--- rpl/lapack/lapack/dpttrf.f 2011/07/22 07:38:10 1.8 +++ rpl/lapack/lapack/dpttrf.f 2011/11/21 20:43:02 1.9 @@ -1,9 +1,100 @@ +*> \brief \b DPTTRF +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DPTTRF + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DPTTRF( N, D, E, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION D( * ), E( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DPTTRF computes the L*D*L**T factorization of a real symmetric +*> positive definite tridiagonal matrix A. The factorization may also +*> be regarded as having the form A = U**T*D*U. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] D +*> \verbatim +*> D is DOUBLE PRECISION array, dimension (N) +*> On entry, the n diagonal elements of the tridiagonal matrix +*> A. On exit, the n diagonal elements of the diagonal matrix +*> D from the L*D*L**T factorization of A. +*> \endverbatim +*> +*> \param[in,out] E +*> \verbatim +*> E is DOUBLE PRECISION array, dimension (N-1) +*> On entry, the (n-1) subdiagonal elements of the tridiagonal +*> matrix A. On exit, the (n-1) subdiagonal elements of the +*> unit bidiagonal factor L from the L*D*L**T factorization of A. +*> E can also be regarded as the superdiagonal of the unit +*> bidiagonal factor U from the U**T*D*U factorization of A. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -k, the k-th argument had an illegal value +*> > 0: if INFO = k, the leading minor of order k is not +*> positive definite; if k < N, the factorization could not +*> be completed, while if k = N, the factorization was +*> completed, but D(N) <= 0. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup auxOTHERcomputational +* +* ===================================================================== SUBROUTINE DPTTRF( N, D, E, 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, N @@ -12,39 +103,6 @@ DOUBLE PRECISION D( * ), E( * ) * .. * -* Purpose -* ======= -* -* DPTTRF computes the L*D*L**T factorization of a real symmetric -* positive definite tridiagonal matrix A. The factorization may also -* be regarded as having the form A = U**T*D*U. -* -* Arguments -* ========= -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* D (input/output) DOUBLE PRECISION array, dimension (N) -* On entry, the n diagonal elements of the tridiagonal matrix -* A. On exit, the n diagonal elements of the diagonal matrix -* D from the L*D*L**T factorization of A. -* -* E (input/output) DOUBLE PRECISION array, dimension (N-1) -* On entry, the (n-1) subdiagonal elements of the tridiagonal -* matrix A. On exit, the (n-1) subdiagonal elements of the -* unit bidiagonal factor L from the L*D*L**T factorization of A. -* E can also be regarded as the superdiagonal of the unit -* bidiagonal factor U from the U**T*D*U factorization of A. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -k, the k-th argument had an illegal value -* > 0: if INFO = k, the leading minor of order k is not -* positive definite; if k < N, the factorization could not -* be completed, while if k = N, the factorization was -* completed, but D(N) <= 0. -* * ===================================================================== * * .. Parameters ..