_ORTHES(3F)							   _ORTHES(3F)

NAME    [Toc]    [Back]

     ORTHES, SORTHES  -	 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 orthogonal	similarity transformations.

SYNOPSYS    [Toc]    [Back]

	  subroutine  orthes(nm, n, low, igh, a, ort)
	  integer	   nm, n, low, igh
	  double precision a(nm,n), ort(igh)

	  subroutine sorthes(nm, n, low, igh, a, ort)
	  integer	   nm, n, low, igh
	  real		   a(nm,n), ort(igh)

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.	Information about the orthogonal
     transformations used in the reduction is stored in	the remaining triangle
     under the Hessenberg matrix.

     ORT contains further information about the	transformations. 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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