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cgebak(3P)		    Sun Performance Library		    cgebak(3P)

NAME
       cgebak  -  form	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 * 1 JOB, SIDE
       COMPLEX V(LDV,*)
       INTEGER N, ILO, IHI, M, LDV, INFO
       REAL SCALE(*)

       SUBROUTINE CGEBAK_64(JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO)

       CHARACTER * 1 JOB, SIDE
       COMPLEX V(LDV,*)
       INTEGER*8 N, ILO, IHI, M, LDV, INFO
       REAL SCALE(*)

   F95 INTERFACE
       SUBROUTINE GEBAK(JOB, SIDE, [N], ILO, IHI, SCALE, [M], V, [LDV],
	      [INFO])

       CHARACTER(LEN=1) :: JOB, SIDE
       COMPLEX, DIMENSION(:,:) :: V
       INTEGER :: N, ILO, IHI, M, LDV, INFO
       REAL, DIMENSION(:) :: SCALE

       SUBROUTINE GEBAK_64(JOB, SIDE, [N], ILO, IHI, SCALE, [M], V, [LDV],
	      [INFO])

       CHARACTER(LEN=1) :: JOB, SIDE
       COMPLEX, DIMENSION(:,:) :: V
       INTEGER(8) :: N, ILO, IHI, M, LDV, INFO
       REAL, DIMENSION(:) :: SCALE

   C INTERFACE
       #include <sunperf.h>

       void cgebak(char job, char side, int n, int ilo, int ihi, float *scale,
		 int m, complex *v, int ldv, int *info);

       void cgebak_64(char job, char side, long n, long ilo, long  ihi,	 float
		 *scale, long m, complex *v, long ldv, long *info);

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)
		 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 transfor‐
		 mations  for  both  permutation and scaling.  JOB must be the
		 same as the argument JOB supplied to CGEBAL.

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

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

       ILO (input)
		 The integer ILO determined by CGEBAL.	1 <= ILO <= IHI <=  N,
		 if N > 0; ILO=1 and IHI=0, if N=0.

       IHI (input)
		 The  integer IHI determined by CGEBAL.	 1 <= ILO <= IHI <= N,
		 if N > 0; ILO=1 and IHI=0, if N=0.

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

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

       V (input/output)
		 On  entry,  the  matrix  of  right or left eigenvectors to be
		 transformed, as returned by CHSEIN or CTREVC.	On exit, V  is
		 overwritten by the transformed eigenvectors.

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

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

				  6 Mar 2009			    cgebak(3P)

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