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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE SGGBAK( JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V,
- $ LDV, 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 ..
- CHARACTER JOB, SIDE
- INTEGER IHI, ILO, INFO, LDV, M, N
-* ..
-* .. Array Arguments ..
- REAL LSCALE( * ), RSCALE( * ), V( LDV, * )
-* ..
-*
+*> \brief \b SGGBAK
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE SGGBAK( JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V,
+* LDV, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER JOB, SIDE
+* INTEGER IHI, ILO, INFO, LDV, M, N
+* ..
+* .. Array Arguments ..
+* REAL LSCALE( * ), RSCALE( * ), V( LDV, * )
+* ..
+*
* Purpose
* =======
*
-* SGGBAK forms the right or left eigenvectors of a real generalized
-* eigenvalue problem A*x = lambda*B*x, by backward transformation on
-* the computed eigenvectors of the balanced pair of matrices output by
-* SGGBAL.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> SGGBAK forms the right or left eigenvectors of a real generalized
+*> eigenvalue problem A*x = lambda*B*x, by backward transformation on
+*> the computed eigenvectors of the balanced pair of matrices output by
+*> SGGBAL.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* JOB (input) CHARACTER*1
-* Specifies the type of backward transformation required:
-* = 'N': do nothing, return immediately;
-* = 'P': do backward transformation for permutation only;
-* = 'S': do backward transformation for scaling only;
-* = 'B': do backward transformations for both permutation and
-* scaling.
-* JOB must be the same as the argument JOB supplied to SGGBAL.
-*
-* SIDE (input) CHARACTER*1
-* = 'R': V contains right eigenvectors;
-* = 'L': V contains left eigenvectors.
-*
-* N (input) INTEGER
-* The number of rows of the matrix V. N >= 0.
-*
-* ILO (input) INTEGER
-*
-* IHI (input) INTEGER
-* The integers ILO and IHI determined by SGGBAL.
-* 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
-*
-* LSCALE (input) REAL array, dimension (N)
-* Details of the permutations and/or scaling factors applied
-* to the left side of A and B, as returned by SGGBAL.
-*
-* RSCALE (input) REAL array, dimension (N)
-* Details of the permutations and/or scaling factors applied
-* to the right side of A and B, as returned by SGGBAL.
+*> \param[in] JOB
+*> \verbatim
+*> JOB is CHARACTER*1
+*> Specifies the type of backward transformation required:
+*> = 'N': do nothing, return immediately;
+*> = 'P': do backward transformation for permutation only;
+*> = 'S': do backward transformation for scaling only;
+*> = 'B': do backward transformations for both permutation and
+*> scaling.
+*> JOB must be the same as the argument JOB supplied to SGGBAL.
+*> \endverbatim
+*>
+*> \param[in] SIDE
+*> \verbatim
+*> SIDE is CHARACTER*1
+*> = 'R': V contains right eigenvectors;
+*> = 'L': V contains left eigenvectors.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of rows of the matrix V. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] ILO
+*> \verbatim
+*> ILO is INTEGER
+*> \endverbatim
+*>
+*> \param[in] IHI
+*> \verbatim
+*> IHI is INTEGER
+*> The integers ILO and IHI determined by SGGBAL.
+*> 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
+*> \endverbatim
+*>
+*> \param[in] LSCALE
+*> \verbatim
+*> LSCALE is REAL array, dimension (N)
+*> Details of the permutations and/or scaling factors applied
+*> to the left side of A and B, as returned by SGGBAL.
+*> \endverbatim
+*>
+*> \param[in] RSCALE
+*> \verbatim
+*> RSCALE is REAL array, dimension (N)
+*> Details of the permutations and/or scaling factors applied
+*> to the right side of A and B, as returned by SGGBAL.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of columns of the matrix V. M >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] V
+*> \verbatim
+*> V is REAL array, dimension (LDV,M)
+*> On entry, the matrix of right or left eigenvectors to be
+*> transformed, as returned by STGEVC.
+*> On exit, V is overwritten by the transformed eigenvectors.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*> LDV is INTEGER
+*> The leading dimension of the matrix V. LDV >= max(1,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
+* =======
*
-* M (input) INTEGER
-* The number of columns of the matrix V. M >= 0.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* V (input/output) REAL array, dimension (LDV,M)
-* On entry, the matrix of right or left eigenvectors to be
-* transformed, as returned by STGEVC.
-* On exit, V is overwritten by the transformed eigenvectors.
+*> \date November 2011
*
-* LDV (input) INTEGER
-* The leading dimension of the matrix V. LDV >= max(1,N).
+*> \ingroup realGBcomputational
*
-* 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
+*>
+*> See R.C. Ward, Balancing the generalized eigenvalue problem,
+*> SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE SGGBAK( JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V,
+ $ LDV, INFO )
*
-* See R.C. Ward, Balancing the generalized eigenvalue problem,
-* SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.
+* -- 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
+*
+* .. Scalar Arguments ..
+ CHARACTER JOB, SIDE
+ INTEGER IHI, ILO, INFO, LDV, M, N
+* ..
+* .. Array Arguments ..
+ REAL LSCALE( * ), RSCALE( * ), V( LDV, * )
+* ..
*
* =====================================================================
*