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cgecon (3)
  • >> cgecon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         cgecon - estimate the reciprocal of the condition number  of
         a  general  complex  matrix  A,  in either the 1-norm or the
         infinity-norm, using the LU factorization computed by CGETRF
    
    SYNOPSIS
         SUBROUTINE CGECON( NORM, N,  A,  LDA,  ANORM,  RCOND,  WORK,
                   RWORK, INFO )
    
         CHARACTER NORM
    
         INTEGER INFO, LDA, N
    
         REAL ANORM, RCOND
    
         REAL RWORK( * )
    
         COMPLEX A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void cgecon(char norm, int n, complex *ca,  int  lda,  float
                   anorm, float *srcond, int *info) ;
    
    PURPOSE
         CGECON estimates the reciprocal of the condition number of a
         general  complex  matrix  A,  in  either  the  1-norm or the
         infinity-norm,  using  the  LU  factorization  computed   by
         CGETRF.
    
         An estimate is obtained for norm(inv(A)), and the reciprocal
         of the condition number is computed as
            RCOND = 1 / ( norm(A) * norm(inv(A)) ).
    
    
    ARGUMENTS
         NORM      (input) CHARACTER*1
                   Specifies whether the 1-norm condition  number  or
                   the infinity-norm condition number is required:
                   = '1' or 'O':  1-norm;
                   = 'I':         Infinity-norm.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         A         (input) COMPLEX array, dimension (LDA,N)
                   The factors L and U from  the  factorization  A  =
                   P*L*U as computed by CGETRF.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         ANORM     (input) REAL
                   If NORM = '1' or 'O', the 1-norm of  the  original
                   matrix A.  If NORM = 'I', the infinity-norm of the
                   original matrix A.
    
         RCOND     (output) REAL
                   The reciprocal of  the  condition  number  of  the
                   matrix   A,  computed  as  RCOND  =  1/(norm(A)  *
                   norm(inv(A))).
    
         WORK      (workspace) COMPLEX array, dimension (2*N)
    
         RWORK     (workspace) REAL array, dimension (2*N)
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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