zgebak.f(3)

NAME
zgebak.f

SYNOPSIS

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

Function/Subroutine Documentation

  subroutine zgebak (character JOB, character SIDE, integer N, integer ILO, integer IHI, double precision, dimension( * ) SCALE, integer M, complex*16, dimension( ldv, * ) V, integer LDV, integer INFO)

Purpose:

     ZGEBAK forms the right or left eigenvectors of a complex general
     matrix by backward transformation on the computed eigenvectors of the
     balanced matrix output by ZGEBAL.

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 ZGEBAL.

    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 ZGEBAL.
              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 ZGEBAL.

    M

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

    V

              V is COMPLEX*16 array, dimension (LDV,M)
              On entry, the matrix of right or left eigenvectors to be
              transformed, as returned by ZHSEIN or ZTREVC.
              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.

Definition at line 129 of file zgebak.f.

Author

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