cggbak.f(3) [centos man page]

cggbak.f(3)							      LAPACK							       cggbak.f(3)

NAME

       cggbak.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO)
	   CGGBAK

Function/Subroutine Documentation
   subroutine cggbak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )LSCALE, real, dimension( * )RSCALE,
       integerM, complex, dimension( ldv, * )V, integerLDV, integerINFO)
       CGGBAK

       Purpose:

	    CGGBAK 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
	    CGGBAL.

       Parameters:
	   JOB

		     JOB is 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 CGGBAL.

	   SIDE

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

	   N

		     N is INTEGER
		     The number of rows of the matrix V.  N >= 0.

	   ILO

		     ILO is INTEGER

	   IHI

		     IHI is INTEGER
		     The integers ILO and IHI determined by CGGBAL.
		     1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

	   LSCALE

		     LSCALE is REAL array, dimension (N)
		     Details of the permutations and/or scaling factors applied
		     to the left side of A and B, as returned by CGGBAL.

	   RSCALE

		     RSCALE is REAL array, dimension (N)
		     Details of the permutations and/or scaling factors applied
		     to the right side of A and B, as returned by CGGBAL.

	   M

		     M is INTEGER
		     The number of columns of the matrix V.  M >= 0.

	   V

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

	   LDV

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

	   INFO

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

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

       Definition at line 148 of file cggbak.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       cggbak.f(3)

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CGGBAK(l)								 )								 CGGBAK(l)

NAME

       CGGBAK  -  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 CGGBAL

SYNOPSIS

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

	   CHARACTER	  JOB, SIDE

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

	   REAL 	  LSCALE( * ), RSCALE( * )

	   COMPLEX	  V( LDV, * )

PURPOSE

       CGGBAK 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 CGGBAL.

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 CGGBAL.

       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 CGGBAL.  1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

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

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

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

       V       (input/output) COMPLEX array, dimension (LDV,M)
	       On  entry,  the	matrix	of  right or left eigenvectors to be transformed, as returned by CTGEVC.  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 							 CGGBAK(l)

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cggbak.f(3) [centos man page]

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