Contents


NAME

     spttrf - compute the L*D*L' factorization  of  a  real  sym-
     metric positive definite tridiagonal matrix A

SYNOPSIS

     SUBROUTINE SPTTRF(N, DIAG, OFFD, INFO)

     INTEGER N, INFO
     REAL DIAG(*), OFFD(*)

     SUBROUTINE SPTTRF_64(N, DIAG, OFFD, INFO)

     INTEGER*8 N, INFO
     REAL DIAG(*), OFFD(*)

  F95 INTERFACE
     SUBROUTINE PTTRF([N], DIAG, OFFD, [INFO])

     INTEGER :: N, INFO
     REAL, DIMENSION(:) :: DIAG, OFFD

     SUBROUTINE PTTRF_64([N], DIAG, OFFD, [INFO])

     INTEGER(8) :: N, INFO
     REAL, DIMENSION(:) :: DIAG, OFFD

  C INTERFACE
     #include <sunperf.h>

     void spttrf(int n, float *diag, float *offd, int *info);

     void  spttrf_64(long  n,  float  *diag,  float  *offd,  long
               *info);

PURPOSE

     spttrf computes the L*D*L' factorization of a real symmetric
     positive  definite  tridiagonal matrix A.  The factorization
     may also be regarded as having the form A = U'*D*U.

ARGUMENTS

     N (input) The order of the matrix A.  N >= 0.

     DIAG (input/output)
               On entry, the n diagonal elements of the tridiago-
               nal matrix A.  On exit, the n diagonal elements of
               the diagonal matrix DIAG from the  L*DIAG*L'  fac-
               torization of A.

     OFFD (input/output)
               On entry, the (n-1) subdiagonal  elements  of  the
               tridiagonal matrix A.  On exit, the (n-1) subdiag-
               onal elements of the unit bidiagonal factor L from
               the  L*DIAG*L'  factorization of A.  OFFD can also
               be regarded as the superdiagonal of the unit bidi-
               agonal  factor  U from the U'*DIAG*U factorization
               of A.

     INFO (output)
               = 0: successful exit
               < 0: if INFO = -k, the k-th argument had an  ille-
               gal value
               > 0: if INFO = k, the leading minor of order k  is
               not positive definite; if k < N, the factorization
               could not be completed, while if k = N,  the  fac-
               torization was completed, but DIAG(N) = 0.