Functions
magma_int_t	magma_zcustomspmv (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex beta, magmaDoubleComplex x, magmaDoubleComplex y, magma_queue_t queue)
	This is an interface to any custom sparse matrix vector product. More...

magma_int_t	magma_dsgecsrmv_mixed_prec (magma_trans_t transA, magma_int_t m, magma_int_t n, double alpha, magmaDouble_ptr ddiagval, magmaFloat_ptr doffdiagval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDouble_ptr dx, double beta, magmaDouble_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_z_spmv (magmaDoubleComplex alpha, magma_z_matrix A, magma_z_matrix x, magmaDoubleComplex beta, magma_z_matrix y, magma_queue_t queue)
	For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * A * x + beta * y. More...

magma_int_t	magma_z_spmv_shift (magmaDoubleComplex alpha, magma_z_matrix A, magmaDoubleComplex lambda, magma_z_matrix x, magmaDoubleComplex beta, magma_int_t offset, magma_int_t blocksize, magma_index_t *add_rows, magma_z_matrix y, magma_queue_t queue)
	For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * ( A - lambda I ) * x + beta * y. More...

magma_int_t	magma_z_spmm (magmaDoubleComplex alpha, magma_z_matrix A, magma_z_matrix B, magma_z_matrix *C, magma_queue_t queue)
	For a given input matrix A and B and scalar alpha, the wrapper determines the suitable SpMV computing C = alpha * A * B. More...

magma_int_t	magma_zcuspaxpy (magmaDoubleComplex alpha, magma_z_matrix A, magmaDoubleComplex beta, magma_z_matrix B, magma_z_matrix *AB, magma_queue_t queue)
	This is an interface to the cuSPARSE routine csrgeam computing the sum of two sparse matrices stored in csr format: More...

magma_int_t	magma_zcuspmm (magma_z_matrix A, magma_z_matrix B, magma_z_matrix *AB, magma_queue_t queue)
	This is an interface to the cuSPARSE routine csrmm computing the product of two sparse matrices stored in csr format. More...

magma_int_t	magma_zcgecsrmv_mixed_prec (magma_trans_t transA, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_ptr ddiagval, magmaFloatComplex_ptr doffdiagval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_zge3pt (magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex beta, magmaDoubleComplex_ptr dx, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine is a 3-pt-stencil operator derived from a FD-scheme in 2D with Dirichlet boundary. More...

magma_int_t	magma_zgeaxpy (magmaDoubleComplex alpha, magma_z_matrix X, magmaDoubleComplex beta, magma_z_matrix *Y, magma_queue_t queue)
	This routine computes Y = alpha * X + beta * Y on the GPU. More...

magma_int_t	magma_zgecsr5mv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t p, magmaDoubleComplex alpha, magma_int_t sigma, magma_int_t bit_y_offset, magma_int_t bit_scansum_offset, magma_int_t num_packet, magmaUIndex_ptr dtile_ptr, magmaUIndex_ptr dtile_desc, magmaIndex_ptr dtile_desc_offset_ptr, magmaIndex_ptr dtile_desc_offset, magmaDoubleComplex_ptr dcalibrator, magma_int_t tail_tile_start, magmaDoubleComplex_ptr dval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_zgecsrmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_zgecsrmv_shift (magma_trans_t transA, magma_int_t m, magma_int_t n, magmaDoubleComplex alpha, magmaDoubleComplex lambda, magmaDoubleComplex_ptr dval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magma_int_t offset, magma_int_t blocksize, magma_index_t *addrows, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * ( A -lambda I ) * x + beta * y on the GPU. More...

magma_int_t	magma_zgecsrreimsplit (magma_z_matrix A, magma_z_matrix ReA, magma_z_matrix ImA, magma_queue_t queue)
	This routine takes an input matrix A in CSR format and located on the GPU and splits it into two matrixes ReA and ImA containing the real and the imaginary contributions of A. More...

