--- rpl/lapack/lapack/zla_porpvgrw.f 2010/12/21 13:53:48 1.4 +++ rpl/lapack/lapack/zla_porpvgrw.f 2011/11/21 20:43:14 1.5 @@ -1,16 +1,117 @@ +*> \brief \b ZLA_PORPVGRW +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLA_PORPVGRW + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* DOUBLE PRECISION FUNCTION ZLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF, +* LDAF, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER*1 UPLO +* INTEGER NCOLS, LDA, LDAF +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), AF( LDAF, * ) +* DOUBLE PRECISION WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> +*> ZLA_PORPVGRW 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] NCOLS +*> \verbatim +*> NCOLS is INTEGER +*> The number of columns of the matrix A. NCOLS >= 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 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 COMPLEX*16 array, dimension (LDAF,N) +*> The triangular factor U or L from the Cholesky factorization +*> A = U**T*U or A = L*L**T, as computed by ZPOTRF. +*> \endverbatim +*> +*> \param[in] LDAF +*> \verbatim +*> LDAF is INTEGER +*> The leading dimension of the array AF. LDAF >= max(1,N). +*> \endverbatim +*> +*> \param[in] WORK +*> \verbatim +*> WORK is COMPLEX*16 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 complex16POcomputational +* +* ===================================================================== DOUBLE PRECISION FUNCTION ZLA_PORPVGRW( UPLO, NCOLS, A, LDA, AF, $ LDAF, 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 is a software package provided by Univ. of Tennessee, -- -* -- Univ. of California Berkeley and NAG Ltd. -- +* -- 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 * - IMPLICIT NONE -* .. * .. Scalar Arguments .. CHARACTER*1 UPLO INTEGER NCOLS, LDA, LDAF @@ -20,41 +121,6 @@ DOUBLE PRECISION WORK( * ) * .. * -* Purpose -* ======= -* -* ZLA_PORPVGRW 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. -* -* NCOLS (input) INTEGER -* The number of columns of the matrix A. NCOLS >= 0. -* -* A (input) COMPLEX*16 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) COMPLEX*16 array, dimension (LDAF,N) -* The triangular factor U or L from the Cholesky factorization -* A = U**T*U or A = L*L**T, as computed by ZPOTRF. -* -* LDAF (input) INTEGER -* The leading dimension of the array AF. LDAF >= max(1,N). -* -* WORK (input) COMPLEX*16 array, dimension (2*N) -* * ===================================================================== * * .. Local Scalars ..