--- rpl/lapack/lapack/dla_porcond.f 2011/07/22 07:38:06 1.5 +++ rpl/lapack/lapack/dla_porcond.f 2011/11/21 20:42:53 1.6 @@ -1,17 +1,152 @@ +*> \brief \b DLA_PORCOND +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLA_PORCOND + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* DOUBLE PRECISION FUNCTION DLA_PORCOND( UPLO, N, A, LDA, AF, LDAF, +* CMODE, C, INFO, WORK, +* IWORK ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER N, LDA, LDAF, INFO, CMODE +* DOUBLE PRECISION A( LDA, * ), AF( LDAF, * ), WORK( * ), +* $ C( * ) +* .. +* .. Array Arguments .. +* INTEGER IWORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DLA_PORCOND Estimates the Skeel condition number of op(A) * op2(C) +*> where op2 is determined by CMODE as follows +*> CMODE = 1 op2(C) = C +*> CMODE = 0 op2(C) = I +*> CMODE = -1 op2(C) = inv(C) +*> The Skeel condition number cond(A) = norminf( |inv(A)||A| ) +*> is computed by computing scaling factors R such that +*> diag(R)*A*op2(C) is row equilibrated and computing the standard +*> infinity-norm condition number. +*> \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] 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 triangular factor U or L from the Cholesky factorization +*> A = U**T*U or A = L*L**T, as computed by DPOTRF. +*> \endverbatim +*> +*> \param[in] LDAF +*> \verbatim +*> LDAF is INTEGER +*> The leading dimension of the array AF. LDAF >= max(1,N). +*> \endverbatim +*> +*> \param[in] CMODE +*> \verbatim +*> CMODE is INTEGER +*> Determines op2(C) in the formula op(A) * op2(C) as follows: +*> CMODE = 1 op2(C) = C +*> CMODE = 0 op2(C) = I +*> CMODE = -1 op2(C) = inv(C) +*> \endverbatim +*> +*> \param[in] C +*> \verbatim +*> C is DOUBLE PRECISION array, dimension (N) +*> The vector C in the formula op(A) * op2(C). +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: Successful exit. +*> i > 0: The ith argument is invalid. +*> \endverbatim +*> +*> \param[in] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (3*N). +*> Workspace. +*> \endverbatim +*> +*> \param[in] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (N). +*> Workspace. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doublePOcomputational +* +* ===================================================================== DOUBLE PRECISION FUNCTION DLA_PORCOND( UPLO, N, A, LDA, AF, LDAF, $ CMODE, C, INFO, WORK, $ IWORK ) * -* -- 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 UPLO INTEGER N, LDA, LDAF, INFO, CMODE @@ -22,62 +157,6 @@ INTEGER IWORK( * ) * .. * -* Purpose -* ======= -* -* DLA_PORCOND Estimates the Skeel condition number of op(A) * op2(C) -* where op2 is determined by CMODE as follows -* CMODE = 1 op2(C) = C -* CMODE = 0 op2(C) = I -* CMODE = -1 op2(C) = inv(C) -* The Skeel condition number cond(A) = norminf( |inv(A)||A| ) -* is computed by computing scaling factors R such that -* diag(R)*A*op2(C) is row equilibrated and computing the standard -* infinity-norm condition number. -* -* 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. -* -* 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 triangular factor U or L from the Cholesky factorization -* A = U**T*U or A = L*L**T, as computed by DPOTRF. -* -* LDAF (input) INTEGER -* The leading dimension of the array AF. LDAF >= max(1,N). -* -* CMODE (input) INTEGER -* Determines op2(C) in the formula op(A) * op2(C) as follows: -* CMODE = 1 op2(C) = C -* CMODE = 0 op2(C) = I -* CMODE = -1 op2(C) = inv(C) -* -* C (input) DOUBLE PRECISION array, dimension (N) -* The vector C in the formula op(A) * op2(C). -* -* INFO (output) INTEGER -* = 0: Successful exit. -* i > 0: The ith argument is invalid. -* -* WORK (input) DOUBLE PRECISION array, dimension (3*N). -* Workspace. -* -* IWORK (input) INTEGER array, dimension (N). -* Workspace. -* * ===================================================================== * * .. Local Scalars ..