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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/dsteqr.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/dsteqr.f')
-rw-r--r-- | SRC/dsteqr.f | 187 |
1 files changed, 125 insertions, 62 deletions
diff --git a/SRC/dsteqr.f b/SRC/dsteqr.f index 2b364884..d2facec7 100644 --- a/SRC/dsteqr.f +++ b/SRC/dsteqr.f @@ -1,9 +1,132 @@ +*> \brief \b DSTEQR +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE DSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER COMPZ +* INTEGER INFO, LDZ, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> DSTEQR computes all eigenvalues and, optionally, eigenvectors of a +*> symmetric tridiagonal matrix using the implicit QL or QR method. +*> The eigenvectors of a full or band symmetric matrix can also be found +*> if DSYTRD or DSPTRD or DSBTRD has been used to reduce this matrix to +*> tridiagonal form. +*> +*>\endverbatim +* +* Arguments +* ========= +* +*> \param[in] COMPZ +*> \verbatim +*> COMPZ is CHARACTER*1 +*> = 'N': Compute eigenvalues only. +*> = 'V': Compute eigenvalues and eigenvectors of the original +*> symmetric matrix. On entry, Z must contain the +*> orthogonal matrix used to reduce the original matrix +*> to tridiagonal form. +*> = 'I': Compute eigenvalues and eigenvectors of the +*> tridiagonal matrix. Z is initialized to the identity +*> matrix. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix. N >= 0. +*> \endverbatim +*> +*> \param[in,out] D +*> \verbatim +*> D is DOUBLE PRECISION array, dimension (N) +*> On entry, the diagonal elements of the tridiagonal matrix. +*> On exit, if INFO = 0, the eigenvalues in ascending order. +*> \endverbatim +*> +*> \param[in,out] E +*> \verbatim +*> E is DOUBLE PRECISION array, dimension (N-1) +*> On entry, the (n-1) subdiagonal elements of the tridiagonal +*> matrix. +*> On exit, E has been destroyed. +*> \endverbatim +*> +*> \param[in,out] Z +*> \verbatim +*> Z is DOUBLE PRECISION array, dimension (LDZ, N) +*> On entry, if COMPZ = 'V', then Z contains the orthogonal +*> matrix used in the reduction to tridiagonal form. +*> On exit, if INFO = 0, then if COMPZ = 'V', Z contains the +*> orthonormal eigenvectors of the original symmetric matrix, +*> and if COMPZ = 'I', Z contains the orthonormal eigenvectors +*> of the symmetric tridiagonal matrix. +*> If COMPZ = 'N', then Z is not referenced. +*> \endverbatim +*> +*> \param[in] LDZ +*> \verbatim +*> LDZ is INTEGER +*> The leading dimension of the array Z. LDZ >= 1, and if +*> eigenvectors are desired, then LDZ >= max(1,N). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (max(1,2*N-2)) +*> If COMPZ = 'N', then WORK is not referenced. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> > 0: the algorithm has failed to find all the eigenvalues in +*> a total of 30*N iterations; if INFO = i, then i +*> elements of E have not converged to zero; on exit, D +*> and E contain the elements of a symmetric tridiagonal +*> matrix which is orthogonally similar to the original +*> matrix. +*> \endverbatim +*> +* +* Authors +* ======= +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup auxOTHERcomputational +* +* ===================================================================== SUBROUTINE DSTEQR( COMPZ, N, D, E, Z, LDZ, 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 -- +* November 2011 * * .. Scalar Arguments .. CHARACTER COMPZ @@ -13,66 +136,6 @@ DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * ) * .. * -* Purpose -* ======= -* -* DSTEQR computes all eigenvalues and, optionally, eigenvectors of a -* symmetric tridiagonal matrix using the implicit QL or QR method. -* The eigenvectors of a full or band symmetric matrix can also be found -* if DSYTRD or DSPTRD or DSBTRD has been used to reduce this matrix to -* tridiagonal form. -* -* Arguments -* ========= -* -* COMPZ (input) CHARACTER*1 -* = 'N': Compute eigenvalues only. -* = 'V': Compute eigenvalues and eigenvectors of the original -* symmetric matrix. On entry, Z must contain the -* orthogonal matrix used to reduce the original matrix -* to tridiagonal form. -* = 'I': Compute eigenvalues and eigenvectors of the -* tridiagonal matrix. Z is initialized to the identity -* matrix. -* -* N (input) INTEGER -* The order of the matrix. N >= 0. -* -* D (input/output) DOUBLE PRECISION array, dimension (N) -* On entry, the diagonal elements of the tridiagonal matrix. -* On exit, if INFO = 0, the eigenvalues in ascending order. -* -* E (input/output) DOUBLE PRECISION array, dimension (N-1) -* On entry, the (n-1) subdiagonal elements of the tridiagonal -* matrix. -* On exit, E has been destroyed. -* -* Z (input/output) DOUBLE PRECISION array, dimension (LDZ, N) -* On entry, if COMPZ = 'V', then Z contains the orthogonal -* matrix used in the reduction to tridiagonal form. -* On exit, if INFO = 0, then if COMPZ = 'V', Z contains the -* orthonormal eigenvectors of the original symmetric matrix, -* and if COMPZ = 'I', Z contains the orthonormal eigenvectors -* of the symmetric tridiagonal matrix. -* If COMPZ = 'N', then Z is not referenced. -* -* LDZ (input) INTEGER -* The leading dimension of the array Z. LDZ >= 1, and if -* eigenvectors are desired, then LDZ >= max(1,N). -* -* WORK (workspace) DOUBLE PRECISION array, dimension (max(1,2*N-2)) -* If COMPZ = 'N', then WORK is not referenced. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: the algorithm has failed to find all the eigenvalues in -* a total of 30*N iterations; if INFO = i, then i -* elements of E have not converged to zero; on exit, D -* and E contain the elements of a symmetric tridiagonal -* matrix which is orthogonally similar to the original -* matrix. -* * ===================================================================== * * .. Parameters .. |