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dpttrf (3)
  • >> dpttrf (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dpttrf - compute the factorization of a real symmetric posi-
         tive definite tridiagonal matrix A
    
    SYNOPSIS
         SUBROUTINE DPTTRF( N, D, E, INFO )
    
         INTEGER INFO, N
    
         DOUBLE PRECISION D( * ), E( * )
    
    
    
         #include <sunperf.h>
    
         void dpttrf(int n, double *d, double *e, int *info) ;
    
    PURPOSE
         DPTTRF computes the factorization of a real symmetric  posi-
         tive definite tridiagonal matrix A.
    
         If the subdiagonal elements of A are supplied in  the  array
         E,  the  factorization has the form A = L*D*L**T, where D is
         diagonal and L is unit lower bidiagonal; if the  superdiago-
         nal  elements  of  A  are  supplied,  it  has  the  form A =
         U**T*D*U, where U is unit upper bidiagonal.  (The two  forms
         are equivalent if A is real.)
    
    
    ARGUMENTS
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         D         (input/output) DOUBLE PRECISION  array,  dimension
                   (N)
                   On entry, the n diagonal elements of the tridiago-
                   nal matrix A.  On exit, the n diagonal elements of
                   the diagonal matrix D from the L*D*L**T factoriza-
                   tion of A.
    
         E         (input/output) DOUBLE PRECISION  array,  dimension
                   (N-1)
                   On entry, the (n-1) off-diagonal elements  of  the
                   tridiagonal  matrix  A.   On  exit, the (n-1) off-
                   diagonal elements of the unit bidiagonal factor  L
                   or U from the factorization of A.
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
                   > 0:  if INFO = i, the leading minor of order i is
                   not positive definite; if i < N, the factorization
                   could not be completed, while if i = N,  the  fac-
                   torization was completed, but D(N) = 0.
    
    
    
    


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