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author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
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committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/zhpcon.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/zhpcon.f')
-rw-r--r-- | SRC/zhpcon.f | 161 |
1 files changed, 112 insertions, 49 deletions
diff --git a/SRC/zhpcon.f b/SRC/zhpcon.f index 687f7271..4dfe1c45 100644 --- a/SRC/zhpcon.f +++ b/SRC/zhpcon.f @@ -1,11 +1,119 @@ +*> \brief \b ZHPCON +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZHPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, N +* DOUBLE PRECISION ANORM, RCOND +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ) +* COMPLEX*16 AP( * ), WORK( * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> ZHPCON estimates the reciprocal of the condition number of a complex +*> Hermitian packed matrix A using the factorization A = U*D*U**H or +*> A = L*D*L**H computed by ZHPTRF. +*> +*> 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 +*> Specifies whether the details of the factorization are stored +*> as an upper or lower triangular matrix. +*> = 'U': Upper triangular, form is A = U*D*U**H; +*> = 'L': Lower triangular, form is A = L*D*L**H. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] AP +*> \verbatim +*> AP is COMPLEX*16 array, dimension (N*(N+1)/2) +*> The block diagonal matrix D and the multipliers used to +*> obtain the factor U or L as computed by ZHPTRF, stored as a +*> packed triangular matrix. +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> Details of the interchanges and the block structure of D +*> as determined by ZHPTRF. +*> \endverbatim +*> +*> \param[in] ANORM +*> \verbatim +*> ANORM is DOUBLE PRECISION +*> The 1-norm of the original 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 COMPLEX*16 array, dimension (2*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 complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZHPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO ) * -* -- LAPACK routine (version 3.3.1) -- +* -- LAPACK computational routine (version 3.3.1) -- * -- 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 ZLACN2 in place of ZLACON, 10 Feb 03, SJH. +* November 2011 * * .. Scalar Arguments .. CHARACTER UPLO @@ -17,51 +125,6 @@ COMPLEX*16 AP( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* ZHPCON estimates the reciprocal of the condition number of a complex -* Hermitian packed matrix A using the factorization A = U*D*U**H or -* A = L*D*L**H computed by ZHPTRF. -* -* 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 -* Specifies whether the details of the factorization are stored -* as an upper or lower triangular matrix. -* = 'U': Upper triangular, form is A = U*D*U**H; -* = 'L': Lower triangular, form is A = L*D*L**H. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2) -* The block diagonal matrix D and the multipliers used to -* obtain the factor U or L as computed by ZHPTRF, stored as a -* packed triangular matrix. -* -* IPIV (input) INTEGER array, dimension (N) -* Details of the interchanges and the block structure of D -* as determined by ZHPTRF. -* -* ANORM (input) DOUBLE PRECISION -* The 1-norm of the original 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) COMPLEX*16 array, dimension (2*N) -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters .. |