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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/sgbcon.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
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Integrating Doxygen in comments
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-rw-r--r-- | SRC/sgbcon.f | 202 |
1 files changed, 139 insertions, 63 deletions
diff --git a/SRC/sgbcon.f b/SRC/sgbcon.f index 664431ed..cda62938 100644 --- a/SRC/sgbcon.f +++ b/SRC/sgbcon.f @@ -1,12 +1,147 @@ +*> \brief \b SGBCON +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE SGBCON( NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, +* WORK, IWORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER NORM +* INTEGER INFO, KL, KU, LDAB, N +* REAL ANORM, RCOND +* .. +* .. Array Arguments .. +* INTEGER IPIV( * ), IWORK( * ) +* REAL AB( LDAB, * ), WORK( * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> SGBCON estimates the reciprocal of the condition number of a real +*> general band matrix A, in either the 1-norm or the infinity-norm, +*> using the LU factorization computed by SGBTRF. +*> +*> An estimate is obtained for norm(inv(A)), and the reciprocal of the +*> condition number is computed as +*> RCOND = 1 / ( norm(A) * norm(inv(A)) ). +*> +*>\endverbatim +* +* Arguments +* ========= +* +*> \param[in] NORM +*> \verbatim +*> NORM is CHARACTER*1 +*> Specifies whether the 1-norm condition number or the +*> infinity-norm condition number is required: +*> = '1' or 'O': 1-norm; +*> = 'I': Infinity-norm. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] KL +*> \verbatim +*> KL is INTEGER +*> The number of subdiagonals within the band of A. KL >= 0. +*> \endverbatim +*> +*> \param[in] KU +*> \verbatim +*> KU is INTEGER +*> The number of superdiagonals within the band of A. KU >= 0. +*> \endverbatim +*> +*> \param[in] AB +*> \verbatim +*> AB is REAL array, dimension (LDAB,N) +*> Details of the LU factorization of the band matrix A, as +*> computed by SGBTRF. U is stored as an upper triangular band +*> matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and +*> the multipliers used during the factorization are stored in +*> rows KL+KU+2 to 2*KL+KU+1. +*> \endverbatim +*> +*> \param[in] LDAB +*> \verbatim +*> LDAB is INTEGER +*> The leading dimension of the array AB. LDAB >= 2*KL+KU+1. +*> \endverbatim +*> +*> \param[in] IPIV +*> \verbatim +*> IPIV is INTEGER array, dimension (N) +*> The pivot indices; for 1 <= i <= N, row i of the matrix was +*> interchanged with row IPIV(i). +*> \endverbatim +*> +*> \param[in] ANORM +*> \verbatim +*> ANORM is REAL +*> If NORM = '1' or 'O', the 1-norm of the original matrix A. +*> If NORM = 'I', the infinity-norm of the original matrix A. +*> \endverbatim +*> +*> \param[out] RCOND +*> \verbatim +*> RCOND is REAL +*> The reciprocal of the condition number of the matrix A, +*> computed as RCOND = 1/(norm(A) * norm(inv(A))). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is REAL 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 realGBcomputational +* +* ===================================================================== SUBROUTINE SGBCON( NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, $ WORK, IWORK, 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 SLACN2 in place of SLACON, 7 Feb 03, SJH. +* November 2011 * * .. Scalar Arguments .. CHARACTER NORM @@ -18,65 +153,6 @@ REAL AB( LDAB, * ), WORK( * ) * .. * -* Purpose -* ======= -* -* SGBCON estimates the reciprocal of the condition number of a real -* general band matrix A, in either the 1-norm or the infinity-norm, -* using the LU factorization computed by SGBTRF. -* -* An estimate is obtained for norm(inv(A)), and the reciprocal of the -* condition number is computed as -* RCOND = 1 / ( norm(A) * norm(inv(A)) ). -* -* Arguments -* ========= -* -* NORM (input) CHARACTER*1 -* Specifies whether the 1-norm condition number or the -* infinity-norm condition number is required: -* = '1' or 'O': 1-norm; -* = 'I': Infinity-norm. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* KL (input) INTEGER -* The number of subdiagonals within the band of A. KL >= 0. -* -* KU (input) INTEGER -* The number of superdiagonals within the band of A. KU >= 0. -* -* AB (input) REAL array, dimension (LDAB,N) -* Details of the LU factorization of the band matrix A, as -* computed by SGBTRF. U is stored as an upper triangular band -* matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and -* the multipliers used during the factorization are stored in -* rows KL+KU+2 to 2*KL+KU+1. -* -* LDAB (input) INTEGER -* The leading dimension of the array AB. LDAB >= 2*KL+KU+1. -* -* IPIV (input) INTEGER array, dimension (N) -* The pivot indices; for 1 <= i <= N, row i of the matrix was -* interchanged with row IPIV(i). -* -* ANORM (input) REAL -* If NORM = '1' or 'O', the 1-norm of the original matrix A. -* If NORM = 'I', the infinity-norm of the original matrix A. -* -* RCOND (output) REAL -* The reciprocal of the condition number of the matrix A, -* computed as RCOND = 1/(norm(A) * norm(inv(A))). -* -* WORK (workspace) REAL 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 .. |