_COMBAK(3F)							   _COMBAK(3F)

NAME    [Toc]    [Back]

     COMBAK, SCOMBAK  -	 EISPACK routine.  This	subroutine forms the
     eigenvectors of a COMPLEX GENERAL matrix by back transforming those of
     the corresponding upper Hessenberg	matrix determined by  COMHES.

SYNOPSYS    [Toc]    [Back]

	  subroutine  combak(nm, low, igh, ar, ai, int,	m, zr, zi)
	    integer	     nm, low, igh, m
	    double precision ar(nm,igh),ai(nm,igh),zr(nm,m),zi(nm,m)
	    integer	     int(igh)

	  subroutine scombak(nm, low, igh, ar, ai, int,	m, zr, zi)
	    integer	     nm, low, igh, m
	    real	     ar(nm,igh),ai(nm,igh),zr(nm,m),zi(nm,m)
	    integer	     int(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.

     LOW and IGH are integers determined by the	balancing subroutine  CBAL.
     If	 CBAL  has not been used, set LOW=1 and	IGH equal to the order of the
     matrix.

     AR	and AI contain the multipliers which were used in the reduction	by
     COMHES  in	their lower triangles below the	subdiagonal.

     INT contains information on the rows and columns interchanged in the
     reduction by  COMHES.  Only elements LOW through IGH are used.

     M is the number of	eigenvectors to	be back	transformed.

     ZR	and ZI contain the real	and imaginary parts, respectively, of the
     eigenvectors to be	back transformed in their first	M columns.  On OUTPUT

     ZR	and ZI contain the real	and imaginary parts, respectively, of the
     transformed eigenvectors in their first M columns.	 Questions and
     comments should be	directed to B. S. Garbow, APPLIED MATHEMATICS
     DIVISION, ARGONNE NATIONAL	LABORATORY


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