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cggbak (3)
  • >> cggbak (3) ( Solaris man: Библиотечные вызовы )
  • 
    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, * )
    
    
    
         #include <sunperf.h>
    
         void cggbak(char job, char side, int n, int  ilo,  int  ihi,
                   float  *lscale,  float *rscale, int m, complex *v,
                   int ldv, int *info) ;
    
    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  per-
                   mutation 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  eigen-
                   vectors.
    
         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 ille-
                   gal value.
    
    FURTHER DETAILS
         See R.C. Ward, Balancing the generalized eigenvalue problem,
                        SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.
    
    
    
    


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