--- rpl/lapack/lapack/dppcon.f 2011/07/22 07:38:10 1.8 +++ rpl/lapack/lapack/dppcon.f 2011/11/21 20:43:02 1.9 @@ -1,11 +1,127 @@ +*> \brief \b DPPCON +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DPPCON + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DPPCON( UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, N +* DOUBLE PRECISION ANORM, RCOND +* .. +* .. Array Arguments .. +* INTEGER IWORK( * ) +* DOUBLE PRECISION AP( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DPPCON estimates the reciprocal of the condition number (in the +*> 1-norm) of a real symmetric positive definite packed matrix using +*> the Cholesky factorization A = U**T*U or A = L*L**T computed by +*> DPPTRF. +*> +*> An estimate is obtained for norm(inv(A)), and the reciprocal of the +*> condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). +*> \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] AP +*> \verbatim +*> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2) +*> The triangular factor U or L from the Cholesky factorization +*> A = U**T*U or A = L*L**T, packed columnwise in a linear +*> array. The j-th column of U or L is stored in the array AP +*> as follows: +*> if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; +*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. +*> \endverbatim +*> +*> \param[in] ANORM +*> \verbatim +*> ANORM is DOUBLE PRECISION +*> The 1-norm (or infinity-norm) of the symmetric matrix A. +*> \endverbatim +*> +*> \param[out] RCOND +*> \verbatim +*> RCOND is DOUBLE PRECISION +*> The reciprocal of the condition number of the matrix A, +*> computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an +*> estimate of the 1-norm of inv(A) computed in this routine. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (3*N) +*> \endverbatim +*> +*> \param[out] IWORK +*> \verbatim +*> IWORK is INTEGER array, dimension (N) +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleOTHERcomputational +* +* ===================================================================== SUBROUTINE DPPCON( UPLO, N, AP, ANORM, RCOND, WORK, IWORK, 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 -- -* -* Modified to call DLACN2 in place of DLACON, 5 Feb 03, SJH. +* November 2011 * * .. Scalar Arguments .. CHARACTER UPLO @@ -17,51 +133,6 @@ DOUBLE PRECISION AP( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DPPCON estimates the reciprocal of the condition number (in the -* 1-norm) of a real symmetric positive definite packed matrix using -* the Cholesky factorization A = U**T*U or A = L*L**T computed by -* DPPTRF. -* -* An estimate is obtained for norm(inv(A)), and the reciprocal of the -* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). -* -* 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. -* -* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2) -* The triangular factor U or L from the Cholesky factorization -* A = U**T*U or A = L*L**T, packed columnwise in a linear -* array. The j-th column of U or L is stored in the array AP -* as follows: -* if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; -* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. -* -* ANORM (input) DOUBLE PRECISION -* The 1-norm (or infinity-norm) of the symmetric matrix A. -* -* RCOND (output) DOUBLE PRECISION -* The reciprocal of the condition number of the matrix A, -* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an -* estimate of the 1-norm of inv(A) computed in this routine. -* -* WORK (workspace) DOUBLE PRECISION array, dimension (3*N) -* -* IWORK (workspace) INTEGER array, dimension (N) -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters ..