--- rpl/lapack/lapack/dgetrs.f 2011/07/22 07:38:05 1.8 +++ rpl/lapack/lapack/dgetrs.f 2011/11/21 20:42:52 1.9 @@ -1,9 +1,130 @@ +*> \brief \b DGETRS +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DGETRS + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER TRANS +* INTEGER INFO, LDA, LDB, N, NRHS +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* DOUBLE PRECISION A( LDA, * ), B( LDB, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DGETRS solves a system of linear equations +*> A * X = B or A**T * X = B +*> with a general N-by-N matrix A using the LU factorization computed +*> by DGETRF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] TRANS +*> \verbatim +*> TRANS is CHARACTER*1 +*> Specifies the form of the system of equations: +*> = 'N': A * X = B (No transpose) +*> = 'T': A**T* X = B (Transpose) +*> = 'C': A**T* X = B (Conjugate transpose = Transpose) +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] NRHS +*> \verbatim +*> NRHS is INTEGER +*> The number of right hand sides, i.e., the number of columns +*> of the matrix B. NRHS >= 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is DOUBLE PRECISION array, dimension (LDA,N) +*> The factors L and U from the factorization A = P*L*U +*> as computed by DGETRF. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N). +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> The pivot indices from DGETRF; for 1<=i<=N, row i of the +*> matrix was interchanged with row IPIV(i). +*> \endverbatim +*> +*> \param[in,out] B +*> \verbatim +*> B is DOUBLE PRECISION array, dimension (LDB,NRHS) +*> On entry, the right hand side matrix B. +*> On exit, the solution matrix X. +*> \endverbatim +*> +*> \param[in] LDB +*> \verbatim +*> LDB is INTEGER +*> The leading dimension of the array B. LDB >= max(1,N). +*> \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 doubleGEcomputational +* +* ===================================================================== SUBROUTINE DGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, 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 .. CHARACTER TRANS @@ -14,52 +135,6 @@ DOUBLE PRECISION A( LDA, * ), B( LDB, * ) * .. * -* Purpose -* ======= -* -* DGETRS solves a system of linear equations -* A * X = B or A**T * X = B -* with a general N-by-N matrix A using the LU factorization computed -* by DGETRF. -* -* Arguments -* ========= -* -* TRANS (input) CHARACTER*1 -* Specifies the form of the system of equations: -* = 'N': A * X = B (No transpose) -* = 'T': A**T* X = B (Transpose) -* = 'C': A**T* X = B (Conjugate transpose = Transpose) -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* NRHS (input) INTEGER -* The number of right hand sides, i.e., the number of columns -* of the matrix B. NRHS >= 0. -* -* A (input) DOUBLE PRECISION array, dimension (LDA,N) -* The factors L and U from the factorization A = P*L*U -* as computed by DGETRF. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* IPIV (input) INTEGER array, dimension (N) -* The pivot indices from DGETRF; for 1<=i<=N, row i of the -* matrix was interchanged with row IPIV(i). -* -* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) -* On entry, the right hand side matrix B. -* On exit, the solution matrix X. -* -* LDB (input) INTEGER -* The leading dimension of the array B. LDB >= max(1,N). -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters ..