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ztbcon (3)
  • >> ztbcon (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         ztbcon - estimate the reciprocal of the condition number  of
         a  triangular  band  matrix  A,  in either the 1-norm or the
         infinity-norm
    
    SYNOPSIS
         SUBROUTINE ZTBCON( NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND,
                   WORK, RWORK, INFO )
    
         CHARACTER DIAG, NORM, UPLO
    
         INTEGER INFO, KD, LDAB, N
    
         DOUBLE PRECISION RCOND
    
         DOUBLE PRECISION RWORK( * )
    
         COMPLEX*16 AB( LDAB, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void ztbcon(char norm, char uplo, char diag, int n, int  kd,
                   doublecomplex  *zab, int ldab, double *drcond, int
                   *info) ;
    
    PURPOSE
         ZTBCON estimates the reciprocal of the condition number of a
         triangular  band  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.
    
         KD        (input) INTEGER
                   The number of superdiagonals  or  subdiagonals  of
                   the triangular band matrix A.  KD >= 0.
    
         AB        (input) COMPLEX*16 array, dimension (LDAB,N)
                   The upper  or  lower  triangular  band  matrix  A,
                   stored  in  the  first kd+1 rows of the array. The
                   j-th column of A is stored in the j-th  column  of
                   the   array   AB  as  follows:   if  UPLO  =  'U',
                   AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;  if
                   UPLO   =   'L',   AB(1+i-j,j)      =   A(i,j)  for
                   j<=i<=min(n,j+kd).  If DIAG =  'U',  the  diagonal
                   elements  of  A are not referenced and are assumed
                   to be 1.
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   KD+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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