\( x = op(A^{-1})\; b \) More...

Functions
void	magmablas_ctrsv_batched (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, magmaFloatComplex A_array, magma_int_t lda, magmaFloatComplex b_array, magma_int_t incb, magma_int_t batchCount, magma_queue_t queue)
	ctrsv solves one of the matrix equations on gpu More...

void	magmablas_dtrsv_batched (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, double A_array, magma_int_t lda, double b_array, magma_int_t incb, magma_int_t batchCount, magma_queue_t queue)
	dtrsv solves one of the matrix equations on gpu More...

void	magmablas_strsv_batched (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, float A_array, magma_int_t lda, float b_array, magma_int_t incb, magma_int_t batchCount, magma_queue_t queue)
	strsv solves one of the matrix equations on gpu More...

void	magmablas_ztrsv_batched (magma_uplo_t uplo, magma_trans_t trans, magma_diag_t diag, magma_int_t n, magmaDoubleComplex A_array, magma_int_t lda, magmaDoubleComplex b_array, magma_int_t incb, magma_int_t batchCount, magma_queue_t queue)
	ztrsv solves one of the matrix equations on gpu More...

Detailed Description

\( x = op(A^{-1})\; b \)

Function Documentation

void magmablas_ctrsv_batched	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaFloatComplex **	A_array,
		magma_int_t	lda,
		magmaFloatComplex **	b_array,
		magma_int_t	incb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

ctrsv solves one of the matrix equations on gpu

op(A)*x = b,   or
x*op(A) = b,

where alpha is a scalar, X and B are vectors, A is a unit, or non-unit, upper or lower triangular matrix and op(A) is one of

op(A) = A,    or
op(A) = A^T,  or
op(A) = A^H.

The vector x is overwritten on b.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	trans	magma_trans_t. On entry, trans specifies the form of op(A) to be used in the matrix multiplication as follows: = MagmaNoTrans: op(A) = A. = MagmaTrans: op(A) = A^T. = MagmaConjTrans: op(A) = A^H.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n N specifies the order of the matrix A. n >= 0.
[in]	A_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array A of dimension ( lda, n ), Before entry with uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when diag = MagmaUnit, the diagonal elements of A are not referenced either, but are assumed to be unity.
[in]	lda	INTEGER. On entry, lda specifies the first dimension of A. lda >= max( 1, n ).
[in]	b_array	Array of pointers, dimension (batchCount). Each is a COMPLEX array of dimension n On exit, b is overwritten with the solution vector X.
[in]	incb	INTEGER. On entry, incb specifies the increment for the elements of b. incb must not be zero. Unchanged on exit.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

void magmablas_dtrsv_batched	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_diag_t	diag,
		magma_int_t	n,
		double **	A_array,
		magma_int_t	lda,
		double **	b_array,
		magma_int_t	incb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

dtrsv solves one of the matrix equations on gpu

op(A)*x = b,   or
x*op(A) = b,

where alpha is a scalar, X and B are vectors, A is a unit, or non-unit, upper or lower triangular matrix and op(A) is one of

op(A) = A,    or
op(A) = A^T,  or
op(A) = A^H.

The vector x is overwritten on b.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	trans	magma_trans_t. On entry, trans specifies the form of op(A) to be used in the matrix multiplication as follows: = MagmaNoTrans: op(A) = A. = MagmaTrans: op(A) = A^T. = MagmaConjTrans: op(A) = A^H.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n N specifies the order of the matrix A. n >= 0.
[in]	A_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array A of dimension ( lda, n ), Before entry with uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when diag = MagmaUnit, the diagonal elements of A are not referenced either, but are assumed to be unity.
[in]	lda	INTEGER. On entry, lda specifies the first dimension of A. lda >= max( 1, n ).
[in]	b_array	Array of pointers, dimension (batchCount). Each is a DOUBLE PRECISION array of dimension n On exit, b is overwritten with the solution vector X.
[in]	incb	INTEGER. On entry, incb specifies the increment for the elements of b. incb must not be zero. Unchanged on exit.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

void magmablas_strsv_batched	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_diag_t	diag,
		magma_int_t	n,
		float **	A_array,
		magma_int_t	lda,
		float **	b_array,
		magma_int_t	incb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

strsv solves one of the matrix equations on gpu

op(A)*x = b,   or
x*op(A) = b,

where alpha is a scalar, X and B are vectors, A is a unit, or non-unit, upper or lower triangular matrix and op(A) is one of

op(A) = A,    or
op(A) = A^T,  or
op(A) = A^H.

The vector x is overwritten on b.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	trans	magma_trans_t. On entry, trans specifies the form of op(A) to be used in the matrix multiplication as follows: = MagmaNoTrans: op(A) = A. = MagmaTrans: op(A) = A^T. = MagmaConjTrans: op(A) = A^H.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n N specifies the order of the matrix A. n >= 0.
[in]	A_array	Array of pointers, dimension (batchCount). Each is a REAL array A of dimension ( lda, n ), Before entry with uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when diag = MagmaUnit, the diagonal elements of A are not referenced either, but are assumed to be unity.
[in]	lda	INTEGER. On entry, lda specifies the first dimension of A. lda >= max( 1, n ).
[in]	b_array	Array of pointers, dimension (batchCount). Each is a REAL array of dimension n On exit, b is overwritten with the solution vector X.
[in]	incb	INTEGER. On entry, incb specifies the increment for the elements of b. incb must not be zero. Unchanged on exit.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

void magmablas_ztrsv_batched	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_diag_t	diag,
		magma_int_t	n,
		magmaDoubleComplex **	A_array,
		magma_int_t	lda,
		magmaDoubleComplex **	b_array,
		magma_int_t	incb,
		magma_int_t	batchCount,
		magma_queue_t	queue
	)

ztrsv solves one of the matrix equations on gpu

op(A)*x = b,   or
x*op(A) = b,

where alpha is a scalar, X and B are vectors, A is a unit, or non-unit, upper or lower triangular matrix and op(A) is one of

op(A) = A,    or
op(A) = A^T,  or
op(A) = A^H.

The vector x is overwritten on b.

Parameters

[in]	uplo	magma_uplo_t. On entry, uplo specifies whether the matrix A is an upper or lower triangular matrix as follows: = MagmaUpper: A is an upper triangular matrix. = MagmaLower: A is a lower triangular matrix.
[in]	trans	magma_trans_t. On entry, trans specifies the form of op(A) to be used in the matrix multiplication as follows: = MagmaNoTrans: op(A) = A. = MagmaTrans: op(A) = A^T. = MagmaConjTrans: op(A) = A^H.
[in]	diag	magma_diag_t. On entry, diag specifies whether or not A is unit triangular as follows: = MagmaUnit: A is assumed to be unit triangular. = MagmaNonUnit: A is not assumed to be unit triangular.
[in]	n	INTEGER. On entry, n N specifies the order of the matrix A. n >= 0.
[in]	A_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array A of dimension ( lda, n ), Before entry with uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when diag = MagmaUnit, the diagonal elements of A are not referenced either, but are assumed to be unity.
[in]	lda	INTEGER. On entry, lda specifies the first dimension of A. lda >= max( 1, n ).
[in]	b_array	Array of pointers, dimension (batchCount). Each is a COMPLEX_16 array of dimension n On exit, b is overwritten with the solution vector X.
[in]	incb	INTEGER. On entry, incb specifies the increment for the elements of b. incb must not be zero. Unchanged on exit.
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

Functions

Detailed Description

Function Documentation