magma_int_t	magma_zgedensereimsplit (magma_z_matrix A, magma_z_matrix ReA, magma_z_matrix ImA, magma_queue_t queue)
	This routine takes an input matrix A in DENSE format and located on the GPU and splits it into two matrixes ReA and ImA containing the real and the imaginary contributions of A. More...

magma_int_t	magma_zgeellmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_zgeellmv_shift (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex lambda, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magma_int_t offset, magma_int_t blocksize, magmaIndex_ptr addrows, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha ( A - lambda I ) x + beta * y on the GPU. More...

magma_int_t	magma_zgeellrtmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaIndex_ptr drowlength, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_int_t alignment, magma_int_t blocksize, magma_queue_t queue)
	This routine computes y = alpha * A * x + beta * y on the GPU. More...

magma_int_t	magma_zgeelltmv_shift (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex lambda, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magma_int_t offset, magma_int_t blocksize, magmaIndex_ptr addrows, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha ( A - lambda I ) x + beta * y on the GPU. More...

magma_int_t	magma_zmdotc (magma_int_t n, magma_int_t k, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr skp, magma_queue_t queue)
	Computes the scalar product of a set of vectors v_i such that. More...

magma_int_t	magma_zgesellpmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t blocksize, magma_int_t slices, magma_int_t alignment, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaIndex_ptr drowptr, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A^t * x + beta * y on the GPU. More...

magma_int_t	magma_zgesellcmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t blocksize, magma_int_t slices, magma_int_t alignment, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaIndex_ptr drowptr, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes y = alpha * A^t * x + beta * y on the GPU. More...

magma_int_t	magma_zmdotc_shfl (magma_int_t n, magma_int_t k, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr skp, magma_queue_t queue)
	Computes the scalar product of a set of vectors v_i such that. More...

magma_int_t	magma_zmdotc4 (magma_int_t n, magmaDoubleComplex_ptr v0, magmaDoubleComplex_ptr w0, magmaDoubleComplex_ptr v1, magmaDoubleComplex_ptr w1, magmaDoubleComplex_ptr v2, magmaDoubleComplex_ptr w2, magmaDoubleComplex_ptr v3, magmaDoubleComplex_ptr w3, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr skp, magma_queue_t queue)
	Computes the scalar product of a set of 4 vectors such that. More...

magma_int_t	magma_zmgecsrmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t num_vecs, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr drowptr, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU. More...

magma_int_t	magma_zmgeellmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t num_vecs, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU. More...

magma_int_t	magma_zmgeelltmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t num_vecs, magma_int_t nnz_per_row, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU. More...

magma_int_t	magma_zmgesellpmv (magma_trans_t transA, magma_int_t m, magma_int_t n, magma_int_t num_vecs, magma_int_t blocksize, magma_int_t slices, magma_int_t alignment, magmaDoubleComplex alpha, magmaDoubleComplex_ptr dval, magmaIndex_ptr dcolind, magmaIndex_ptr drowptr, magmaDoubleComplex_ptr dx, magmaDoubleComplex beta, magmaDoubleComplex_ptr dy, magma_queue_t queue)
	This routine computes Y = alpha * A^t * X + beta * Y on the GPU. More...

Detailed Description

Function Documentation

magma_int_t magma_zcustomspmv	(	magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex	beta,
		magmaDoubleComplex *	x,
		magmaDoubleComplex *	y,
		magma_queue_t	queue
	)

This is an interface to any custom sparse matrix vector product.

It should compute y = alpha*FUNCTION(x) + beta*y The vectors are located on the device, the scalars on the CPU.

