--- rpl/lapack/lapack/dorglq.f 2011/07/22 07:38:08 1.8 +++ rpl/lapack/lapack/dorglq.f 2011/11/21 20:43:00 1.9 @@ -1,9 +1,136 @@ +*> \brief \b DORGLQ +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DORGLQ + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, K, LDA, LWORK, M, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DORGLQ generates an M-by-N real matrix Q with orthonormal rows, +*> which is defined as the first M rows of a product of K elementary +*> reflectors of order N +*> +*> Q = H(k) . . . H(2) H(1) +*> +*> as returned by DGELQF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \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. N >= M. +*> \endverbatim +*> +*> \param[in] K +*> \verbatim +*> K is INTEGER +*> The number of elementary reflectors whose product defines the +*> matrix Q. M >= K >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is DOUBLE PRECISION array, dimension (LDA,N) +*> On entry, the i-th row must contain the vector which defines +*> the elementary reflector H(i), for i = 1,2,...,k, as returned +*> by DGELQF in the first k rows 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 DOUBLE PRECISION array, dimension (K) +*> TAU(i) must contain the scalar factor of the elementary +*> reflector H(i), as returned by DGELQF. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION 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,M). +*> For optimum performance LWORK >= M*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. +*> \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: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleOTHERcomputational +* +* ===================================================================== SUBROUTINE DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) * -* -- LAPACK routine (version 3.3.1) -- +* -- LAPACK computational routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* -- April 2011 -- +* November 2011 * * .. Scalar Arguments .. INTEGER INFO, K, LDA, LWORK, M, N @@ -12,60 +139,6 @@ DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DORGLQ generates an M-by-N real matrix Q with orthonormal rows, -* which is defined as the first M rows of a product of K elementary -* reflectors of order N -* -* Q = H(k) . . . H(2) H(1) -* -* as returned by DGELQF. -* -* 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. N >= M. -* -* K (input) INTEGER -* The number of elementary reflectors whose product defines the -* matrix Q. M >= K >= 0. -* -* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the i-th row must contain the vector which defines -* the elementary reflector H(i), for i = 1,2,...,k, as returned -* by DGELQF in the first k rows of its array argument A. -* On exit, the M-by-N matrix Q. -* -* LDA (input) INTEGER -* The first dimension of the array A. LDA >= max(1,M). -* -* TAU (input) DOUBLE PRECISION array, dimension (K) -* TAU(i) must contain the scalar factor of the elementary -* reflector H(i), as returned by DGELQF. -* -* WORK (workspace/output) DOUBLE PRECISION 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,M). -* For optimum performance LWORK >= M*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 has an illegal value -* * ===================================================================== * * .. Parameters ..