--- rpl/lapack/lapack/dtptri.f 2010/12/21 13:53:40 1.7 +++ rpl/lapack/lapack/dtptri.f 2011/11/21 20:43:06 1.8 @@ -1,9 +1,126 @@ +*> \brief \b DTPTRI +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DTPTRI + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DTPTRI( UPLO, DIAG, N, AP, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER DIAG, UPLO +* INTEGER INFO, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION AP( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DTPTRI computes the inverse of a real upper or lower triangular +*> matrix A stored in packed format. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> = 'U': A is upper triangular; +*> = 'L': A is lower triangular. +*> \endverbatim +*> +*> \param[in] DIAG +*> \verbatim +*> DIAG is CHARACTER*1 +*> = 'N': A is non-unit triangular; +*> = 'U': A is unit triangular. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] AP +*> \verbatim +*> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2) +*> On entry, the upper or lower triangular matrix A, stored +*> columnwise in a linear array. The j-th column of A is stored +*> in the array AP as follows: +*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; +*> if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n. +*> See below for further details. +*> On exit, the (triangular) inverse of the original matrix, in +*> the same packed storage format. +*> \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, A(i,i) is exactly zero. The triangular +*> matrix is singular and its inverse can 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 doubleOTHERcomputational +* +*> \par Further Details: +* ===================== +*> +*> \verbatim +*> +*> A triangular matrix A can be transferred to packed storage using one +*> of the following program segments: +*> +*> UPLO = 'U': UPLO = 'L': +*> +*> JC = 1 JC = 1 +*> DO 2 J = 1, N DO 2 J = 1, N +*> DO 1 I = 1, J DO 1 I = J, N +*> AP(JC+I-1) = A(I,J) AP(JC+I-J) = A(I,J) +*> 1 CONTINUE 1 CONTINUE +*> JC = JC + J JC = JC + N - J + 1 +*> 2 CONTINUE 2 CONTINUE +*> \endverbatim +*> +* ===================================================================== SUBROUTINE DTPTRI( UPLO, DIAG, N, AP, 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 .. CHARACTER DIAG, UPLO @@ -13,58 +130,6 @@ DOUBLE PRECISION AP( * ) * .. * -* Purpose -* ======= -* -* DTPTRI computes the inverse of a real upper or lower triangular -* matrix A stored in packed format. -* -* Arguments -* ========= -* -* UPLO (input) CHARACTER*1 -* = 'U': A is upper triangular; -* = 'L': A is lower triangular. -* -* DIAG (input) CHARACTER*1 -* = 'N': A is non-unit triangular; -* = 'U': A is unit triangular. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2) -* On entry, the upper or lower triangular matrix A, stored -* columnwise in a linear array. The j-th column of A is stored -* in the array AP as follows: -* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; -* if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n. -* See below for further details. -* On exit, the (triangular) inverse of the original matrix, in -* the same packed storage format. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: if INFO = i, A(i,i) is exactly zero. The triangular -* matrix is singular and its inverse can not be computed. -* -* Further Details -* =============== -* -* A triangular matrix A can be transferred to packed storage using one -* of the following program segments: -* -* UPLO = 'U': UPLO = 'L': -* -* JC = 1 JC = 1 -* DO 2 J = 1, N DO 2 J = 1, N -* DO 1 I = 1, J DO 1 I = J, N -* AP(JC+I-1) = A(I,J) AP(JC+I-J) = A(I,J) -* 1 CONTINUE 1 CONTINUE -* JC = JC + J JC = JC + N - J + 1 -* 2 CONTINUE 2 CONTINUE -* * ===================================================================== * * .. Parameters ..