--- rpl/lapack/lapack/zpotrf.f 2011/07/22 07:38:19 1.8 +++ rpl/lapack/lapack/zpotrf.f 2011/11/21 20:43:19 1.9 @@ -1,9 +1,116 @@ +*> \brief \b ZPOTRF +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZPOTRF + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZPOTRF( UPLO, N, A, LDA, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, LDA, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZPOTRF computes the Cholesky factorization of a complex Hermitian +*> positive definite matrix A. +*> +*> The factorization has the form +*> A = U**H * U, if UPLO = 'U', or +*> A = L * L**H, if UPLO = 'L', +*> where U is an upper triangular matrix and L is lower triangular. +*> +*> This is the block version of the algorithm, calling Level 3 BLAS. +*> \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 COMPLEX*16 array, dimension (LDA,N) +*> On entry, the Hermitian matrix A. If UPLO = 'U', the leading +*> N-by-N upper triangular part of A contains the upper +*> triangular part of the matrix A, and the strictly lower +*> triangular part of A is not referenced. If UPLO = 'L', the +*> leading N-by-N lower triangular part of A contains the lower +*> triangular part of the matrix A, and the strictly upper +*> triangular part of A is not referenced. +*> +*> On exit, if INFO = 0, the factor U or L from the Cholesky +*> factorization A = U**H *U or A = L*L**H. +*> \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 leading minor of order i is not +*> positive definite, and the factorization could not be +*> completed. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16POcomputational +* +* ===================================================================== SUBROUTINE ZPOTRF( 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 @@ -13,51 +120,6 @@ COMPLEX*16 A( LDA, * ) * .. * -* Purpose -* ======= -* -* ZPOTRF computes the Cholesky factorization of a complex Hermitian -* positive definite matrix A. -* -* The factorization has the form -* A = U**H * U, if UPLO = 'U', or -* A = L * L**H, if UPLO = 'L', -* where U is an upper triangular matrix and L is lower triangular. -* -* This is the block version of the algorithm, calling Level 3 BLAS. -* -* 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) COMPLEX*16 array, dimension (LDA,N) -* On entry, the Hermitian matrix A. If UPLO = 'U', the leading -* N-by-N upper triangular part of A contains the upper -* triangular part of the matrix A, and the strictly lower -* triangular part of A is not referenced. If UPLO = 'L', the -* leading N-by-N lower triangular part of A contains the lower -* triangular part of the matrix A, and the strictly upper -* triangular part of A is not referenced. -* -* On exit, if INFO = 0, the factor U or L from the Cholesky -* factorization A = U**H *U or A = L*L**H. -* -* 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 leading minor of order i is not -* positive definite, and the factorization could not be -* completed. -* * ===================================================================== * * .. Parameters ..