cpotrf man page on Scientific

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```CPOTRF(1)		 LAPACK routine (version 3.2)		     CPOTRF(1)

NAME
CPOTRF  -  computes  the	 Cholesky factorization of a complex Hermitian
positive definite matrix A

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

CHARACTER	  UPLO

INTEGER	  INFO, LDA, N

COMPLEX	  A( LDA, * )

PURPOSE
CPOTRF computes the Cholesky factorization of a complex Hermitian posi‐
tive 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
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 array, dimension (LDA,N)
On entry, the Hermitian 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**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
definite, and the factorization could not be completed.

LAPACK routine (version 3.2)	 November 2008			     CPOTRF(1)
```
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