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MAGMA
2.7.1
Matrix Algebra for GPU and Multicore Architectures
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MAGMA
2.7.1
Matrix Algebra for GPU and Multicore Architectures
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1, Frobenius, or Infinity norm; or largest element More...
Functions | |
| float | magmablas_clange (magma_norm_t norm, magma_int_t m, magma_int_t n, magmaFloatComplex_const_ptr dA, magma_int_t ldda, magmaFloat_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
| CLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. More... | |
| double | magmablas_dlange (magma_norm_t norm, magma_int_t m, magma_int_t n, magmaDouble_const_ptr dA, magma_int_t ldda, magmaDouble_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
| DLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. More... | |
| float | magmablas_slange (magma_norm_t norm, magma_int_t m, magma_int_t n, magmaFloat_const_ptr dA, magma_int_t ldda, magmaFloat_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
| SLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. More... | |
| double | magmablas_zlange (magma_norm_t norm, magma_int_t m, magma_int_t n, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDouble_ptr dwork, magma_int_t lwork, magma_queue_t queue) |
| ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. More... | |
1, Frobenius, or Infinity norm; or largest element
| float magmablas_clange | ( | magma_norm_t | norm, |
| magma_int_t | m, | ||
| magma_int_t | n, | ||
| magmaFloatComplex_const_ptr | dA, | ||
| magma_int_t | ldda, | ||
| magmaFloat_ptr | dwork, | ||
| magma_int_t | lwork, | ||
| magma_queue_t | queue | ||
| ) |
CLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
CLANGE returns the value
CLANGE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
| [in] | norm | magma_norm_t Specifies the value to be returned in CLANGE as described above. |
| [in] | m | INTEGER The number of rows of the matrix A. M >= 0. When M = 0, CLANGE is set to zero. |
| [in] | n | INTEGER The number of columns of the matrix A. N >= 0. When N = 0, CLANGE is set to zero. |
| [in] | dA | REAL array on the GPU, dimension (LDDA,N) The m by n matrix A. |
| [in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(M,1). |
| dwork | (workspace) REAL array on the GPU, dimension (LWORK). | |
| [in] | lwork | INTEGER The dimension of the array WORK. If NORM = MagmaInfNorm or MagmaMaxNorm, LWORK >= max( 1, M ). If NORM = MagmaOneNorm, LWORK >= max( 1, N ). Note this is different than LAPACK, which requires WORK only for NORM = MagmaInfNorm, and does not pass LWORK. |
| [in] | queue | magma_queue_t Queue to execute in. |
| double magmablas_dlange | ( | magma_norm_t | norm, |
| magma_int_t | m, | ||
| magma_int_t | n, | ||
| magmaDouble_const_ptr | dA, | ||
| magma_int_t | ldda, | ||
| magmaDouble_ptr | dwork, | ||
| magma_int_t | lwork, | ||
| magma_queue_t | queue | ||
| ) |
DLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
DLANGE returns the value
DLANGE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
| [in] | norm | magma_norm_t Specifies the value to be returned in DLANGE as described above. |
| [in] | m | INTEGER The number of rows of the matrix A. M >= 0. When M = 0, DLANGE is set to zero. |
| [in] | n | INTEGER The number of columns of the matrix A. N >= 0. When N = 0, DLANGE is set to zero. |
| [in] | dA | DOUBLE PRECISION array on the GPU, dimension (LDDA,N) The m by n matrix A. |
| [in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(M,1). |
| dwork | (workspace) DOUBLE PRECISION array on the GPU, dimension (LWORK). | |
| [in] | lwork | INTEGER The dimension of the array WORK. If NORM = MagmaInfNorm or MagmaMaxNorm, LWORK >= max( 1, M ). If NORM = MagmaOneNorm, LWORK >= max( 1, N ). Note this is different than LAPACK, which requires WORK only for NORM = MagmaInfNorm, and does not pass LWORK. |
| [in] | queue | magma_queue_t Queue to execute in. |
| float magmablas_slange | ( | magma_norm_t | norm, |
| magma_int_t | m, | ||
| magma_int_t | n, | ||
| magmaFloat_const_ptr | dA, | ||
| magma_int_t | ldda, | ||
| magmaFloat_ptr | dwork, | ||
| magma_int_t | lwork, | ||
| magma_queue_t | queue | ||
| ) |
SLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
SLANGE returns the value
SLANGE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
| [in] | norm | magma_norm_t Specifies the value to be returned in SLANGE as described above. |
| [in] | m | INTEGER The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero. |
| [in] | n | INTEGER The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero. |
| [in] | dA | REAL array on the GPU, dimension (LDDA,N) The m by n matrix A. |
| [in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(M,1). |
| dwork | (workspace) REAL array on the GPU, dimension (LWORK). | |
| [in] | lwork | INTEGER The dimension of the array WORK. If NORM = MagmaInfNorm or MagmaMaxNorm, LWORK >= max( 1, M ). If NORM = MagmaOneNorm, LWORK >= max( 1, N ). Note this is different than LAPACK, which requires WORK only for NORM = MagmaInfNorm, and does not pass LWORK. |
| [in] | queue | magma_queue_t Queue to execute in. |
| double magmablas_zlange | ( | magma_norm_t | norm, |
| magma_int_t | m, | ||
| magma_int_t | n, | ||
| magmaDoubleComplex_const_ptr | dA, | ||
| magma_int_t | ldda, | ||
| magmaDouble_ptr | dwork, | ||
| magma_int_t | lwork, | ||
| magma_queue_t | queue | ||
| ) |
ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
ZLANGE returns the value
ZLANGE = ( max(abs(A(i,j))), NORM = MagmaMaxNorm ( ( norm1(A), NORM = MagmaOneNorm ( ( normI(A), NORM = MagmaInfNorm ( ( normF(A), NORM = MagmaFrobeniusNorm
where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
| [in] | norm | magma_norm_t Specifies the value to be returned in ZLANGE as described above. |
| [in] | m | INTEGER The number of rows of the matrix A. M >= 0. When M = 0, ZLANGE is set to zero. |
| [in] | n | INTEGER The number of columns of the matrix A. N >= 0. When N = 0, ZLANGE is set to zero. |
| [in] | dA | DOUBLE PRECISION array on the GPU, dimension (LDDA,N) The m by n matrix A. |
| [in] | ldda | INTEGER The leading dimension of the array A. LDDA >= max(M,1). |
| dwork | (workspace) DOUBLE PRECISION array on the GPU, dimension (LWORK). | |
| [in] | lwork | INTEGER The dimension of the array WORK. If NORM = MagmaInfNorm or MagmaMaxNorm, LWORK >= max( 1, M ). If NORM = MagmaOneNorm, LWORK >= max( 1, N ). Note this is different than LAPACK, which requires WORK only for NORM = MagmaInfNorm, and does not pass LWORK. |
| [in] | queue | magma_queue_t Queue to execute in. |
1.8.5 
