\(C = \alpha A B + \beta C\) or \(C = \alpha B A + \beta C\) where \(A\) is Hermitian More...

Functions
void	magmablas_chemm_batched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaFloatComplex alpha, magmaFloatComplex dA_array, magma_int_t ldda, magmaFloatComplex dB_array, magma_int_t lddb, magmaFloatComplex beta, magmaFloatComplex **dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	CHEMM performs one of the matrix-matrix operations.

void	magmablas_chemm_vbatched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaFloatComplex alpha, magmaFloatComplex *dA_array, magma_int_t ldda, magmaFloatComplex *dB_array, magma_int_t lddb, magmaFloatComplex beta, magmaFloatComplex *dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	CHEMM performs one of the matrix-matrix operations.

void	magmablas_dsymm_batched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, double alpha, double dA_array, magma_int_t ldda, double dB_array, magma_int_t lddb, double beta, double **dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	DSYMM performs one of the matrix-matrix operations.

void	magmablas_dsymm_vbatched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, double alpha, double *dA_array, magma_int_t ldda, double *dB_array, magma_int_t lddb, double beta, double *dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	DSYMM performs one of the matrix-matrix operations.

void	magmablas_ssymm_batched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, float alpha, float dA_array, magma_int_t ldda, float dB_array, magma_int_t lddb, float beta, float **dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	SSYMM performs one of the matrix-matrix operations.

void	magmablas_ssymm_vbatched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, float alpha, float *dA_array, magma_int_t ldda, float *dB_array, magma_int_t lddb, float beta, float *dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	SSYMM performs one of the matrix-matrix operations.

void	magmablas_zhemm_batched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex dA_array, magma_int_t ldda, magmaDoubleComplex dB_array, magma_int_t lddb, magmaDoubleComplex beta, magmaDoubleComplex **dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	ZHEMM performs one of the matrix-matrix operations.

void	magmablas_zhemm_vbatched (magma_side_t side, magma_uplo_t uplo, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex *dA_array, magma_int_t ldda, magmaDoubleComplex *dB_array, magma_int_t lddb, magmaDoubleComplex beta, magmaDoubleComplex *dC_array, magma_int_t lddc, magma_int_t batchCount, magma_queue_t queue)
	ZHEMM performs one of the matrix-matrix operations.

Detailed Description

\(C = \alpha A B + \beta C\) or \(C = \alpha B A + \beta C\) where \(A\) is Hermitian

Function Documentation

◆ magmablas_chemm_batched()

void magmablas_chemm_batched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t	m,
		magma_int_t	n,
		magmaFloatComplex	alpha,
		magmaFloatComplex **	dA_array,
		magma_int_t	ldda,
		magmaFloatComplex **	dB_array,
		magma_int_t	lddb,
		magmaFloatComplex	beta,
		magmaFloatComplex **	dC_array,
		magma_int_t	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

CHEMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a Hermitian matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each Hermitian matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each Hermitian matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the Hermitian matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the Hermitian matrix is to be referenced.

Parameters

[in]	m	INTEGER On entry, m specifies the number of rows of each matrix C. m >= 0.
[in]	n	INTEGER On entry, n specifies the number of columns of each matrix C. n >= 0.
[in]	alpha	COMPLEX On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array A of DIMENSION ( ldda, ka ), where ka is m when side = MagmaLower and is n otherwise. Before entry with side = MagmaLeft, the m by m part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading m by m upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading m by m lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the n by n part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER On entry, ldda specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then ldda >= max( 1, m ), otherwise ldda >= max( 1, n ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array B of DIMENSION ( lddb, n ). Before entry, the leading m by n part of the array B must contain the matrix B.
[in]	lddb	INTEGER On entry, lddb specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, m ).
[in]	beta	COMPLEX On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array C of DIMENSION ( lddc, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.
[in]	lddc	INTEGER On entry, lddc specifies the first dimension of C as declared in the calling (sub) program. lddc >= max( 1, m ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_chemm_vbatched()

void magmablas_chemm_vbatched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t *	m,
		magma_int_t *	n,
		magmaFloatComplex	alpha,
		magmaFloatComplex **	dA_array,
		magma_int_t *	ldda,
		magmaFloatComplex **	dB_array,
		magma_int_t *	lddb,
		magmaFloatComplex	beta,
		magmaFloatComplex **	dC_array,
		magma_int_t *	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

CHEMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a Hermitian matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each Hermitian matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each Hermitian matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the Hermitian matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the Hermitian matrix is to be referenced.

