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dgebak(3P)		    Sun Performance Library		    dgebak(3P)

NAME
       dgebak  -  form the right or left eigenvectors of a real general matrix
       by backward transformation on the computed eigenvectors of the balanced
       matrix output by DGEBAL

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

       CHARACTER * 1 JOB, SIDE
       INTEGER N, ILO, IHI, M, LDV, INFO
       DOUBLE PRECISION SCALE(*), V(LDV,*)

       SUBROUTINE DGEBAK_64(JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

       void  dgebak(char  job,	char  side,  int  n,  int ilo, int ihi, double
		 *scale, int m, double *v, int ldv, int *info);

       void dgebak_64(char job, char side, long n, long ilo, long ihi,	double
		 *scale, long m, double *v, long ldv, long *info);

PURPOSE
       dgebak forms the right or left eigenvectors of a real general matrix by
       backward transformation on the computed eigenvectors  of	 the  balanced
       matrix output by DGEBAL.

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 DGEBAL.

       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 integers ILO and IHI determined by DGEBAL.	 1 <=  ILO  <=
		 IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

       IHI (input)
		 See the description for ILO.

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

       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 SHSEIN or STREVC.	 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			    dgebak(3P)
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