MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
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\( A = \alpha xx^T + A \) 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]uploWhether the upper or lower triangle of A is referenced.
[in]nNumber of rows and columns of A. n >= 0.
[in]alphaScalar \( \alpha \)
[in]dxCOMPLEX array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]incxStride between consecutive elements of dx. incx != 0.
[in,out]dACOMPLEX array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]lddaLeading dimension of dA.
[in]queuemagma_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]uploWhether the upper or lower triangle of A is referenced.
[in]nNumber of rows and columns of A. n >= 0.
[in]alphaScalar \( \alpha \)
[in]dxDOUBLE PRECISION array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]incxStride between consecutive elements of dx. incx != 0.
[in,out]dADOUBLE PRECISION array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]lddaLeading dimension of dA.
[in]queuemagma_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]uploWhether the upper or lower triangle of A is referenced.
[in]nNumber of rows and columns of A. n >= 0.
[in]alphaScalar \( \alpha \)
[in]dxREAL array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]incxStride between consecutive elements of dx. incx != 0.
[in,out]dAREAL array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]lddaLeading dimension of dA.
[in]queuemagma_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]uploWhether the upper or lower triangle of A is referenced.
[in]nNumber of rows and columns of A. n >= 0.
[in]alphaScalar \( \alpha \)
[in]dxCOMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx).
[in]incxStride between consecutive elements of dx. incx != 0.
[in,out]dACOMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n). The n-by-n matrix A, on GPU device.
[in]lddaLeading dimension of dA.
[in]queuemagma_queue_t Queue to execute in.