_BALBAK(3F)							   _BALBAK(3F)

NAME    [Toc]    [Back]

     BALBAK, SBALBAK  -	 EISPACK rotuine.  This	subroutine forms the
     eigenvectors of a REAL GENERAL matrix by back transforming	those of the
     corresponding balanced matrix determined by  BALANC.

SYNOPSYS    [Toc]    [Back]

	  subroutine  balbak(nm, n, low, igh, scale, m,	z)
	  integer	   nm, n, low, igh, m
	  double precision scale(n), z(nm,m)

	  subroutine sbalbak(nm, n, low, igh, scale, m,	z)
	  integer	   nm, n, low, igh, m
	  real		   scale(n), z(nm,m)

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  BALANC.

     SCALE contains information	determining the	permutations and scaling
     factors used by  BALANC.

     M is the number of	columns	of Z to	be back	transformed.

     Z contains	the real and imaginary parts of	the eigen- vectors to be back
     transformed in its	first M	columns.  On OUTPUT

     Z contains	the real and imaginary parts of	the transformed	eigenvectors
     in	its first M columns.  Questions	and comments should be directed	to B.
     S.	Garbow,	Applied	Mathematics Division, ARGONNE NATIONAL LABORATORY


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