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dpotf2(3P)		    Sun Performance Library		    dpotf2(3P)

NAME
       dpotf2  -  compute the Cholesky factorization of a real symmetric posi‐
       tive definite matrix A

SYNOPSIS
       SUBROUTINE DPOTF2(UPLO, N, A, LDA, INFO)

       CHARACTER * 1 UPLO
       INTEGER N, LDA, INFO
       DOUBLE PRECISION A(LDA,*)

       SUBROUTINE DPOTF2_64(UPLO, N, A, LDA, INFO)

       CHARACTER * 1 UPLO
       INTEGER*8 N, LDA, INFO
       DOUBLE PRECISION A(LDA,*)

   F95 INTERFACE
       SUBROUTINE POTF2(UPLO, [N], A, [LDA], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, LDA, INFO
       REAL(8), DIMENSION(:,:) :: A

       SUBROUTINE POTF2_64(UPLO, [N], A, [LDA], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, LDA, INFO
       REAL(8), DIMENSION(:,:) :: A

   C INTERFACE
       #include <sunperf.h>

       void dpotf2(char uplo, int n, double *a, int lda, int *info);

       void dpotf2_64(char uplo, long n, double *a, long lda, long *info);

PURPOSE
       dpotf2 computes the Cholesky factorization of a real symmetric positive
       definite matrix A.

       The factorization has the form
	  A = U' * U ,	if UPLO = 'U', or
	  A = L	 * L',	if UPLO = 'L',
       where U is an upper triangular matrix and L is lower triangular.

       This is the unblocked version of the algorithm, calling Level 2 BLAS.

ARGUMENTS
       UPLO (input)
		 Specifies  whether  the upper or lower triangular part of the
		 symmetric matrix A is stored.	= 'U':	Upper triangular
		 = 'L':	 Lower triangular

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

       A (input/output)
		 On entry, the symmetric matrix A.  If UPLO = 'U', the leading
		 n by n upper triangular part of A contains the upper triangu‐
		 lar part of the matrix A, and the strictly  lower  triangular
		 part of A is not referenced.  If UPLO = 'L', the leading n by
		 n lower triangular part of A contains	the  lower  triangular
		 part  of the matrix A, and the strictly upper triangular part
		 of A is not referenced.

		 On exit, if INFO = 0, the factor U or	L  from	 the  Cholesky
		 factorization A = U'*U	 or A = L*L'.

       LDA (input)
		 The leading dimension of the array A.	LDA >= max(1,N).

       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, and the factorization could not be completed.

				  6 Mar 2009			    dpotf2(3P)
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