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zpocon (3)
  • >> zpocon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zpocon - estimate the reciprocal of the condition number (in
         the  1-norm) of a complex Hermitian positive definite matrix
         using the Cholesky factorization A = U**H*U or  A  =  L*L**H
         computed by ZPOTRF
    
    SYNOPSIS
         SUBROUTINE ZPOCON( UPLO, N,  A,  LDA,  ANORM,  RCOND,  WORK,
                   RWORK, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, LDA, N
    
         DOUBLE PRECISION ANORM, RCOND
    
         DOUBLE PRECISION RWORK( * )
    
         COMPLEX*16 A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void zpocon(char uplo, int n, doublecomplex *za, int lda,
                    double anorm, double *drcond, int *info) ;
    
    PURPOSE
         ZPOCON estimates the reciprocal of the condition number  (in
         the  1-norm) of a complex Hermitian positive definite matrix
         using the Cholesky factorization A = U**H*U or  A  =  L*L**H
         computed by ZPOTRF.
    
         An estimate is obtained for norm(inv(A)), and the reciprocal
         of  the condition number is computed as RCOND = 1 / (ANORM *
         norm(inv(A))).
    
    
    ARGUMENTS
         UPLO      (input) CHARACTER*1
                   = 'U':  Upper triangle of A is stored;
                   = 'L':  Lower triangle of A is stored.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The triangular factor U or  L  from  the  Cholesky
                   factorization  A  =  U**H*U or A = L*L**H, as com-
                   puted by ZPOTRF.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         ANORM     (input) DOUBLE PRECISION
                   The 1-norm (or  infinity-norm)  of  the  Hermitian
                   matrix A.
    
         RCOND     (output) DOUBLE PRECISION
                   The reciprocal of  the  condition  number  of  the
                   matrix  A, computed as RCOND = 1/(ANORM * AINVNM),
                   where AINVNM is  an  estimate  of  the  1-norm  of
                   inv(A) computed in this routine.
    
         WORK      (workspace) COMPLEX*16 array, dimension (2*N)
    
         RWORK     (workspace) DOUBLE PRECISION array, dimension (N)
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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