diff options
author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
---|---|---|
committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/zptcon.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/zptcon.f')
-rw-r--r-- | SRC/zptcon.f | 160 |
1 files changed, 113 insertions, 47 deletions
diff --git a/SRC/zptcon.f b/SRC/zptcon.f index 4131c0f1..503dfe0a 100644 --- a/SRC/zptcon.f +++ b/SRC/zptcon.f @@ -1,65 +1,131 @@ - SUBROUTINE ZPTCON( N, D, E, ANORM, RCOND, RWORK, INFO ) -* -* -- LAPACK 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 -- -* -* .. Scalar Arguments .. - INTEGER INFO, N - DOUBLE PRECISION ANORM, RCOND -* .. -* .. Array Arguments .. - DOUBLE PRECISION D( * ), RWORK( * ) - COMPLEX*16 E( * ) -* .. -* +*> \brief \b ZPTCON +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZPTCON( N, D, E, ANORM, RCOND, RWORK, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, N +* DOUBLE PRECISION ANORM, RCOND +* .. +* .. Array Arguments .. +* DOUBLE PRECISION D( * ), RWORK( * ) +* COMPLEX*16 E( * ) +* .. +* * Purpose * ======= * -* ZPTCON computes the reciprocal of the condition number (in the -* 1-norm) of a complex Hermitian positive definite tridiagonal matrix -* using the factorization A = L*D*L**H or A = U**H*D*U computed by -* ZPTTRF. -* -* Norm(inv(A)) is computed by a direct method, and the reciprocal of -* the condition number is computed as -* RCOND = 1 / (ANORM * norm(inv(A))). +*>\details \b Purpose: +*>\verbatim +*> +*> ZPTCON computes the reciprocal of the condition number (in the +*> 1-norm) of a complex Hermitian positive definite tridiagonal matrix +*> using the factorization A = L*D*L**H or A = U**H*D*U computed by +*> ZPTTRF. +*> +*> Norm(inv(A)) is computed by a direct method, and the reciprocal of +*> the condition number is computed as +*> RCOND = 1 / (ANORM * norm(inv(A))). +*> +*>\endverbatim * * Arguments * ========= * -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* D (input) DOUBLE PRECISION array, dimension (N) -* The n diagonal elements of the diagonal matrix D from the -* factorization of A, as computed by ZPTTRF. -* -* E (input) COMPLEX*16 array, dimension (N-1) -* The (n-1) off-diagonal elements of the unit bidiagonal factor -* U or L from the factorization of A, as computed by ZPTTRF. +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] D +*> \verbatim +*> D is DOUBLE PRECISION array, dimension (N) +*> The n diagonal elements of the diagonal matrix D from the +*> factorization of A, as computed by ZPTTRF. +*> \endverbatim +*> +*> \param[in] E +*> \verbatim +*> E is COMPLEX*16 array, dimension (N-1) +*> The (n-1) off-diagonal elements of the unit bidiagonal factor +*> U or L from the factorization of A, as computed by ZPTTRF. +*> \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 the +*> 1-norm of inv(A) computed in this routine. +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is DOUBLE PRECISION 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 +* ======= * -* ANORM (input) DOUBLE PRECISION -* The 1-norm of the original matrix A. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* RCOND (output) DOUBLE PRECISION -* The reciprocal of the condition number of the matrix A, -* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is the -* 1-norm of inv(A) computed in this routine. +*> \date November 2011 * -* RWORK (workspace) DOUBLE PRECISION array, dimension (N) +*> \ingroup complex16OTHERcomputational * -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value * * Further Details * =============== +*>\details \b Further \b Details +*> \verbatim +*> +*> The method used is described in Nicholas J. Higham, "Efficient +*> Algorithms for Computing the Condition Number of a Tridiagonal +*> Matrix", SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986. +*> +*> \endverbatim +*> +* ===================================================================== + SUBROUTINE ZPTCON( N, D, E, ANORM, RCOND, RWORK, INFO ) * -* The method used is described in Nicholas J. Higham, "Efficient -* Algorithms for Computing the Condition Number of a Tridiagonal -* Matrix", SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986. +* -- 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..-- +* November 2011 +* +* .. Scalar Arguments .. + INTEGER INFO, N + DOUBLE PRECISION ANORM, RCOND +* .. +* .. Array Arguments .. + DOUBLE PRECISION D( * ), RWORK( * ) + COMPLEX*16 E( * ) +* .. * * ===================================================================== * |