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RedHat 9 (Linux i386) - man page for zggbak (redhat section l)

ZGGBAK(l)					)					ZGGBAK(l)

NAME
       ZGGBAK  -  form the right or left eigenvectors of a complex generalized eigenvalue problem
       A*x = lambda*B*x, by backward transformation on the computed eigenvectors of the  balanced
       pair of matrices output by ZGGBAL

SYNOPSIS
       SUBROUTINE ZGGBAK( JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO )

	   CHARACTER	  JOB, SIDE

	   INTEGER	  IHI, ILO, INFO, LDV, M, N

	   DOUBLE	  PRECISION LSCALE( * ), RSCALE( * )

	   COMPLEX*16	  V( LDV, * )

PURPOSE
       ZGGBAK  forms  the  right or left eigenvectors of a complex generalized eigenvalue problem
       A*x = lambda*B*x, by backward transformation on the computed eigenvectors of the  balanced
       pair of matrices output by ZGGBAL.

ARGUMENTS
       JOB     (input) CHARACTER*1
	       Specifies the type of backward transformation required:
	       = 'N':  do nothing, return immediately;
	       = 'P':  do backward transformation for permutation only;
	       = 'S':  do backward transformation for scaling only;
	       = 'B':  do backward transformations for both permutation and scaling.  JOB must be
	       the same as the argument JOB supplied to ZGGBAL.

       SIDE    (input) CHARACTER*1
	       = 'R':  V contains right eigenvectors;
	       = 'L':  V contains left eigenvectors.

       N       (input) INTEGER
	       The number of rows of the matrix V.  N >= 0.

       ILO     (input) INTEGER
	       IHI     (input) INTEGER The integers ILO and IHI determined by ZGGBAL.  1  <=  ILO
	       <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

       LSCALE  (input) DOUBLE PRECISION array, dimension (N)
	       Details	of  the permutations and/or scaling factors applied to the left side of A
	       and B, as returned by ZGGBAL.

       RSCALE  (input) DOUBLE PRECISION array, dimension (N)
	       Details of the permutations and/or scaling factors applied to the right side of	A
	       and B, as returned by ZGGBAL.

       M       (input) INTEGER
	       The number of columns of the matrix V.  M >= 0.

       V       (input/output) COMPLEX*16 array, dimension (LDV,M)
	       On  entry, the matrix of right or left eigenvectors to be transformed, as returned
	       by ZTGEVC.  On exit, V is overwritten by the transformed eigenvectors.

       LDV     (input) INTEGER
	       The leading dimension of the matrix V. LDV >= max(1,N).

       INFO    (output) INTEGER
	       = 0:  successful exit.
	       < 0:  if INFO = -i, the i-th argument had an illegal value.

FURTHER DETAILS
       See R.C. Ward, Balancing the generalized eigenvalue problem,
		      SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.

LAPACK version 3.0			   15 June 2000 				ZGGBAK(l)


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