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author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
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committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/zungbr.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/zungbr.f')
-rw-r--r-- | SRC/zungbr.f | 234 |
1 files changed, 152 insertions, 82 deletions
diff --git a/SRC/zungbr.f b/SRC/zungbr.f index c918ee3f..24860518 100644 --- a/SRC/zungbr.f +++ b/SRC/zungbr.f @@ -1,9 +1,159 @@ +*> \brief \b ZUNGBR +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZUNGBR( VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER VECT +* INTEGER INFO, K, LDA, LWORK, M, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> ZUNGBR generates one of the complex unitary matrices Q or P**H +*> determined by ZGEBRD when reducing a complex matrix A to bidiagonal +*> form: A = Q * B * P**H. Q and P**H are defined as products of +*> elementary reflectors H(i) or G(i) respectively. +*> +*> If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q +*> is of order M: +*> if m >= k, Q = H(1) H(2) . . . H(k) and ZUNGBR returns the first n +*> columns of Q, where m >= n >= k; +*> if m < k, Q = H(1) H(2) . . . H(m-1) and ZUNGBR returns Q as an +*> M-by-M matrix. +*> +*> If VECT = 'P', A is assumed to have been a K-by-N matrix, and P**H +*> is of order N: +*> if k < n, P**H = G(k) . . . G(2) G(1) and ZUNGBR returns the first m +*> rows of P**H, where n >= m >= k; +*> if k >= n, P**H = G(n-1) . . . G(2) G(1) and ZUNGBR returns P**H as +*> an N-by-N matrix. +*> +*>\endverbatim +* +* Arguments +* ========= +* +*> \param[in] VECT +*> \verbatim +*> VECT is CHARACTER*1 +*> Specifies whether the matrix Q or the matrix P**H is +*> required, as defined in the transformation applied by ZGEBRD: +*> = 'Q': generate Q; +*> = 'P': generate P**H. +*> \endverbatim +*> +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix Q or P**H to be returned. +*> M >= 0. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix Q or P**H to be returned. +*> N >= 0. +*> If VECT = 'Q', M >= N >= min(M,K); +*> if VECT = 'P', N >= M >= min(N,K). +*> \endverbatim +*> +*> \param[in] K +*> \verbatim +*> K is INTEGER +*> If VECT = 'Q', the number of columns in the original M-by-K +*> matrix reduced by ZGEBRD. +*> If VECT = 'P', the number of rows in the original K-by-N +*> matrix reduced by ZGEBRD. +*> K >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> On entry, the vectors which define the elementary reflectors, +*> as returned by ZGEBRD. +*> On exit, the M-by-N matrix Q or P**H. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= M. +*> \endverbatim +*> +*> \param[in] TAU +*> \verbatim +*> TAU is COMPLEX*16 array, dimension +*> (min(M,K)) if VECT = 'Q' +*> (min(N,K)) if VECT = 'P' +*> TAU(i) must contain the scalar factor of the elementary +*> reflector H(i) or G(i), which determines Q or P**H, as +*> returned by ZGEBRD in its array argument TAUQ or TAUP. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (MAX(1,LWORK)) +*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK. +*> \endverbatim +*> +*> \param[in] LWORK +*> \verbatim +*> LWORK is INTEGER +*> The dimension of the array WORK. LWORK >= max(1,min(M,N)). +*> For optimum performance LWORK >= min(M,N)*NB, where NB +*> is the optimal blocksize. +*> \endverbatim +*> \verbatim +*> If LWORK = -1, then a workspace query is assumed; the routine +*> only calculates the optimal size of the WORK array, returns +*> this value as the first entry of the WORK array, and no error +*> message related to LWORK is issued by XERBLA. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +*> +* +* Authors +* ======= +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16GBcomputational +* +* ===================================================================== SUBROUTINE ZUNGBR( VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK computational routine (version 3.2) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. CHARACTER VECT @@ -13,86 +163,6 @@ COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* ZUNGBR generates one of the complex unitary matrices Q or P**H -* determined by ZGEBRD when reducing a complex matrix A to bidiagonal -* form: A = Q * B * P**H. Q and P**H are defined as products of -* elementary reflectors H(i) or G(i) respectively. -* -* If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q -* is of order M: -* if m >= k, Q = H(1) H(2) . . . H(k) and ZUNGBR returns the first n -* columns of Q, where m >= n >= k; -* if m < k, Q = H(1) H(2) . . . H(m-1) and ZUNGBR returns Q as an -* M-by-M matrix. -* -* If VECT = 'P', A is assumed to have been a K-by-N matrix, and P**H -* is of order N: -* if k < n, P**H = G(k) . . . G(2) G(1) and ZUNGBR returns the first m -* rows of P**H, where n >= m >= k; -* if k >= n, P**H = G(n-1) . . . G(2) G(1) and ZUNGBR returns P**H as -* an N-by-N matrix. -* -* Arguments -* ========= -* -* VECT (input) CHARACTER*1 -* Specifies whether the matrix Q or the matrix P**H is -* required, as defined in the transformation applied by ZGEBRD: -* = 'Q': generate Q; -* = 'P': generate P**H. -* -* M (input) INTEGER -* The number of rows of the matrix Q or P**H to be returned. -* M >= 0. -* -* N (input) INTEGER -* The number of columns of the matrix Q or P**H to be returned. -* N >= 0. -* If VECT = 'Q', M >= N >= min(M,K); -* if VECT = 'P', N >= M >= min(N,K). -* -* K (input) INTEGER -* If VECT = 'Q', the number of columns in the original M-by-K -* matrix reduced by ZGEBRD. -* If VECT = 'P', the number of rows in the original K-by-N -* matrix reduced by ZGEBRD. -* K >= 0. -* -* A (input/output) COMPLEX*16 array, dimension (LDA,N) -* On entry, the vectors which define the elementary reflectors, -* as returned by ZGEBRD. -* On exit, the M-by-N matrix Q or P**H. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= M. -* -* TAU (input) COMPLEX*16 array, dimension -* (min(M,K)) if VECT = 'Q' -* (min(N,K)) if VECT = 'P' -* TAU(i) must contain the scalar factor of the elementary -* reflector H(i) or G(i), which determines Q or P**H, as -* returned by ZGEBRD in its array argument TAUQ or TAUP. -* -* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) -* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. -* -* LWORK (input) INTEGER -* The dimension of the array WORK. LWORK >= max(1,min(M,N)). -* For optimum performance LWORK >= min(M,N)*NB, where NB -* is the optimal blocksize. -* -* If LWORK = -1, then a workspace query is assumed; the routine -* only calculates the optimal size of the WORK array, returns -* this value as the first entry of the WORK array, and no error -* message related to LWORK is issued by XERBLA. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters .. |