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

Functions
void	magma_csyr2k (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_const_ptr dB, magma_int_t lddb, magmaFloatComplex beta, magmaFloatComplex_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-2k update. More...

void	magma_dsyr2k (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, magmaDouble_const_ptr dB, magma_int_t lddb, double beta, magmaDouble_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-2k update. More...

void	magma_ssyr2k (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, magmaFloat_const_ptr dB, magma_int_t lddb, float beta, magmaFloat_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-2k update. More...

void	magma_zsyr2k (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_const_ptr dB, magma_int_t lddb, magmaDoubleComplex beta, magmaDoubleComplex_ptr dC, magma_int_t lddc, magma_queue_t queue)
	Perform symmetric rank-2k update. More...

Detailed Description

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

Function Documentation

void magma_csyr2k	(	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_const_ptr	dB,
		magma_int_t	lddb,
		magmaFloatComplex	beta,
		magmaFloatComplex_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-2k update.

\( C = \alpha A B^T + \alpha B A^T \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T B + \alpha B^T A \beta C \) (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 and B.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A and B (for MagmaNoTrans) or rows of A and B (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]	dB	COMPLEX array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix B of dimension (lddb,k), lddb >= max(1,n); otherwise, the k-by-n matrix B of dimension (lddb,n), lddb >= max(1,k).
[in]	lddb	Leading dimension of dB.
[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_dsyr2k	(	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,
		magmaDouble_const_ptr	dB,
		magma_int_t	lddb,
		double	beta,
		magmaDouble_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-2k update.

\( C = \alpha A B^T + \alpha B A^T \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T B + \alpha B^T A \beta C \) (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 and B.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A and B (for MagmaNoTrans) or rows of A and B (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]	dB	DOUBLE PRECISION array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix B of dimension (lddb,k), lddb >= max(1,n); otherwise, the k-by-n matrix B of dimension (lddb,n), lddb >= max(1,k).
[in]	lddb	Leading dimension of dB.
[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_ssyr2k	(	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,
		magmaFloat_const_ptr	dB,
		magma_int_t	lddb,
		float	beta,
		magmaFloat_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-2k update.

\( C = \alpha A B^T + \alpha B A^T \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T B + \alpha B^T A \beta C \) (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 and B.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A and B (for MagmaNoTrans) or rows of A and B (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]	dB	REAL array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix B of dimension (lddb,k), lddb >= max(1,n); otherwise, the k-by-n matrix B of dimension (lddb,n), lddb >= max(1,k).
[in]	lddb	Leading dimension of dB.
[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_zsyr2k	(	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_const_ptr	dB,
		magma_int_t	lddb,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dC,
		magma_int_t	lddc,
		magma_queue_t	queue
	)

Perform symmetric rank-2k update.

\( C = \alpha A B^T + \alpha B A^T \beta C \) (trans == MagmaNoTrans), or
\( C = \alpha A^T B + \alpha B^T A \beta C \) (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 and B.
[in]	n	Number of rows and columns of C. n >= 0.
[in]	k	Number of columns of A and B (for MagmaNoTrans) or rows of A and B (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]	dB	COMPLEX_16 array on GPU device. If trans == MagmaNoTrans, the n-by-k matrix B of dimension (lddb,k), lddb >= max(1,n); otherwise, the k-by-n matrix B of dimension (lddb,n), lddb >= max(1,k).
[in]	lddb	Leading dimension of dB.
[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.

Functions

Detailed Description

Function Documentation