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zppcon (3)
  • >> zppcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zppcon - estimate the reciprocal of the condition number (in
         the  1-norm) of a complex Hermitian positive definite packed
         matrix using the Cholesky factorization A = U**H*U  or  A  =
         L*L**H computed by ZPPTRF
    
    SYNOPSIS
         SUBROUTINE ZPPCON( UPLO, N, AP, ANORM, RCOND,  WORK,  RWORK,
                   INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, N
    
         DOUBLE PRECISION ANORM, RCOND
    
         DOUBLE PRECISION RWORK( * )
    
         COMPLEX*16 AP( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void zppcon(char uplo, int  n,  doublecomplex  *zap,  double
                   anorm, double *drcond, int *info);
    
    PURPOSE
         ZPPCON estimates the reciprocal of the condition number  (in
         the  1-norm) of a complex Hermitian positive definite packed
         matrix using the Cholesky factorization A = U**H*U  or  A  =
         L*L**H computed by ZPPTRF.
    
         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.
    
         AP        (input) COMPLEX*16 array, dimension (N*(N+1)/2)
                   The triangular factor U or  L  from  the  Cholesky
                   factorization  A  =  U**H*U  or A = L*L**H, packed
                   columnwise in a linear array.  The j-th column  of
                   U  or  L is stored in the array AP as follows:  if
                   UPLO  =  'U',  AP(i  +  (j-1)*j/2)  =  U(i,j)  for
                   1<=i<=j;  if  UPLO = 'L', AP(i + (j-1)*(2n-j)/2) =
                   L(i,j) for j<=i<=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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