syr: Symmetric rank 1 update

\( A = \alpha xx^T + A \) More...

Functions
void	magma_csyr (magma_uplo_t uplo, magma_int_t n, magmaFloatComplex alpha, magmaFloatComplex_const_ptr dx, magma_int_t incx, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric. More...
void	magma_dsyr (magma_uplo_t uplo, magma_int_t n, double alpha, magmaDouble_const_ptr dx, magma_int_t incx, magmaDouble_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric. More...
void	magma_ssyr (magma_uplo_t uplo, magma_int_t n, float alpha, magmaFloat_const_ptr dx, magma_int_t incx, magmaFloat_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric. More...
void	magma_zsyr (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric. More...

Detailed Description

\( A = \alpha xx^T + A \)

Function Documentation

void magma_csyr	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magmaFloatComplex	alpha,
		magmaFloatComplex_const_ptr	dx,
		magma_int_t	incx,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue
	)

Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of A is referenced.
[in]	n	Number of rows and columns of A. n >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dx	COMPLEX array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dA	COMPLEX array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]	ldda	Leading dimension of dA.
[in]	queue	magma_queue_t Queue to execute in.

void magma_dsyr	(	magma_uplo_t	uplo,
		magma_int_t	n,
		double	alpha,
		magmaDouble_const_ptr	dx,
		magma_int_t	incx,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue
	)

Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of A is referenced.
[in]	n	Number of rows and columns of A. n >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dx	DOUBLE PRECISION array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dA	DOUBLE PRECISION array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]	ldda	Leading dimension of dA.
[in]	queue	magma_queue_t Queue to execute in.

void magma_ssyr	(	magma_uplo_t	uplo,
		magma_int_t	n,
		float	alpha,
		magmaFloat_const_ptr	dx,
		magma_int_t	incx,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue
	)

Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of A is referenced.
[in]	n	Number of rows and columns of A. n >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dx	REAL array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dA	REAL array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]	ldda	Leading dimension of dA.
[in]	queue	magma_queue_t Queue to execute in.

void magma_zsyr	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_const_ptr	dx,
		magma_int_t	incx,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue
	)

Perform symmetric rank-1 update, \( A = \alpha x x^T + A, \) where \( A \) is symmetric.

Parameters

[in]	uplo	Whether the upper or lower triangle of A is referenced.
[in]	n	Number of rows and columns of A. n >= 0.
[in]	alpha	Scalar \( \alpha \)
[in]	dx	COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dA	COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]	ldda	Leading dimension of dA.
[in]	queue	magma_queue_t Queue to execute in.