MAGMA  2.3.0 Matrix Algebra for GPU and Multicore Architectures
getrf: LU factorization - no pivoting

## Functions

magma_int_t magma_cgetrf_nopiv (magma_int_t m, magma_int_t n, magmaFloatComplex *A, magma_int_t lda, magma_int_t *info)
CGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting. More...

magma_int_t magma_cgetrf_nopiv_gpu (magma_int_t m, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t *info)
CGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting. More...

magma_int_t magma_dgetrf_nopiv (magma_int_t m, magma_int_t n, double *A, magma_int_t lda, magma_int_t *info)
DGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting. More...

magma_int_t magma_dgetrf_nopiv_gpu (magma_int_t m, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t *info)
DGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting. More...

magma_int_t magma_sgetrf_nopiv (magma_int_t m, magma_int_t n, float *A, magma_int_t lda, magma_int_t *info)
SGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting. More...

magma_int_t magma_sgetrf_nopiv_gpu (magma_int_t m, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *info)
SGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting. More...

magma_int_t magma_zgetrf_nopiv (magma_int_t m, magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, magma_int_t *info)
ZGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting. More...

magma_int_t magma_zgetrf_nopiv_gpu (magma_int_t m, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t *info)
ZGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting. More...

## Function Documentation

 magma_int_t magma_cgetrf_nopiv ( magma_int_t m, magma_int_t n, magmaFloatComplex * A, magma_int_t lda, magma_int_t * info )

CGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting.

The factorization has the form A = L * U where 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.

This is a CPU-only (not accelerated) version.

Parameters
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] A COMPLEX 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. [in] lda INTEGER The leading dimension of the array A. LDA >= max(1,M). [out] info 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.
 magma_int_t magma_cgetrf_nopiv_gpu ( magma_int_t m, magma_int_t n, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_int_t * info )

CGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting.

The factorization has the form A = L * U where 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
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] dA COMPLEX array on the GPU, dimension (LDDA,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. [in] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 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.
 magma_int_t magma_dgetrf_nopiv ( magma_int_t m, magma_int_t n, double * A, magma_int_t lda, magma_int_t * info )

DGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting.

The factorization has the form A = L * U where 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.

This is a CPU-only (not accelerated) version.

Parameters
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] A DOUBLE PRECISION 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. [in] lda INTEGER The leading dimension of the array A. LDA >= max(1,M). [out] info 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.
 magma_int_t magma_dgetrf_nopiv_gpu ( magma_int_t m, magma_int_t n, magmaDouble_ptr dA, magma_int_t ldda, magma_int_t * info )

DGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting.

The factorization has the form A = L * U where 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
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] dA DOUBLE PRECISION array on the GPU, dimension (LDDA,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. [in] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 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.
 magma_int_t magma_sgetrf_nopiv ( magma_int_t m, magma_int_t n, float * A, magma_int_t lda, magma_int_t * info )

SGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting.

The factorization has the form A = L * U where 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.

This is a CPU-only (not accelerated) version.

Parameters
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] A 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. [in] lda INTEGER The leading dimension of the array A. LDA >= max(1,M). [out] info 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.
 magma_int_t magma_sgetrf_nopiv_gpu ( magma_int_t m, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t * info )

SGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting.

The factorization has the form A = L * U where 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
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] dA REAL array on the GPU, dimension (LDDA,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. [in] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 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.
 magma_int_t magma_zgetrf_nopiv ( magma_int_t m, magma_int_t n, magmaDoubleComplex * A, magma_int_t lda, magma_int_t * info )

ZGETRF_NOPIV computes an LU factorization of a general M-by-N matrix A without pivoting.

The factorization has the form A = L * U where 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.

This is a CPU-only (not accelerated) version.

Parameters
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] A COMPLEX_16 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. [in] lda INTEGER The leading dimension of the array A. LDA >= max(1,M). [out] info 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.
 magma_int_t magma_zgetrf_nopiv_gpu ( magma_int_t m, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_int_t * info )

ZGETRF_NOPIV_GPU computes an LU factorization of a general M-by-N matrix A without any pivoting.

The factorization has the form A = L * U where 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
 [in] m INTEGER The number of rows of the matrix A. M >= 0. [in] n INTEGER The number of columns of the matrix A. N >= 0. [in,out] dA COMPLEX_16 array on the GPU, dimension (LDDA,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. [in] ldda INTEGER The leading dimension of the array A. LDDA >= max(1,M). [out] info INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value or another error occured, such as memory allocation failed. > 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.