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dpttrf(3P)		    Sun Performance Library		    dpttrf(3P)

NAME
       dpttrf  - compute the L*D*L' factorization of a real symmetric positive
       definite tridiagonal matrix A

SYNOPSIS
       SUBROUTINE DPTTRF(N, D, E, INFO)

       INTEGER N, INFO
       DOUBLE PRECISION D(*), E(*)

       SUBROUTINE DPTTRF_64(N, D, E, INFO)

       INTEGER*8 N, INFO
       DOUBLE PRECISION D(*), E(*)

   F95 INTERFACE
       SUBROUTINE PTTRF([N], D, E, [INFO])

       INTEGER :: N, INFO
       REAL(8), DIMENSION(:) :: D, E

       SUBROUTINE PTTRF_64([N], D, E, [INFO])

       INTEGER(8) :: N, INFO
       REAL(8), DIMENSION(:) :: D, E

   C INTERFACE
       #include <sunperf.h>

       void dpttrf(int n, double *d, double *e, int *info);

       void dpttrf_64(long n, double *d, double *e, long *info);

PURPOSE
       dpttrf 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.

       D (input/output)
		 On entry, the n diagonal elements of the  tridiagonal	matrix
		 A.  On exit, the n diagonal elements of the diagonal matrix D
		 from the L*D*L' factorization of A.

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

       INFO (output)
		 = 0: successful exit
		 < 0: if INFO = -k, the k-th argument had an illegal value
		 > 0: if INFO = k, the leading minor of order k is  not	 posi‐
		 tive  definite; if k < N, the factorization could not be com‐
		 pleted, while if k = N, the factorization was completed,  but
		 D(N) = 0.

				  6 Mar 2009			    dpttrf(3P)
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