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DPOTF2(3F)							    DPOTF2(3F)


NAME    [Toc]    [Back]

     DPOTF2 - compute the Cholesky factorization of a real symmetric positive
     definite matrix A

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	UPLO

	 INTEGER	INFO, LDA, N

	 DOUBLE		PRECISION A( LDA, * )

PURPOSE    [Toc]    [Back]

     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    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     Specifies whether the upper or lower triangular part of the
	     symmetric matrix A	is stored.  = 'U':  Upper triangular
	     = 'L':  Lower triangular

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

     A	     (input/output) DOUBLE PRECISION array, dimension (LDA,N)
	     On	entry, the symmetric matrix A.	If UPLO	= 'U', the leading n
	     by	n upper	triangular part	of A contains the upper	triangular
	     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) INTEGER
	     The leading dimension of the array	A.  LDA	>= max(1,N).

     INFO    (output) INTEGER
	     = 0: successful exit
	     < 0: if INFO = -k,	the k-th argument had an illegal value



									Page 1






DPOTF2(3F)							    DPOTF2(3F)



	     > 0: if INFO = k, the leading minor of order k is not positive
	     definite, and the factorization could not be completed.
DPOTF2(3F)							    DPOTF2(3F)


NAME    [Toc]    [Back]

     DPOTF2 - compute the Cholesky factorization of a real symmetric positive
     definite matrix A

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	UPLO

	 INTEGER	INFO, LDA, N

	 DOUBLE		PRECISION A( LDA, * )

PURPOSE    [Toc]    [Back]

     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    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     Specifies whether the upper or lower triangular part of the
	     symmetric matrix A	is stored.  = 'U':  Upper triangular
	     = 'L':  Lower triangular

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

     A	     (input/output) DOUBLE PRECISION array, dimension (LDA,N)
	     On	entry, the symmetric matrix A.	If UPLO	= 'U', the leading n
	     by	n upper	triangular part	of A contains the upper	triangular
	     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) INTEGER
	     The leading dimension of the array	A.  LDA	>= max(1,N).

     INFO    (output) INTEGER
	     = 0: successful exit
	     < 0: if INFO = -k,	the k-th argument had an illegal value



									Page 1






DPOTF2(3F)							    DPOTF2(3F)



	     > 0: if INFO = k, the leading minor of order k is not positive
	     definite, and the factorization could not be completed.


									PPPPaaaaggggeeee 2222
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