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ZPOTRF(3F)							    ZPOTRF(3F)


NAME    [Toc]    [Back]

     ZPOTRF - compute the Cholesky factorization of a complex Hermitian
     positive definite matrix A

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	UPLO

	 INTEGER	INFO, LDA, N

	 COMPLEX*16	A( LDA,	* )

PURPOSE    [Toc]    [Back]

     ZPOTRF computes the Cholesky factorization	of a complex Hermitian
     positive definite matrix A.

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

     This is the block version of the algorithm, calling Level 3 BLAS.

ARGUMENTS    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     = 'U':  Upper triangle of A is stored;
	     = 'L':  Lower triangle of A is stored.

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

     A	     (input/output) COMPLEX*16 array, dimension	(LDA,N)
	     On	entry, the Hermitian matrix A.	If UPLO	= 'U', the leading Nby-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**H*U or A = L*L**H.

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

     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument had an illegal value
	     > 0:  if INFO = i,	the leading minor of order i is	not positive



									Page 1






ZPOTRF(3F)							    ZPOTRF(3F)



	     definite, and the factorization could not be completed.
ZPOTRF(3F)							    ZPOTRF(3F)


NAME    [Toc]    [Back]

     ZPOTRF - compute the Cholesky factorization of a complex Hermitian
     positive definite matrix A

SYNOPSIS    [Toc]    [Back]

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

	 CHARACTER	UPLO

	 INTEGER	INFO, LDA, N

	 COMPLEX*16	A( LDA,	* )

PURPOSE    [Toc]    [Back]

     ZPOTRF computes the Cholesky factorization	of a complex Hermitian
     positive definite matrix A.

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

     This is the block version of the algorithm, calling Level 3 BLAS.

ARGUMENTS    [Toc]    [Back]

     UPLO    (input) CHARACTER*1
	     = 'U':  Upper triangle of A is stored;
	     = 'L':  Lower triangle of A is stored.

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

     A	     (input/output) COMPLEX*16 array, dimension	(LDA,N)
	     On	entry, the Hermitian matrix A.	If UPLO	= 'U', the leading Nby-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**H*U or A = L*L**H.

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

     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument had an illegal value
	     > 0:  if INFO = i,	the leading minor of order i is	not positive



									Page 1






ZPOTRF(3F)							    ZPOTRF(3F)



	     definite, and the factorization could not be completed.


									PPPPaaaaggggeeee 2222
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