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CGEBAK(1)		 LAPACK routine (version 3.2)		     CGEBAK(1)

NAME
       CGEBAK  -  forms	 the  right  or left eigenvectors of a complex general
       matrix by backward transformation on the computed eigenvectors  of  the
       balanced matrix output by CGEBAL

SYNOPSIS
       SUBROUTINE CGEBAK( JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO )

	   CHARACTER	  JOB, SIDE

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

	   REAL		  SCALE( * )

	   COMPLEX	  V( LDV, * )

PURPOSE
       CGEBAK forms the right or left eigenvectors of a complex general matrix
       by backward transformation on the computed eigenvectors of the balanced
       matrix output by CGEBAL.

ARGUMENTS
       JOB     (input) CHARACTER*1
	       Specifies  the type of backward transformation required: = 'N',
	       do nothing, return immediately; = 'P', do backward  transforma‐
	       tion  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 CGEBAL.

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

       SCALE   (input) REAL array, dimension (N)
	       Details of the permutation and scaling factors, as returned  by
	       CGEBAL.

       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 trans‐
	       formed, as returned by CHSEIN or CTREVC.	 On exit, V  is	 over‐
	       written by the transformed eigenvectors.

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

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

 LAPACK routine (version 3.2)	 November 2008			     CGEBAK(1)
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