ESMF_DGEBAK Subroutine

subroutine ESMF_DGEBAK(JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO)

\brief \b ESMF_DGEBAK \htmlonly Download ESMF_DGEBAK + dependencies [TGZ] [ZIP] [TXT] \endhtmlonly \par Purpose:

\verbatim

ESMF_DGEBAK forms the right or left eigenvectors of a real general matrix by backward transformation on the computed eigenvectors of the balanced matrix output by ESMF_DGEBAL. \endverbatim \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 ESMF_DGEBAL. \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 ESMF_DGEBAL. 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0. \endverbatim

\param[in] SCALE \verbatim SCALE is DOUBLE PRECISION array, dimension (N) Details of the permutation and scaling factors, as returned by ESMF_DGEBAL. \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 DOUBLE PRECISION array, dimension (LDV,M) On entry, the matrix of right or left eigenvectors to be transformed, as returned by DHSEIN or DTREVC. On exit, V is overwritten by the transformed eigenvectors. \endverbatim

\param[in] LDV \verbatim LDV is INTEGER The leading dimension of the array 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 \author Univ. of Tennessee \author Univ. of California Berkeley \author Univ. of Colorado Denver \author NAG Ltd. \date December 2016 \ingroup doubleGEcomputational

Arguments

Type IntentOptional Attributes Name
character(len=1) :: JOB
character(len=1) :: SIDE
integer :: N
integer :: ILO
integer :: IHI
double precision :: SCALE(*)
integer :: M
double precision :: V(LDV,*)
integer :: LDV
integer :: INFO