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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/zpoequ.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/zpoequ.f')
-rw-r--r-- | SRC/zpoequ.f | 153 |
1 files changed, 107 insertions, 46 deletions
diff --git a/SRC/zpoequ.f b/SRC/zpoequ.f index 5e996594..b021f2f9 100644 --- a/SRC/zpoequ.f +++ b/SRC/zpoequ.f @@ -1,62 +1,123 @@ - SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO ) -* -* -- LAPACK routine (version 3.2) -- -* -- LAPACK is a software package provided by Univ. of Tennessee, -- -* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 -* -* .. Scalar Arguments .. - INTEGER INFO, LDA, N - DOUBLE PRECISION AMAX, SCOND -* .. -* .. Array Arguments .. - DOUBLE PRECISION S( * ) - COMPLEX*16 A( LDA, * ) -* .. -* +*> \brief \b ZPOEQU +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, LDA, N +* DOUBLE PRECISION AMAX, SCOND +* .. +* .. Array Arguments .. +* DOUBLE PRECISION S( * ) +* COMPLEX*16 A( LDA, * ) +* .. +* * Purpose * ======= * -* ZPOEQU computes row and column scalings intended to equilibrate a -* Hermitian positive definite matrix A and reduce its condition number -* (with respect to the two-norm). S contains the scale factors, -* S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with -* elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This -* choice of S puts the condition number of B within a factor N of the -* smallest possible condition number over all possible diagonal -* scalings. +*>\details \b Purpose: +*>\verbatim +*> +*> ZPOEQU computes row and column scalings intended to equilibrate a +*> Hermitian positive definite matrix A and reduce its condition number +*> (with respect to the two-norm). S contains the scale factors, +*> S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with +*> elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal. This +*> choice of S puts the condition number of B within a factor N of the +*> smallest possible condition number over all possible diagonal +*> scalings. +*> +*>\endverbatim * * Arguments * ========= * -* N (input) INTEGER -* The order of the matrix A. N >= 0. +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> The N-by-N Hermitian positive definite matrix whose scaling +*> factors are to be computed. Only the diagonal elements of A +*> are referenced. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,N). +*> \endverbatim +*> +*> \param[out] S +*> \verbatim +*> S is DOUBLE PRECISION array, dimension (N) +*> If INFO = 0, S contains the scale factors for A. +*> \endverbatim +*> +*> \param[out] SCOND +*> \verbatim +*> SCOND is DOUBLE PRECISION +*> If INFO = 0, S contains the ratio of the smallest S(i) to +*> the largest S(i). If SCOND >= 0.1 and AMAX is neither too +*> large nor too small, it is not worth scaling by S. +*> \endverbatim +*> +*> \param[out] AMAX +*> \verbatim +*> AMAX is DOUBLE PRECISION +*> Absolute value of largest matrix element. If AMAX is very +*> close to overflow or very close to underflow, the matrix +*> should be scaled. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> > 0: if INFO = i, the i-th diagonal element is nonpositive. +*> \endverbatim +*> +* +* Authors +* ======= * -* A (input) COMPLEX*16 array, dimension (LDA,N) -* The N-by-N Hermitian positive definite matrix whose scaling -* factors are to be computed. Only the diagonal elements of A -* are referenced. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). +*> \date November 2011 * -* S (output) DOUBLE PRECISION array, dimension (N) -* If INFO = 0, S contains the scale factors for A. +*> \ingroup complex16POcomputational * -* SCOND (output) DOUBLE PRECISION -* If INFO = 0, S contains the ratio of the smallest S(i) to -* the largest S(i). If SCOND >= 0.1 and AMAX is neither too -* large nor too small, it is not worth scaling by S. +* ===================================================================== + SUBROUTINE ZPOEQU( N, A, LDA, S, SCOND, AMAX, INFO ) * -* AMAX (output) DOUBLE PRECISION -* Absolute value of largest matrix element. If AMAX is very -* close to overflow or very close to underflow, the matrix -* should be scaled. +* -- LAPACK computational routine (version 3.2) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: if INFO = i, the i-th diagonal element is nonpositive. +* .. Scalar Arguments .. + INTEGER INFO, LDA, N + DOUBLE PRECISION AMAX, SCOND +* .. +* .. Array Arguments .. + DOUBLE PRECISION S( * ) + COMPLEX*16 A( LDA, * ) +* .. * * ===================================================================== * |