--- rpl/lapack/lapack/dpotri.f 2011/07/22 07:38:10 1.8 +++ rpl/lapack/lapack/dpotri.f 2011/11/21 20:43:02 1.9 @@ -1,9 +1,104 @@ +*> \brief \b DPOTRI +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DPOTRI + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DPOTRI( UPLO, N, A, LDA, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, LDA, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION A( LDA, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DPOTRI computes the inverse of a real symmetric positive definite +*> matrix A using the Cholesky factorization A = U**T*U or A = L*L**T +*> computed by DPOTRF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> = 'U': Upper triangle of A is stored; +*> = 'L': Lower triangle of A is stored. +*> \endverbatim +*> +*> \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 triangular factor U or L from the Cholesky +*> factorization A = U**T*U or A = L*L**T, as computed by +*> DPOTRF. +*> On exit, the upper or lower triangle of the (symmetric) +*> inverse of A, overwriting the input factor U or L. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= 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 +*> > 0: if INFO = i, the (i,i) element of the factor U or L is +*> zero, and the 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 doublePOcomputational +* +* ===================================================================== SUBROUTINE DPOTRI( UPLO, N, A, LDA, 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 UPLO @@ -13,39 +108,6 @@ DOUBLE PRECISION A( LDA, * ) * .. * -* Purpose -* ======= -* -* DPOTRI computes the inverse of a real symmetric positive definite -* matrix A using the Cholesky factorization A = U**T*U or A = L*L**T -* computed by DPOTRF. -* -* Arguments -* ========= -* -* UPLO (input) CHARACTER*1 -* = 'U': Upper triangle of A is stored; -* = 'L': Lower triangle of A is stored. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the triangular factor U or L from the Cholesky -* factorization A = U**T*U or A = L*L**T, as computed by -* DPOTRF. -* On exit, the upper or lower triangle of the (symmetric) -* inverse of A, overwriting the input factor U or L. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: if INFO = i, the (i,i) element of the factor U or L is -* zero, and the inverse could not be computed. -* * ===================================================================== * * .. External Functions ..