Provided by: liblapack-doc_3.3.1-1_all

#### NAME

```       LAPACK-3  -  solves a system of linear equations  A * X = B or A**T * X = B with a general
N-by-N matrix A using the LU factorization computed by SGETRF

```

#### SYNOPSIS

```       SUBROUTINE SGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )

CHARACTER      TRANS

INTEGER        INFO, LDA, LDB, N, NRHS

INTEGER        IPIV( * )

REAL           A( LDA, * ), B( LDB, * )

```

#### PURPOSE

```       SGETRS solves a system of linear equations
A * X = B  or  A**T * X = B with a general N-by-N matrix A using the  LU  factorization
computed by SGETRF.

```

#### ARGUMENTS

```        TRANS   (input) CHARACTER*1
Specifies the form of the system of equations:
= 'N':  A * X = B  (No transpose)
= 'T':  A**T* X = B  (Transpose)
= 'C':  A**T* X = B  (Conjugate transpose = Transpose)

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) REAL array, dimension (LDA,N)
The factors L and U from the factorization A = P*L*U
as computed by SGETRF.

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

IPIV    (input) INTEGER array, dimension (N)
The pivot indices from SGETRF; for 1<=i<=N, row i of the
matrix was interchanged with row IPIV(i).

B       (input/output) REAL 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                            SGETRS(3lapack)
```