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Diffstat (limited to 'SRC/sorg2r.f')
| -rw-r--r-- | SRC/sorg2r.f | 144 |
1 files changed, 103 insertions, 41 deletions
diff --git a/SRC/sorg2r.f b/SRC/sorg2r.f index 4fad636a..3350f129 100644 --- a/SRC/sorg2r.f +++ b/SRC/sorg2r.f @@ -1,60 +1,122 @@ - SUBROUTINE SORG2R( M, N, K, A, LDA, TAU, WORK, INFO ) +*> \brief \b SORG2R * -* -- LAPACK 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 +* =========== DOCUMENTATION =========== * -* .. Scalar Arguments .. - INTEGER INFO, K, LDA, M, N -* .. -* .. Array Arguments .. - REAL A( LDA, * ), TAU( * ), WORK( * ) -* .. +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * +* Definition +* ========== +* +* SUBROUTINE SORG2R( M, N, K, A, LDA, TAU, WORK, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, K, LDA, M, N +* .. +* .. Array Arguments .. +* REAL A( LDA, * ), TAU( * ), WORK( * ) +* .. +* * Purpose * ======= * -* SORG2R generates an m by n real matrix Q with orthonormal columns, -* which is defined as the first n columns of a product of k elementary -* reflectors of order m -* -* Q = H(1) H(2) . . . H(k) -* -* as returned by SGEQRF. +*>\details \b Purpose: +*>\verbatim +*> +*> SORG2R generates an m by n real matrix Q with orthonormal columns, +*> which is defined as the first n columns of a product of k elementary +*> reflectors of order m +*> +*> Q = H(1) H(2) . . . H(k) +*> +*> as returned by SGEQRF. +*> +*>\endverbatim * * Arguments * ========= * -* M (input) INTEGER -* The number of rows of the matrix Q. M >= 0. -* -* N (input) INTEGER -* The number of columns of the matrix Q. M >= N >= 0. +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix Q. M >= 0. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix Q. M >= N >= 0. +*> \endverbatim +*> +*> \param[in] K +*> \verbatim +*> K is INTEGER +*> The number of elementary reflectors whose product defines the +*> matrix Q. N >= K >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is REAL array, dimension (LDA,N) +*> On entry, the i-th column must contain the vector which +*> defines the elementary reflector H(i), for i = 1,2,...,k, as +*> returned by SGEQRF in the first k columns of its array +*> argument A. +*> On exit, the m-by-n matrix Q. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The first dimension of the array A. LDA >= max(1,M). +*> \endverbatim +*> +*> \param[in] TAU +*> \verbatim +*> TAU is REAL array, dimension (K) +*> TAU(i) must contain the scalar factor of the elementary +*> reflector H(i), as returned by SGEQRF. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is REAL array, dimension (N) +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument has an illegal value +*> \endverbatim +*> +* +* Authors +* ======= * -* K (input) INTEGER -* The number of elementary reflectors whose product defines the -* matrix Q. N >= K >= 0. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* A (input/output) REAL array, dimension (LDA,N) -* On entry, the i-th column must contain the vector which -* defines the elementary reflector H(i), for i = 1,2,...,k, as -* returned by SGEQRF in the first k columns of its array -* argument A. -* On exit, the m-by-n matrix Q. +*> \date November 2011 * -* LDA (input) INTEGER -* The first dimension of the array A. LDA >= max(1,M). +*> \ingroup realOTHERcomputational * -* TAU (input) REAL array, dimension (K) -* TAU(i) must contain the scalar factor of the elementary -* reflector H(i), as returned by SGEQRF. +* ===================================================================== + SUBROUTINE SORG2R( M, N, K, A, LDA, TAU, WORK, INFO ) * -* WORK (workspace) REAL array, dimension (N) +* -- 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 2011 * -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument has an illegal value +* .. Scalar Arguments .. + INTEGER INFO, K, LDA, M, N +* .. +* .. Array Arguments .. + REAL A( LDA, * ), TAU( * ), WORK( * ) +* .. * * ===================================================================== * |