_REBAK(3F)							    _REBAK(3F)

NAME    [Toc]    [Back]

     REBAK, SREBAK   -	EISPACK	routine.  This subroutine forms	the
     eigenvectors of a generalized SYMMETRIC eigensystem by back transforming
     those of the derived symmetric matrix determined by  REDUC.

SYNOPSYS    [Toc]    [Back]

	  subroutine  rebak(nm,	n, b, dl, m, z)
	  integer	   nm, n, m
	  double precision b(nm,n), dl(n), z(nm,m)

	  subroutine srebak(nm,	n, b, dl, m, z)
	  integer	   nm, n, m
	  real		   b(nm,n), dl(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 system.

     B contains	information about the similarity transformation	(Cholesky
     decomposition) used in the	reduction by  REDUC in its strict lower
     triangle.

     DL	contains further information about the transformation.

     M is the number of	eigenvectors to	be back	transformed.

     Z contains	the eigenvectors to be back transformed	in its first M
     columns.  On Output

     Z contains	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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