ELMHES(3F)

NAME
     elmhes, selmhes  -  EISPACK routine.  Given a REAL GENERAL matrix, this
     subroutine reduces a submatrix situated in rows and columns LOW through
     IGH to upper Hessenberg form by stabilized elementary similarity
     transformations.


SYNOPSYS
          subroutine  elmhes(nm, n, low, igh, a, int)
          integer          nm, n, low, igh, int(igh)
          double precision a(nm,n)

          subroutine selmhes(nm, n, low, igh, a, int)
          integer          nm, n, low, igh, int(igh)
          real             a(nm,n)



DESCRIPTION
     On INPUT

     NM must be set to the row dimension of two-dimensional array parameters
     as declared in the calling program dimension statement.

     N is the order of the matrix.

     LOW and IGH are integers determined by the balancing subroutine  BALANC.
     If  BALANC  has not been used, set LOW=1, IGH=N.

     A contains the input matrix. On OUTPUT

     A contains the Hessenberg matrix.  The multipliers which were used in the
     reduction are stored in the remaining triangle under the Hessenberg
     matrix.

     INT contains information on the rows and columns interchanged in the
     reduction.  Only elements LOW through IGH are used.  Questions and
     comments should be directed to B. S. Garbow, APPLIED MATHEMATICS
     DIVISION, ARGONNE NATIONAL LABORATORY