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csycon (3)
  • >> csycon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         csycon - estimate the reciprocal of the condition number (in
         the  1-norm)  of a complex symmetric matrix A using the fac-
         torization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
    
    SYNOPSIS
         SUBROUTINE CSYCON( UPLO, N,  A,  LDA,  IPIV,  ANORM,  RCOND,
                   WORK, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, LDA, N
    
         REAL ANORM, RCOND
    
         INTEGER IPIV( * )
    
         COMPLEX A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void csycon(char uplo, int n,  complex  *ca,  int  lda,  int
                   *ipivot, float anorm, float *srcond, int *info);
    
    PURPOSE
         CSYCON estimates the reciprocal of the condition number  (in
         the  1-norm)  of a complex symmetric matrix A using the fac-
         torization A = U*D*U**T or A = L*D*L**T computed by CSYTRF.
    
         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**T;
                   = 'L':  Lower triangular, form is A = L*D*L**T.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         A         (input) COMPLEX array, dimension (LDA,N)
                   The block diagonal matrix D  and  the  multipliers
                   used  to  obtain  the factor U or L as computed by
                   CSYTRF.
    
         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 CSYTRF.
    
         ANORM     (input) REAL
                   The 1-norm of the original matrix A.
    
         RCOND     (output) REAL
                   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 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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