dposv man page on Scientific

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```DPOSV(1)	      LAPACK driver routine (version 3.2)	      DPOSV(1)

NAME
DPOSV - computes the solution to a real system of linear equations  A *
X = B,

SYNOPSIS
SUBROUTINE DPOSV( UPLO, N, NRHS, A, LDA, B, LDB, INFO )

CHARACTER	 UPLO

INTEGER	 INFO, LDA, LDB, N, NRHS

DOUBLE	 PRECISION A( LDA, * ), B( LDB, * )

PURPOSE
DPOSV computes the solution to a real system of linear equations
A * X = B, where A is an N-by-N symmetric positive  definite	matrix
and X and B are N-by-NRHS matrices.
The Cholesky decomposition is used to factor A as
A = U**T* U,	if UPLO = 'U', or
A = L * L**T,	 if UPLO = 'L',
where  U	 is  an	 upper	triangular  matrix and L is a lower triangular
matrix.	The factored form of A is then used to	solve  the  system  of
equations A * X = B.

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

N       (input) INTEGER
The  number  of linear equations, i.e., the order of the matrix
A.  N >= 0.

NRHS    (input) INTEGER
The number of right hand sides, i.e., the number of columns  of
the matrix B.  NRHS >= 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**T*U or A = L*L**T.

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

B       (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the N-by-NRHS right hand side matrix B.  On exit,  if
INFO = 0, the N-by-NRHS solution matrix X.

LDB     (input) INTEGER
The leading dimension of the array B.  LDB >= 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 of A is not
positive definite, so the factorization could not be completed,
and the solution has not been computed.

LAPACK driver routine (version 3November 2008			      DPOSV(1)
```
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