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ztrcon (3)
  • >> ztrcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ztrcon - estimate the reciprocal of the condition number  of
         a   triangular  matrix  A,  in  either  the  1-norm  or  the
         infinity-norm
    
    SYNOPSIS
         SUBROUTINE ZTRCON( NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK,
                   RWORK, INFO )
    
         CHARACTER DIAG, NORM, UPLO
    
         INTEGER INFO, LDA, N
    
         DOUBLE PRECISION RCOND
    
         DOUBLE PRECISION RWORK( * )
    
         COMPLEX*16 A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void ztrcon(char norm, char uplo, char diag,  int  n,  doub-
                   lecomplex   *za,  int  lda,  double  *drcond,  int
                   *info);
    
    PURPOSE
         ZTRCON estimates the reciprocal of the condition number of a
         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.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The triangular matrix A.  If UPLO = 'U', the lead-
                   ing  N-by-N  upper  triangular part of the array A
                   contains the  upper  triangular  matrix,  and  the
                   strictly  lower triangular part of A is not refer-
                   enced.  If UPLO = 'L', the  leading  N-by-N  lower
                   triangular  part of the array A contains the lower
                   triangular matrix, and the strictly upper triangu-
                   lar  part  of A is not referenced.  If DIAG = 'U',
                   the diagonal elements of A are also not referenced
                   and are assumed to be 1.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         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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