NAME

       dgebak.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO)
           DGEBAK

Function/Subroutine Documentation

   subroutine dgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, double
       precision, dimension( * )SCALE, integerM, double precision, dimension( ldv, * )V,
       integerLDV, integerINFO)
       DGEBAK

       Purpose:

            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 DGEBAL.

       Parameters:
           JOB

                     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 DGEBAL.

           SIDE

                     SIDE is CHARACTER*1
                     = 'R':  V contains right eigenvectors;
                     = 'L':  V contains left eigenvectors.

           N

                     N is INTEGER
                     The number of rows of the matrix V.  N >= 0.

           ILO

                     ILO is INTEGER

           IHI

                     IHI is INTEGER
                     The integers ILO and IHI determined by DGEBAL.
                     1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

           SCALE

                     SCALE is DOUBLE PRECISION array, dimension (N)
                     Details of the permutation and scaling factors, as returned
                     by DGEBAL.

           M

                     M is INTEGER
                     The number of columns of the matrix V.  M >= 0.

           V

                     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.

           LDV

                     LDV is INTEGER
                     The leading dimension of the array V. LDV >= max(1,N).

           INFO

                     INFO is INTEGER
                     = 0:  successful exit
                     < 0:  if INFO = -i, the i-th argument had an illegal value.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

       Definition at line 130 of file dgebak.f.

Author

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