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* LDQ (input) INTEGER |
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* The leading dimension of the array Q. LDQ >= max(1,N). |
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* |
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* WORK (workspace) COMPLEX*16 array, dimension (N-1) |
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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 .. |