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MAGMA
1.6.1
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
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. More... | |
magma_int_t | magma_strtri (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, float *A, magma_int_t lda, magma_int_t *info) |
STRTRI computes the inverse of a real upper or lower triangular matrix A. More... | |
magma_int_t | magma_strtri_gpu (magma_uplo_t uplo, magma_diag_t diag, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *info) |
STRTRI computes the inverse of a real upper or lower triangular matrix dA. More... | |
magma_int_t | magma_sgetf2_gpu (magma_int_t m, magma_int_t n, magmaFloat_ptr dA, magma_int_t ldda, magma_int_t *ipiv, magma_int_t *info) |
SGETF2 computes an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges. More... | |
magma_int_t magma_sgetf2_gpu | ( | magma_int_t | m, |
magma_int_t | n, | ||
magmaFloat_ptr | dA, | ||
magma_int_t | ldda, | ||
magma_int_t * | ipiv, | ||
magma_int_t * | info | ||
) |
SGETF2 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 2 BLAS version of the algorithm.
[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 and N <= 1024. On CUDA architecture 1.x cards, N <= 512. |
[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] | ipiv | 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). |
[out] | info | INTEGER
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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.
[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
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magma_int_t magma_strtri | ( | magma_uplo_t | uplo, |
magma_diag_t | diag, | ||
magma_int_t | n, | ||
float * | A, | ||
magma_int_t | lda, | ||
magma_int_t * | info | ||
) |
STRTRI computes the inverse of a real upper or lower triangular matrix A.
This is the Level 3 BLAS version of the algorithm.
[in] | uplo | magma_uplo_t
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[in] | diag | magma_diag_t
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[in] | n | INTEGER The order of the matrix A. N >= 0. |
[in,out] | A | REAL array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. |
[in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
[out] | info | INTEGER
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magma_int_t magma_strtri_gpu | ( | magma_uplo_t | uplo, |
magma_diag_t | diag, | ||
magma_int_t | n, | ||
magmaFloat_ptr | dA, | ||
magma_int_t | ldda, | ||
magma_int_t * | info | ||
) |
STRTRI computes the inverse of a real upper or lower triangular matrix dA.
This is the Level 3 BLAS version of the algorithm.
[in] | uplo | magma_uplo_t
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[in] | diag | magma_diag_t
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[in] | n | INTEGER The order of the matrix A. N >= 0. |
[in,out] | dA | REAL array ON THE GPU, dimension (LDDA,N) On entry, the triangular matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of the array dA contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of the array dA contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = MagmaUnit, the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. |
[in] | ldda | INTEGER The leading dimension of the array dA. LDDA >= max(1,N). |
[out] | info | INTEGER
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