.TH "cggbak.f" 3 "Tue Nov 14 2017" "Version 3.8.0" "LAPACK" \" -*- nroff -*-
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.SH NAME
cggbak.f
.SH SYNOPSIS
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.SS "Functions/Subroutines"

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.RI "subroutine \fBcggbak\fP (JOB, SIDE, \fBN\fP, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO)"
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.RI "\fBCGGBAK\fP "
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.SH "Function/Subroutine Documentation"
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.SS "subroutine cggbak (character JOB, character SIDE, integer N, integer ILO, integer IHI, real, dimension( * ) LSCALE, real, dimension( * ) RSCALE, integer M, complex, dimension( ldv, * ) V, integer LDV, integer INFO)"

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\fBCGGBAK\fP  
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\fBPurpose: \fP
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.nf
 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.
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.RE
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\fBParameters:\fP
.RS 4
\fIJOB\fP 
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          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.
.fi
.PP
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\fISIDE\fP 
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          SIDE is CHARACTER*1
          = 'R':  V contains right eigenvectors;
          = 'L':  V contains left eigenvectors.
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\fIN\fP 
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          N is INTEGER
          The number of rows of the matrix V.  N >= 0.
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\fIILO\fP 
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          ILO is INTEGER
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\fIIHI\fP 
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          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.
.fi
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\fILSCALE\fP 
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          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.
.fi
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\fIRSCALE\fP 
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          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.
.fi
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\fIM\fP 
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          M is INTEGER
          The number of columns of the matrix V.  M >= 0.
.fi
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\fIV\fP 
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          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.
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\fILDV\fP 
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          LDV is INTEGER
          The leading dimension of the matrix V. LDV >= max(1,N).
.fi
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\fIINFO\fP 
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          INFO is INTEGER
          = 0:  successful exit.
          < 0:  if INFO = -i, the i-th argument had an illegal value.
.fi
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.RE
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\fBAuthor:\fP
.RS 4
Univ\&. of Tennessee 
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Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
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\fBDate:\fP
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December 2016 
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\fBFurther Details: \fP
.RS 4

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  See R.C. Ward, Balancing the generalized eigenvalue problem,
                 SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.
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.RE
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Definition at line 150 of file cggbak\&.f\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.