Parameters

[in]	m	INTEGER array, dimension(batchCount + 1). On entry, each element M specifies the number of rows of each matrix C. M >= 0.
[in]	n	INTEGER array, dimension(batchCount + 1). On entry, each element N specifies the number of columns of each matrix C. N >= 0.
[in]	alpha	COMPLEX On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array A of DIMENSION ( LDDA, ka ), where ka is M when side = MagmaLower and is N otherwise. Before entry with side = MagmaLeft, the M by M part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading M by M upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading M by M lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the N by N part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading N by N upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading N by N lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER array, dimension(batchCount + 1). On entry, each element LDDA specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then LDDA >= max( 1, M ), otherwise LDDA >= max( 1, N ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array B of DIMENSION ( LDDB, N ). Before entry, the leading M by N part of the array B must contain the matrix B.
[in]	lddb	INTEGER array, dimension(batchCount + 1). On entry, each element LDDB specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, M ).
[in]	beta	COMPLEX On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a COMPLEX array C of DIMENSION ( LDDC, N ). Before entry, the leading M by N part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the M by N updated matrix.
[in]	lddc	INTEGER array, dimension(batchCount + 1). On entry, each element LDDC specifies the first dimension of C as declared in the calling (sub) program. LDDC >= max( 1, M ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_dsymm_batched()

void magmablas_dsymm_batched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t	m,
		magma_int_t	n,
		double	alpha,
		double **	dA_array,
		magma_int_t	ldda,
		double **	dB_array,
		magma_int_t	lddb,
		double	beta,
		double **	dC_array,
		magma_int_t	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

DSYMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a symmetric matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each symmetric matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each symmetric matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the symmetric matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the symmetric matrix is to be referenced.

Parameters

[in]	m	INTEGER On entry, m specifies the number of rows of each matrix C. m >= 0.
[in]	n	INTEGER On entry, n specifies the number of columns of each matrix C. n >= 0.
[in]	alpha	DOUBLE PRECISION On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array A of DIMENSION ( ldda, ka ), where ka is m when side = MagmaLower and is n otherwise. Before entry with side = MagmaLeft, the m by m part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading m by m upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading m by m lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the n by n part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER On entry, ldda specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then ldda >= max( 1, m ), otherwise ldda >= max( 1, n ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array B of DIMENSION ( lddb, n ). Before entry, the leading m by n part of the array B must contain the matrix B.
[in]	lddb	INTEGER On entry, lddb specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, m ).
[in]	beta	DOUBLE PRECISION On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array C of DIMENSION ( lddc, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.
[in]	lddc	INTEGER On entry, lddc specifies the first dimension of C as declared in the calling (sub) program. lddc >= max( 1, m ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_dsymm_vbatched()

void magmablas_dsymm_vbatched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t *	m,
		magma_int_t *	n,
		double	alpha,
		double **	dA_array,
		magma_int_t *	ldda,
		double **	dB_array,
		magma_int_t *	lddb,
		double	beta,
		double **	dC_array,
		magma_int_t *	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

DSYMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a symmetric matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each symmetric matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each symmetric matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the symmetric matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the symmetric matrix is to be referenced.

Parameters

[in]	m	INTEGER array, dimension(batchCount + 1). On entry, each element M specifies the number of rows of each matrix C. M >= 0.
[in]	n	INTEGER array, dimension(batchCount + 1). On entry, each element N specifies the number of columns of each matrix C. N >= 0.
[in]	alpha	DOUBLE PRECISION On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array A of DIMENSION ( LDDA, ka ), where ka is M when side = MagmaLower and is N otherwise. Before entry with side = MagmaLeft, the M by M part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading M by M upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading M by M lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the N by N part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading N by N upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading N by N lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER array, dimension(batchCount + 1). On entry, each element LDDA specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then LDDA >= max( 1, M ), otherwise LDDA >= max( 1, N ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array B of DIMENSION ( LDDB, N ). Before entry, the leading M by N part of the array B must contain the matrix B.
[in]	lddb	INTEGER array, dimension(batchCount + 1). On entry, each element LDDB specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, M ).
[in]	beta	DOUBLE PRECISION On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a DOUBLE PRECISION array C of DIMENSION ( LDDC, N ). Before entry, the leading M by N part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the M by N updated matrix.
[in]	lddc	INTEGER array, dimension(batchCount + 1). On entry, each element LDDC specifies the first dimension of C as declared in the calling (sub) program. LDDC >= max( 1, M ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_ssymm_batched()

void magmablas_ssymm_batched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t	m,
		magma_int_t	n,
		float	alpha,
		float **	dA_array,
		magma_int_t	ldda,
		float **	dB_array,
		magma_int_t	lddb,
		float	beta,
		float **	dC_array,
		magma_int_t	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

SSYMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a symmetric matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each symmetric matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each symmetric matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the symmetric matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the symmetric matrix is to be referenced.

Parameters

[in]	m	INTEGER On entry, m specifies the number of rows of each matrix C. m >= 0.
[in]	n	INTEGER On entry, n specifies the number of columns of each matrix C. n >= 0.
[in]	alpha	REAL On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a REAL array A of DIMENSION ( ldda, ka ), where ka is m when side = MagmaLower and is n otherwise. Before entry with side = MagmaLeft, the m by m part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading m by m upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading m by m lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the n by n part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER On entry, ldda specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then ldda >= max( 1, m ), otherwise ldda >= max( 1, n ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a REAL array B of DIMENSION ( lddb, n ). Before entry, the leading m by n part of the array B must contain the matrix B.
[in]	lddb	INTEGER On entry, lddb specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, m ).
[in]	beta	REAL On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a REAL array C of DIMENSION ( lddc, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.
[in]	lddc	INTEGER On entry, lddc specifies the first dimension of C as declared in the calling (sub) program. lddc >= max( 1, m ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_ssymm_vbatched()

void magmablas_ssymm_vbatched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t *	m,
		magma_int_t *	n,
		float	alpha,
		float **	dA_array,
		magma_int_t *	ldda,
		float **	dB_array,
		magma_int_t *	lddb,
		float	beta,
		float **	dC_array,
		magma_int_t *	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

SSYMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a symmetric matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each symmetric matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each symmetric matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the symmetric matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the symmetric matrix is to be referenced.

Parameters

[in]	m	INTEGER array, dimension(batchCount + 1). On entry, each element M specifies the number of rows of each matrix C. M >= 0.
[in]	n	INTEGER array, dimension(batchCount + 1). On entry, each element N specifies the number of columns of each matrix C. N >= 0.
[in]	alpha	REAL On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a REAL array A of DIMENSION ( LDDA, ka ), where ka is M when side = MagmaLower and is N otherwise. Before entry with side = MagmaLeft, the M by M part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading M by M upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading M by M lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the N by N part of the array A must contain the symmetric matrix, such that when uplo = MagmaUpper, the leading N by N upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading N by N lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER array, dimension(batchCount + 1). On entry, each element LDDA specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then LDDA >= max( 1, M ), otherwise LDDA >= max( 1, N ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a REAL array B of DIMENSION ( LDDB, N ). Before entry, the leading M by N part of the array B must contain the matrix B.
[in]	lddb	INTEGER array, dimension(batchCount + 1). On entry, each element LDDB specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, M ).
[in]	beta	REAL On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a REAL array C of DIMENSION ( LDDC, N ). Before entry, the leading M by N part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the M by N updated matrix.
[in]	lddc	INTEGER array, dimension(batchCount + 1). On entry, each element LDDC specifies the first dimension of C as declared in the calling (sub) program. LDDC >= max( 1, M ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_zhemm_batched()

void magmablas_zhemm_batched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex **	dA_array,
		magma_int_t	ldda,
		magmaDoubleComplex **	dB_array,
		magma_int_t	lddb,
		magmaDoubleComplex	beta,
		magmaDoubleComplex **	dC_array,
		magma_int_t	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

ZHEMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a Hermitian matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each Hermitian matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each Hermitian matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the Hermitian matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the Hermitian matrix is to be referenced.

