lange: General matrix norm

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.
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.
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.
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.

Detailed Description

1, Frobenius, or Infinity norm; or largest element

Function Documentation

magmablas_clange()

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.

Description

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.

Parameters

[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.

magmablas_dlange()

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.

Description

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.

Parameters

[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.

magmablas_slange()

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.

Description

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.

Parameters

[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.

magmablas_zlange()

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.

Description

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.

Parameters

[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.