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sgbcon (3)
  • >> sgbcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sgbcon - estimate the reciprocal of the condition number  of
         a  real  general  band matrix A, in either the 1-norm or the
         infinity-norm,
    
    SYNOPSIS
         SUBROUTINE SGBCON( NORM, N, KL, KU, AB, LDAB,  IPIV,  ANORM,
                   RCOND, WORK, IWORK, INFO )
    
         CHARACTER NORM
    
         INTEGER INFO, KL, KU, LDAB, N
    
         REAL ANORM, RCOND
    
         INTEGER IPIV( * ), IWORK( * )
    
         REAL AB( LDAB, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void sgbcon(char norm, int n, int kl, int  ku,  float  *sab,
                   int ldab, int *ipivot, float anorm, float *srcond,
                   int *info) ;
    
    PURPOSE
         SGBCON estimates the reciprocal of the condition number of a
         real  general  band  matrix  A,  in either the 1-norm or the
         infinity-norm,  using  the  LU  factorization  computed   by
         SGBTRF.
    
         An estimate is obtained for norm(inv(A)), and 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.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         KL        (input) INTEGER
                   The number of subdiagonals within the band  of  A.
                   KL >= 0.
    
         KU        (input) INTEGER
                   The number of superdiagonals within the band of A.
                   KU >= 0.
    
         AB        (input) REAL array, dimension (LDAB,N)
                   Details of the LU factorization of the band matrix
                   A, as computed by SGBTRF.  U is stored as an upper
                   triangular band matrix with  KL+KU  superdiagonals
                   in  rows  1  to  KL+KU+1, and the multipliers used
                   during  the  factorization  are  stored  in   rows
                   KL+KU+2 to 2*KL+KU+1.
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   2*KL+KU+1.
    
         IPIV      (input) INTEGER array, dimension (N)
                   The pivot indices; for 1 <= i <= N, row i  of  the
                   matrix was interchanged with row IPIV(i).
    
         ANORM     (input) REAL
                   If NORM = '1' or 'O', the 1-norm of  the  original
                   matrix A.  If NORM = 'I', the infinity-norm of the
                   original matrix A.
    
         RCOND     (output) REAL
                   The reciprocal of  the  condition  number  of  the
                   matrix   A,  computed  as  RCOND  =  1/(norm(A)  *
                   norm(inv(A))).
    
         WORK      (workspace) REAL array, dimension (3*N)
    
         IWORK     (workspace) INTEGER 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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