syr2k: Symmetric rank 2k update

Functions
template<Target target = Target::HostTask, typename scalar_t >
void	slate::internal::syr2k (scalar_t alpha, Matrix< scalar_t > &&A, Matrix< scalar_t > &&B, scalar_t beta, SymmetricMatrix< scalar_t > &&C, int priority, int queue_index, Layout layout)
	Symmetric rank-2k update of single block column (i.e., k = nb).
template<typename scalar_t >
void	slate::internal::syr2k (internal::TargetType< Target::HostTask >, scalar_t alpha, Matrix< scalar_t > &A, Matrix< scalar_t > &B, scalar_t beta, SymmetricMatrix< scalar_t > &C, int priority, int queue_index, Layout layout)
	Symmetric rank-2k update of single block column (i.e., k = nb).
template<typename scalar_t >
void	slate::internal::syr2k (internal::TargetType< Target::HostNest >, scalar_t alpha, Matrix< scalar_t > &A, Matrix< scalar_t > &B, scalar_t beta, SymmetricMatrix< scalar_t > &C, int priority, int queue_index, Layout layout)
	Symmetric rank-2k update of single block column (i.e., k = nb).
template<typename scalar_t >
void	slate::internal::syr2k (internal::TargetType< Target::HostBatch >, scalar_t alpha, Matrix< scalar_t > &A, Matrix< scalar_t > &B, scalar_t beta, SymmetricMatrix< scalar_t > &C, int priority, int queue_index, Layout layout)
	Symmetric rank-2k update of single block column (i.e., k = nb).
template<typename scalar_t >
void	slate::internal::syr2k (internal::TargetType< Target::Devices >, scalar_t alpha, Matrix< scalar_t > &A, Matrix< scalar_t > &B, scalar_t beta, SymmetricMatrix< scalar_t > &C, int priority, int queue_index, Layout layout)
	Symmetric rank-2k update of single block column (i.e., k = nb).

Detailed Description

Function Documentation

syr2k() [1/5]

template<typename scalar_t >

void slate::internal::syr2k	(	internal::TargetType< Target::Devices >	,
		scalar_t	alpha,
		Matrix< scalar_t > &	A,
		Matrix< scalar_t > &	B,
		scalar_t	beta,
		SymmetricMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Symmetric rank-2k update of single block column (i.e., k = nb).

GPU device batched cuBLAS implementation. Assumes A is NoTrans or Trans; C is Lower, NoTrans or Upper, Trans.

syr2k() [2/5]

template<typename scalar_t >

void slate::internal::syr2k	(	internal::TargetType< Target::HostBatch >	,
		scalar_t	alpha,
		Matrix< scalar_t > &	A,
		Matrix< scalar_t > &	B,
		scalar_t	beta,
		SymmetricMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Symmetric rank-2k update of single block column (i.e., k = nb).

Host batched implementation. Assumes A is NoTrans or Trans; C is Lower, NoTrans or Upper, Trans.

syr2k() [3/5]

template<typename scalar_t >

void slate::internal::syr2k	(	internal::TargetType< Target::HostNest >	,
		scalar_t	alpha,
		Matrix< scalar_t > &	A,
		Matrix< scalar_t > &	B,
		scalar_t	beta,
		SymmetricMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Symmetric rank-2k update of single block column (i.e., k = nb).

Host nested OpenMP implementation. Assumes A is NoTrans or Trans; C is Lower, NoTrans or Upper, Trans.

syr2k() [4/5]

template<typename scalar_t >

void slate::internal::syr2k	(	internal::TargetType< Target::HostTask >	,
		scalar_t	alpha,
		Matrix< scalar_t > &	A,
		Matrix< scalar_t > &	B,
		scalar_t	beta,
		SymmetricMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Symmetric rank-2k update of single block column (i.e., k = nb).

Host OpenMP task implementation. Assumes A is NoTrans or Trans; C is Lower, NoTrans or Upper, Trans.

syr2k() [5/5]

template<Target target = Target::HostTask, typename scalar_t >

void slate::internal::syr2k	(	scalar_t	alpha,
		Matrix< scalar_t > &&	A,
		Matrix< scalar_t > &&	B,
		scalar_t	beta,
		SymmetricMatrix< scalar_t > &&	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Symmetric rank-2k update of single block column (i.e., k = nb).

Dispatches to target implementations. C is Lower, NoTrans or Upper, Trans/ConjTrans. In complex case, A, B, and C cannot be ConjTrans. Requires op(A) and op(B) to be the same, either both NoTrans, or both Trans.