Parameters

[in]	m	INTEGER On entry, m specifies the number of rows of each matrix C. m >= 0.
[in]	n	INTEGER On entry, n specifies the number of columns of each matrix C. n >= 0.
[in]	alpha	COMPLEX*16 On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array A of DIMENSION ( ldda, ka ), where ka is m when side = MagmaLower and is n otherwise. Before entry with side = MagmaLeft, the m by m part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading m by m upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading m by m lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the n by n part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading n by n upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading n by n lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER On entry, ldda specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then ldda >= max( 1, m ), otherwise ldda >= max( 1, n ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array B of DIMENSION ( lddb, n ). Before entry, the leading m by n part of the array B must contain the matrix B.
[in]	lddb	INTEGER On entry, lddb specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, m ).
[in]	beta	COMPLEX*16 On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array C of DIMENSION ( lddc, n ). Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n updated matrix.
[in]	lddc	INTEGER On entry, lddc specifies the first dimension of C as declared in the calling (sub) program. lddc >= max( 1, m ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

◆ magmablas_zhemm_vbatched()

void magmablas_zhemm_vbatched	(	magma_side_t	side,
		magma_uplo_t	uplo,
		magma_int_t *	m,
		magma_int_t *	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex **	dA_array,
		magma_int_t *	ldda,
		magmaDoubleComplex **	dB_array,
		magma_int_t *	lddb,
		magmaDoubleComplex	beta,
		magmaDoubleComplex **	dC_array,
		magma_int_t *	lddc,
		magma_int_t	batchCount,
		magma_queue_t	queue )

ZHEMM performs one of the matrix-matrix operations.

C := alpha*A*B + beta*C,

or C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a Hermitian matrix, and B and C are m by n matrices.

Parameters

[in] side magma_side_t On entry, side specifies whether each Hermitian matrix A appears on the left or right in the operation as follows:

SIDE = MagmaLeft C := alpha*A*B + beta*C, SIDE = MagmaRight C := alpha*B*A + beta*C.

Parameters

[in] uplo magma_uplo_t On entry, uplo specifies whether the upper or lower triangular part of each Hermitian matrix A is to be referenced as follows:

uplo = MagmaUpper Only the upper triangular part of the Hermitian matrix is to be referenced. uplo = MagmaLower Only the lower triangular part of the Hermitian matrix is to be referenced.

Parameters

[in]	m	INTEGER array, dimension(batchCount + 1). On entry, each element M specifies the number of rows of each matrix C. M >= 0.
[in]	n	INTEGER array, dimension(batchCount + 1). On entry, each element N specifies the number of columns of each matrix C. N >= 0.
[in]	alpha	COMPLEX*16 On entry, alpha specifies the scalar alpha.
[in]	dA_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array A of DIMENSION ( LDDA, ka ), where ka is M when side = MagmaLower and is N otherwise. Before entry with side = MagmaLeft, the M by M part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading M by M upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading M by M lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Before entry with side = MagmaRight, the N by N part of the array A must contain the Hermitian matrix, such that when uplo = MagmaUpper, the leading N by N upper triangular part of the array A must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of A is not referenced, and when uplo = MagmaLower, the leading N by N lower triangular part of the array A must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
[in]	ldda	INTEGER array, dimension(batchCount + 1). On entry, each element LDDA specifies the first dimension of each A as declared in the calling (sub) program. When side = MagmaLower then LDDA >= max( 1, M ), otherwise LDDA >= max( 1, N ).
[in]	dB_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array B of DIMENSION ( LDDB, N ). Before entry, the leading M by N part of the array B must contain the matrix B.
[in]	lddb	INTEGER array, dimension(batchCount + 1). On entry, each element LDDB specifies the first dimension of B as declared in the calling (sub) program. LDDB >= max( 1, M ).
[in]	beta	COMPLEX*16 On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
[in,out]	dC_array	Array of pointers, dimension(batchCount). Each is a COMPLEX*16 array C of DIMENSION ( LDDC, N ). Before entry, the leading M by N part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the M by N updated matrix.
[in]	lddc	INTEGER array, dimension(batchCount + 1). On entry, each element LDDC specifies the first dimension of C as declared in the calling (sub) program. LDDC >= max( 1, M ).
[in]	batchCount	INTEGER The number of matrices to operate on.
[in]	queue	magma_queue_t Queue to execute in.

Functions

Detailed Description

Function Documentation

◆ magmablas_chemm_batched()

◆ magmablas_chemm_vbatched()

◆ magmablas_dsymm_batched()

◆ magmablas_dsymm_vbatched()

◆ magmablas_ssymm_batched()

◆ magmablas_ssymm_vbatched()

◆ magmablas_zhemm_batched()

◆ magmablas_zhemm_vbatched()