_ELMHES(3F)							   _ELMHES(3F)

NAME    [Toc]    [Back]

     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    [Toc]    [Back]

	  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    [Toc]    [Back]

     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
_ELMHES(3F)							   _ELMHES(3F)

NAME    [Toc]    [Back]

     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    [Toc]    [Back]

	  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    [Toc]    [Back]

     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


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