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ztpcon (3)
  • >> ztpcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ztpcon - estimate the reciprocal of the condition number  of
         a  packed  triangular  matrix A, in either the 1-norm or the
         infinity-norm
    
    SYNOPSIS
         SUBROUTINE ZTPCON( NORM, UPLO, DIAG,  N,  AP,  RCOND,  WORK,
                   RWORK, INFO )
    
         CHARACTER DIAG, NORM, UPLO
    
         INTEGER INFO, N
    
         DOUBLE PRECISION RCOND
    
         DOUBLE PRECISION RWORK( * )
    
         COMPLEX*16 AP( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void ztpcon(char norm, char uplo, char diag,  int  n,  doub-
                   lecomplex *zap, double *drcond, int *info) ;
    
    PURPOSE
         ZTPCON estimates the reciprocal of the condition number of a
         packed  triangular  matrix  A,  in  either the 1-norm or the
         infinity-norm.
    
         The norm of A is computed and an estimate  is  obtained  for
         norm(inv(A)), then 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.
    
         UPLO      (input) CHARACTER*1
                   = 'U':  A is upper triangular;
                   = 'L':  A is lower triangular.
    
         DIAG      (input) CHARACTER*1
                   = 'N':  A is non-unit triangular;
                   = 'U':  A is unit triangular.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         AP        (input) COMPLEX*16 array, dimension (N*(N+1)/2)
                   The upper or lower  triangular  matrix  A,  packed
                   columnwise  in a linear array.  The j-th column of
                   A is stored in the array AP as follows:  if UPLO =
                   'U',  AP(i  +  (j-1)*j/2) = A(i,j) for 1<=i<=j; if
                   UPLO = 'L', AP(i + (j-1)*(2n-j)/2)  =  A(i,j)  for
                   j<=i<=n.   If DIAG = 'U', the diagonal elements of
                   A are not referenced and are assumed to be 1.
    
         RCOND     (output) DOUBLE PRECISION
                   The reciprocal of  the  condition  number  of  the
                   matrix   A,  computed  as  RCOND  =  1/(norm(A)  *
                   norm(inv(A))).
    
         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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