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cspcon (3)
  • >> cspcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         cspcon - estimate the reciprocal of the condition number (in
         the 1-norm) of a complex symmetric packed matrix A using the
         factorization A = U*D*U**T  or  A  =  L*D*L**T  computed  by
         CSPTRF
    
    SYNOPSIS
         SUBROUTINE CSPCON( UPLO, N, AP, IPIV,  ANORM,  RCOND,  WORK,
                   INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, N
    
         REAL ANORM, RCOND
    
         INTEGER IPIV( * )
    
         COMPLEX AP( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void cspcon(char uplo, int n,  complex  *cap,  int  *ipivot,
                   float anorm, float *srcond, int *info);
    
    PURPOSE
         CSPCON estimates the reciprocal of the condition number  (in
         the 1-norm) of a complex symmetric packed matrix A using the
         factorization A = U*D*U**T  or  A  =  L*D*L**T  computed  by
         CSPTRF.
    
         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.
    
         AP        (input) COMPLEX array, dimension (N*(N+1)/2)
                   The block diagonal matrix D  and  the  multipliers
                   used  to  obtain  the factor U or L as computed by
                   CSPTRF, stored as a packed triangular matrix.
    
         IPIV      (input) INTEGER array, dimension (N)
                   Details of the interchanges and the  block  struc-
                   ture of D as determined by CSPTRF.
    
         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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