syrk: Symmetric rank k update

\( C = \alpha A A^T + \beta C \) where \( C \) is symmetric More...

Functions
void	magma_csyrk (magma_uplo_t uplo, magma_trans_t trans, magma_int_t n, magma_int_t k, magmaFloatComplex alpha, magmaFloatComplex_const_ptr dA, magma_int_t ldda, magmaFloatComplex beta, magmaFloatComplex_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-k update. More...
void	magma_dsyrk (magma_uplo_t uplo, magma_trans_t trans, magma_int_t n, magma_int_t k, double alpha, magmaDouble_const_ptr dA, magma_int_t ldda, double beta, magmaDouble_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-k update. More...
void	magma_ssyrk (magma_uplo_t uplo, magma_trans_t trans, magma_int_t n, magma_int_t k, float alpha, magmaFloat_const_ptr dA, magma_int_t ldda, float beta, magmaFloat_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-k update. More...
void	magma_zsyrk (magma_uplo_t uplo, magma_trans_t trans, magma_int_t n, magma_int_t k, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dA, magma_int_t ldda, magmaDoubleComplex beta, magmaDoubleComplex_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-k update. More...

Detailed Description

\( C = \alpha A A^T + \beta C \) where \( C \) is symmetric

Function Documentation

void magma_csyrk	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	k,
		magmaFloatComplex	alpha,
		magmaFloatComplex_const_ptr	dA,
		magma_int_t	ldda,
		magmaFloatComplex	beta,
		magmaFloatComplex_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-k update.

\( C = \alpha A A^T + \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T A + \beta C \) (trans == MagmaTrans),
where \( C \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of C is referenced.
[in]	trans	Operation to perform on A.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A (for MagmaNoTrans) or rows of A (for MagmaTrans). k >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dA	COMPLEX array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix A of dimension (ldda,k), ldda >= max(1,n); otherwise, the k-by-n matrix A of dimension (ldda,n), ldda >= max(1,k).
[in]	ldda	Leading dimension of dA.
[in]	beta	Scalar \( \beta \)
[in,out]	dC	COMPLEX array on GPU device. The n-by-n symmetric matrix C of dimension (lddc,n), lddc >= max(1,n).
[in]	lddc	Leading dimension of dC.
[in]	queue	magma_queue_t Queue to execute in.

void magma_dsyrk	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	k,
		double	alpha,
		magmaDouble_const_ptr	dA,
		magma_int_t	ldda,
		double	beta,
		magmaDouble_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-k update.

\( C = \alpha A A^T + \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T A + \beta C \) (trans == MagmaTrans),
where \( C \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of C is referenced.
[in]	trans	Operation to perform on A.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A (for MagmaNoTrans) or rows of A (for MagmaTrans). k >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dA	DOUBLE PRECISION array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix A of dimension (ldda,k), ldda >= max(1,n); otherwise, the k-by-n matrix A of dimension (ldda,n), ldda >= max(1,k).
[in]	ldda	Leading dimension of dA.
[in]	beta	Scalar \( \beta \)
[in,out]	dC	DOUBLE PRECISION array on GPU device. The n-by-n symmetric matrix C of dimension (lddc,n), lddc >= max(1,n).
[in]	lddc	Leading dimension of dC.
[in]	queue	magma_queue_t Queue to execute in.

void magma_ssyrk	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	k,
		float	alpha,
		magmaFloat_const_ptr	dA,
		magma_int_t	ldda,
		float	beta,
		magmaFloat_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-k update.

\( C = \alpha A A^T + \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T A + \beta C \) (trans == MagmaTrans),
where \( C \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of C is referenced.
[in]	trans	Operation to perform on A.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A (for MagmaNoTrans) or rows of A (for MagmaTrans). k >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dA	REAL array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix A of dimension (ldda,k), ldda >= max(1,n); otherwise, the k-by-n matrix A of dimension (ldda,n), ldda >= max(1,k).
[in]	ldda	Leading dimension of dA.
[in]	beta	Scalar \( \beta \)
[in,out]	dC	REAL array on GPU device. The n-by-n symmetric matrix C of dimension (lddc,n), lddc >= max(1,n).
[in]	lddc	Leading dimension of dC.
[in]	queue	magma_queue_t Queue to execute in.

void magma_zsyrk	(	magma_uplo_t	uplo,
		magma_trans_t	trans,
		magma_int_t	n,
		magma_int_t	k,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_const_ptr	dA,
		magma_int_t	ldda,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-k update.

\( C = \alpha A A^T + \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T A + \beta C \) (trans == MagmaTrans),
where \( C \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of C is referenced.
[in]	trans	Operation to perform on A.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A (for MagmaNoTrans) or rows of A (for MagmaTrans). k >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dA	COMPLEX_16 array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix A of dimension (ldda,k), ldda >= max(1,n); otherwise, the k-by-n matrix A of dimension (ldda,n), ldda >= max(1,k).
[in]	ldda	Leading dimension of dA.
[in]	beta	Scalar \( \beta \)
[in,out]	dC	COMPLEX_16 array on GPU device. The n-by-n symmetric matrix C of dimension (lddc,n), lddc >= max(1,n).
[in]	lddc	Leading dimension of dC.
[in]	queue	magma_queue_t Queue to execute in.