--- rpl/lapack/lapack/dgetri.f 2010/12/21 13:53:26 1.7 +++ rpl/lapack/lapack/dgetri.f 2011/11/21 20:42:52 1.8 @@ -1,9 +1,123 @@ +*> \brief \b DGETRI +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DGETRI + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, LDA, LWORK, N +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* DOUBLE PRECISION A( LDA, * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DGETRI computes the inverse of a matrix using the LU factorization +*> computed by DGETRF. +*> +*> This method inverts U and then computes inv(A) by solving the system +*> inv(A)*L = inv(U) for inv(A). +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is DOUBLE PRECISION array, dimension (LDA,N) +*> On entry, the factors L and U from the factorization +*> A = P*L*U as computed by DGETRF. +*> On exit, if INFO = 0, the inverse of the original matrix A. +*> \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[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)) +*> On exit, if INFO=0, then WORK(1) returns the optimal LWORK. +*> \endverbatim +*> +*> \param[in] LWORK +*> \verbatim +*> LWORK is INTEGER +*> The dimension of the array WORK. LWORK >= max(1,N). +*> For optimal performance LWORK >= N*NB, where NB is +*> the optimal blocksize returned by ILAENV. +*> +*> 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 +*> > 0: if INFO = i, U(i,i) is exactly zero; the matrix is +*> singular and its inverse could not be computed. +*> \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 DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- 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..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. INTEGER INFO, LDA, LWORK, N @@ -13,52 +127,6 @@ DOUBLE PRECISION A( LDA, * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DGETRI computes the inverse of a matrix using the LU factorization -* computed by DGETRF. -* -* This method inverts U and then computes inv(A) by solving the system -* inv(A)*L = inv(U) for inv(A). -* -* Arguments -* ========= -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the factors L and U from the factorization -* A = P*L*U as computed by DGETRF. -* On exit, if INFO = 0, the inverse of the original matrix A. -* -* 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). -* -* WORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) -* On exit, if INFO=0, then WORK(1) returns the optimal LWORK. -* -* LWORK (input) INTEGER -* The dimension of the array WORK. LWORK >= max(1,N). -* For optimal performance LWORK >= N*NB, where NB is -* the optimal blocksize returned by ILAENV. -* -* 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 -* > 0: if INFO = i, U(i,i) is exactly zero; the matrix is -* singular and its inverse could not be computed. -* * ===================================================================== * * .. Parameters ..