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zhecon (3)
  • >> zhecon (3) ( Solaris man: Библиотечные вызовы )
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    NAME
         zhecon - estimate the reciprocal of the condition number  of
         a  complex  Hermitian  matrix  A using the factorization A =
         U*D*U**H or A = L*D*L**H computed by ZHETRF
    
    SYNOPSIS
         SUBROUTINE ZHECON( UPLO, N,  A,  LDA,  IPIV,  ANORM,  RCOND,
                   WORK, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, LDA, N
    
         DOUBLE PRECISION ANORM, RCOND
    
         INTEGER IPIV( * )
    
         COMPLEX*16 A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void zhecon(char uplo, int n, doublecomplex  *za,  int  lda,
                   int  *ipivot,  double  anorm,  double *drcond, int
                   *info);
    
    PURPOSE
         ZHECON estimates the reciprocal of the condition number of a
         complex  Hermitian  matrix  A  using  the  factorization A =
         U*D*U**H or A = L*D*L**H computed by ZHETRF.
    
         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
                   Specifies whether the details of the factorization
                   are stored as an upper or lower triangular matrix.
                   = 'U':  Upper triangular, form is A = U*D*U**H;
                   = 'L':  Lower triangular, form is A = L*D*L**H.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The block diagonal matrix D  and  the  multipliers
                   used  to  obtain  the factor U or L as computed by
                   ZHETRF.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         IPIV      (input) INTEGER array, dimension (N)
                   Details of the interchanges and the  block  struc-
                   ture of D as determined by ZHETRF.
    
         ANORM     (input) DOUBLE PRECISION
                   The 1-norm of the original 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)
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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