getf2: LU panel factorization - no pivoting

Functions
magma_int_t	magma_cgetf2_nopiv (magma_int_t m, magma_int_t n, magmaFloatComplex *A, magma_int_t lda, magma_int_t *info)
	CGETF2_NOPIV computes an LU factorization of a general m-by-n matrix A without pivoting.
magma_int_t	magma_dgetf2_nopiv (magma_int_t m, magma_int_t n, double *A, magma_int_t lda, magma_int_t *info)
	DGETF2_NOPIV computes an LU factorization of a general m-by-n matrix A without pivoting.
magma_int_t	magma_sgetf2_nopiv (magma_int_t m, magma_int_t n, float *A, magma_int_t lda, magma_int_t *info)
	SGETF2_NOPIV computes an LU factorization of a general m-by-n matrix A without pivoting.
magma_int_t	magma_zgetf2_nopiv (magma_int_t m, magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, magma_int_t *info)
	ZGETF2_NOPIV computes an LU factorization of a general m-by-n matrix A without pivoting.

Detailed Description

Function Documentation

magma_cgetf2_nopiv()

magma_int_t magma_cgetf2_nopiv	(	magma_int_t	m,
		magma_int_t	n,
		magmaFloatComplex *	A,
		magma_int_t	lda,
		magma_int_t *	info )

CGETF2_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 2 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 = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) 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_dgetf2_nopiv()

magma_int_t magma_dgetf2_nopiv	(	magma_int_t	m,
		magma_int_t	n,
		double *	A,
		magma_int_t	lda,
		magma_int_t *	info )

DGETF2_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 2 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 = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) 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_sgetf2_nopiv()

magma_int_t magma_sgetf2_nopiv	(	magma_int_t	m,
		magma_int_t	n,
		float *	A,
		magma_int_t	lda,
		magma_int_t *	info )

SGETF2_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 2 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 = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) 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_zgetf2_nopiv()

magma_int_t magma_zgetf2_nopiv	(	magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex *	A,
		magma_int_t	lda,
		magma_int_t *	info )

ZGETF2_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 2 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 = -k, the k-th argument had an illegal value > 0: if INFO = k, U(k,k) 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.