Provided by: liblapack-doc_3.3.1-1_all

#### NAME

```       LAPACK-3  - solves a system of linear equations A*X = B with a symmetric positive definite
matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPOTRF

```

#### SYNOPSIS

```       SUBROUTINE DPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO )

CHARACTER      UPLO

INTEGER        INFO, LDA, LDB, N, NRHS

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

```

#### PURPOSE

```       DPOTRS solves a system of linear equations A*X = B  with  a  symmetric  positive  definite
matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPOTRF.

```

#### 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.

NRHS    (input) INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B.  NRHS >= 0.

A       (input) DOUBLE PRECISION array, dimension (LDA,N)
The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by DPOTRF.

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 right hand side matrix B.
On exit, the 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

LAPACK routine (version 3.3.1)             April 2011                            DPOTRS(3lapack)
```