herk: Hermitian rank k update

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

Detailed Description

Function Documentation

herk() [1/5]

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

void slate::internal::herk	(	blas::real_type< scalar_t >	alpha,
		Matrix< scalar_t > &&	A,
		blas::real_type< scalar_t >	beta,
		HermitianMatrix< scalar_t > &&	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

Hermitian rank-k 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 and C cannot be Trans.

herk() [2/5]

template<typename scalar_t >

void slate::internal::herk	(	internal::TargetType< Target::Devices >	,
		blas::real_type< scalar_t >	alpha,
		Matrix< scalar_t > &	A,
		blas::real_type< scalar_t >	beta,
		HermitianMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

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

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

herk() [3/5]

template<typename scalar_t >

void slate::internal::herk	(	internal::TargetType< Target::HostBatch >	,
		blas::real_type< scalar_t >	alpha,
		Matrix< scalar_t > &	A,
		blas::real_type< scalar_t >	beta,
		HermitianMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

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

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

herk() [4/5]

template<typename scalar_t >

void slate::internal::herk	(	internal::TargetType< Target::HostNest >	,
		blas::real_type< scalar_t >	alpha,
		Matrix< scalar_t > &	A,
		blas::real_type< scalar_t >	beta,
		HermitianMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

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

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

herk() [5/5]

template<typename scalar_t >

void slate::internal::herk	(	internal::TargetType< Target::HostTask >	,
		blas::real_type< scalar_t >	alpha,
		Matrix< scalar_t > &	A,
		blas::real_type< scalar_t >	beta,
		HermitianMatrix< scalar_t > &	C,
		int	priority,
		int	queue_index,
		Layout	layout
	)

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

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