syr2: Symmetric rank 2 update

\(A = \alpha xy^T + \alpha yx^T + A\) More...

Functions
void	magma_csyr2 (magma_uplo_t uplo, magma_int_t n, magmaFloatComplex alpha, magmaFloatComplex_const_ptr dx, magma_int_t incx, magmaFloatComplex_const_ptr dy, magma_int_t incy, magmaFloatComplex_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) where \( A \) is symmetric.
void	magma_dsyr2 (magma_uplo_t uplo, magma_int_t n, double alpha, magmaDouble_const_ptr dx, magma_int_t incx, magmaDouble_const_ptr dy, magma_int_t incy, magmaDouble_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) where \( A \) is symmetric.
void	magma_ssyr2 (magma_uplo_t uplo, magma_int_t n, float alpha, magmaFloat_const_ptr dx, magma_int_t incx, magmaFloat_const_ptr dy, magma_int_t incy, magmaFloat_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) where \( A \) is symmetric.
void	magma_zsyr2 (magma_uplo_t uplo, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_const_ptr dx, magma_int_t incx, magmaDoubleComplex_const_ptr dy, magma_int_t incy, magmaDoubleComplex_ptr dA, magma_int_t ldda, magma_queue_t queue)
	Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) where \( A \) is symmetric.

Detailed Description

\(A = \alpha xy^T + \alpha yx^T + A\)

Function Documentation

magma_csyr2()

void magma_csyr2	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magmaFloatComplex	alpha,
		magmaFloatComplex_const_ptr	dx,
		magma_int_t	incx,
		magmaFloatComplex_const_ptr	dy,
		magma_int_t	incy,
		magmaFloatComplex_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue )

Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) 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]	dy	COMPLEX array on GPU device. The n element vector y of dimension (1 + (n-1)*incy).
[in]	incy	Stride between consecutive elements of dy. incy != 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.

magma_dsyr2()

void magma_dsyr2	(	magma_uplo_t	uplo,
		magma_int_t	n,
		double	alpha,
		magmaDouble_const_ptr	dx,
		magma_int_t	incx,
		magmaDouble_const_ptr	dy,
		magma_int_t	incy,
		magmaDouble_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue )

Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) 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]	dy	DOUBLE PRECISION array on GPU device. The n element vector y of dimension (1 + (n-1)*incy).
[in]	incy	Stride between consecutive elements of dy. incy != 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.

magma_ssyr2()

void magma_ssyr2	(	magma_uplo_t	uplo,
		magma_int_t	n,
		float	alpha,
		magmaFloat_const_ptr	dx,
		magma_int_t	incx,
		magmaFloat_const_ptr	dy,
		magma_int_t	incy,
		magmaFloat_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue )

Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) 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]	dy	REAL array on GPU device. The n element vector y of dimension (1 + (n-1)*incy).
[in]	incy	Stride between consecutive elements of dy. incy != 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.

magma_zsyr2()

void magma_zsyr2	(	magma_uplo_t	uplo,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_const_ptr	dx,
		magma_int_t	incx,
		magmaDoubleComplex_const_ptr	dy,
		magma_int_t	incy,
		magmaDoubleComplex_ptr	dA,
		magma_int_t	ldda,
		magma_queue_t	queue )

Perform symmetric rank-2 update, \( A = \alpha x y^T + \alpha y x^T + A, \) 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]	dy	COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy).
[in]	incy	Stride between consecutive elements of dy. incy != 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.