# sgetrf.f - Man Page

SRC/sgetrf.f

## Synopsis

### Functions/Subroutines

subroutine sgetrf (m, n, a, lda, ipiv, info)
SGETRF

## Function/Subroutine Documentation

### subroutine sgetrf (integer m, integer n, real, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, integer info)

SGETRF

Purpose:

``` SGETRF computes an LU factorization of a general M-by-N matrix A
using partial pivoting with row interchanges.

The factorization has the form
A = P * L * U
where P is a permutation matrix, L is lower triangular with unit
diagonal elements (lower trapezoidal if m > n), and U is upper
triangular (upper trapezoidal if m < n).

This is the right-looking Level 3 BLAS version of the algorithm.```
Parameters

M

```          M is INTEGER
The number of rows of the matrix A.  M >= 0.```

N

```          N is INTEGER
The number of columns of the matrix A.  N >= 0.```

A

```          A is REAL array, dimension (LDA,N)
On entry, the M-by-N matrix to be factored.
On exit, the factors L and U from the factorization
A = P*L*U; the unit diagonal elements of L are not stored.```

LDA

```          LDA is INTEGER
The leading dimension of the array A.  LDA >= max(1,M).```

IPIV

```          IPIV is INTEGER array, dimension (min(M,N))
The pivot indices; for 1 <= i <= min(M,N), row i of the
matrix was interchanged with row IPIV(i).```

INFO

```          INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value
> 0:  if INFO = i, U(i,i) is exactly zero. The factorization
has been completed, but the factor U is exactly
singular, and division by zero will occur if it is used
to solve a system of equations.```
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 107 of file sgetrf.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page sgetrf(3) is an alias of sgetrf.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK