--- rpl/lapack/lapack/dla_syrpvgrw.f 2010/12/21 13:53:28 1.4 +++ rpl/lapack/lapack/dla_syrpvgrw.f 2011/11/21 20:42:54 1.5 @@ -1,16 +1,132 @@ +*> \brief \b DLA_SYRPVGRW +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLA_SYRPVGRW + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* DOUBLE PRECISION FUNCTION DLA_SYRPVGRW( UPLO, N, INFO, A, LDA, AF, +* LDAF, IPIV, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER*1 UPLO +* INTEGER N, INFO, LDA, LDAF +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* DOUBLE PRECISION A( LDA, * ), AF( LDAF, * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> +*> DLA_SYRPVGRW computes the reciprocal pivot growth factor +*> norm(A)/norm(U). The "max absolute element" norm is used. If this is +*> much less than 1, the stability of the LU factorization of the +*> (equilibrated) matrix A could be poor. This also means that the +*> solution X, estimated condition numbers, and error bounds could be +*> unreliable. +*> \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 number of linear equations, i.e., the order of the +*> matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] INFO +*> \verbatim +*> INFO is INTEGER +*> The value of INFO returned from DSYTRF, .i.e., the pivot in +*> column INFO is exactly 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is DOUBLE PRECISION array, dimension (LDA,N) +*> On entry, the N-by-N matrix A. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N). +*> \endverbatim +*> +*> \param[in] AF +*> \verbatim +*> AF is DOUBLE PRECISION array, dimension (LDAF,N) +*> The block diagonal matrix D and the multipliers used to +*> obtain the factor U or L as computed by DSYTRF. +*> \endverbatim +*> +*> \param[in] LDAF +*> \verbatim +*> LDAF is INTEGER +*> The leading dimension of the array AF. LDAF >= max(1,N). +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> Details of the interchanges and the block structure of D +*> as determined by DSYTRF. +*> \endverbatim +*> +*> \param[in] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (2*N) +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleSYcomputational +* +* ===================================================================== DOUBLE PRECISION FUNCTION DLA_SYRPVGRW( UPLO, N, INFO, A, LDA, AF, $ LDAF, IPIV, WORK ) * -* -- LAPACK routine (version 3.2.2) -- -* -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and -- -* -- Jason Riedy of Univ. of California Berkeley. -- -* -- June 2010 -- +* -- 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 2011 * -* -- LAPACK is a software package provided by Univ. of Tennessee, -- -* -- Univ. of California Berkeley and NAG Ltd. -- -* - IMPLICIT NONE -* .. * .. Scalar Arguments .. CHARACTER*1 UPLO INTEGER N, INFO, LDA, LDAF @@ -20,53 +136,6 @@ DOUBLE PRECISION A( LDA, * ), AF( LDAF, * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DLA_SYRPVGRW computes the reciprocal pivot growth factor -* norm(A)/norm(U). The "max absolute element" norm is used. If this is -* much less than 1, the stability of the LU factorization of the -* (equilibrated) matrix A could be poor. This also means that the -* solution X, estimated condition numbers, and error bounds could be -* unreliable. -* -* Arguments -* ========= -* -* UPLO (input) CHARACTER*1 -* = 'U': Upper triangle of A is stored; -* = 'L': Lower triangle of A is stored. -* -* N (input) INTEGER -* The number of linear equations, i.e., the order of the -* matrix A. N >= 0. -* -* INFO (input) INTEGER -* The value of INFO returned from DSYTRF, .i.e., the pivot in -* column INFO is exactly 0. -* -* NCOLS (input) INTEGER -* The number of columns of the matrix A. NCOLS >= 0. -* -* A (input) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the N-by-N matrix A. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* AF (input) DOUBLE PRECISION array, dimension (LDAF,N) -* The block diagonal matrix D and the multipliers used to -* obtain the factor U or L as computed by DSYTRF. -* -* LDAF (input) INTEGER -* The leading dimension of the array AF. LDAF >= max(1,N). -* -* IPIV (input) INTEGER array, dimension (N) -* Details of the interchanges and the block structure of D -* as determined by DSYTRF. -* -* WORK (input) DOUBLE PRECISION array, dimension (2*N) -* * ===================================================================== * * .. Local Scalars ..