Parameters

[in]	m	magma_int_t number of rows
[in]	n	magma_int_t number of columns
[in]	alpha	magmaDoubleComplex scalar alpha
[in]	x	magmaDoubleComplex * input vector x
[in]	beta	magmaDoubleComplex scalar beta
[out]	y	magmaDoubleComplex * output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_dsgecsrmv_mixed_prec	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		double	alpha,
		magmaDouble_ptr	ddiagval,
		magmaFloat_ptr	doffdiagval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDouble_ptr	dx,
		double	beta,
		magmaDouble_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

A is a matrix in mixed precision, i.e. the diagonal values are stored in high precision, the offdiagonal values in low precision. The input format is a CSR (val, row, col) in FloatComplex storing all offdiagonal elements and an array containing the diagonal values in DoubleComplex.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	alpha	double scalar multiplier
[in]	ddiagval	magmaDouble_ptr array containing diagonal values of A in DoubleComplex
[in]	doffdiagval	magmaFloat_ptr array containing offdiag values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDouble_ptr input vector x
[in]	beta	double scalar multiplier
[out]	dy	magmaDouble_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_z_spmv	(	magmaDoubleComplex	alpha,
		magma_z_matrix	A,
		magma_z_matrix	x,
		magmaDoubleComplex	beta,
		magma_z_matrix	y,
		magma_queue_t	queue
	)

For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * A * x + beta * y.

Parameters

[in]	alpha	magmaDoubleComplex scalar alpha
[in]	A	magma_z_matrix sparse matrix A
[in]	x	magma_z_matrix input vector x
[in]	beta	magmaDoubleComplex scalar beta
[out]	y	magma_z_matrix output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_z_spmv_shift	(	magmaDoubleComplex	alpha,
		magma_z_matrix	A,
		magmaDoubleComplex	lambda,
		magma_z_matrix	x,
		magmaDoubleComplex	beta,
		magma_int_t	offset,
		magma_int_t	blocksize,
		magma_index_t *	add_rows,
		magma_z_matrix	y,
		magma_queue_t	queue
	)

For a given input matrix A and vectors x, y and scalars alpha, beta the wrapper determines the suitable SpMV computing y = alpha * ( A - lambda I ) * x + beta * y.

Parameters

	alpha	magmaDoubleComplex scalar alpha
	A	magma_z_matrix sparse matrix A
	lambda	magmaDoubleComplex scalar lambda
	x	magma_z_matrix input vector x
	beta	magmaDoubleComplex scalar beta
	offset	magma_int_t in case not the main diagonal is scaled
	blocksize	magma_int_t in case of processing multiple vectors
	add_rows	magma_int_t* in case the matrixpowerskernel is used
	y	magma_z_matrix output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_z_spmm	(	magmaDoubleComplex	alpha,
		magma_z_matrix	A,
		magma_z_matrix	B,
		magma_z_matrix *	C,
		magma_queue_t	queue
	)

For a given input matrix A and B and scalar alpha, the wrapper determines the suitable SpMV computing C = alpha * A * B.

Parameters

[in]	alpha	magmaDoubleComplex scalar alpha
[in]	A	magma_z_matrix sparse matrix A
[in]	B	magma_z_matrix sparse matrix C
[out]	C	magma_z_matrix * outpur sparse matrix C
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zcuspaxpy	(	magmaDoubleComplex *	alpha,
		magma_z_matrix	A,
		magmaDoubleComplex *	beta,
		magma_z_matrix	B,
		magma_z_matrix *	AB,
		magma_queue_t	queue
	)

This is an interface to the cuSPARSE routine csrgeam computing the sum of two sparse matrices stored in csr format:

C = alpha * A + beta * B

Parameters

[in]	alpha	magmaDoubleComplex* scalar
[in]	A	magma_z_matrix input matrix
[in]	beta	magmaDoubleComplex* scalar
[in]	B	magma_z_matrix input matrix
[out]	AB	magma_z_matrix* output matrix AB = alpha * A + beta * B
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zcuspmm	(	magma_z_matrix	A,
		magma_z_matrix	B,
		magma_z_matrix *	AB,
		magma_queue_t	queue
	)

This is an interface to the cuSPARSE routine csrmm computing the product of two sparse matrices stored in csr format.

Parameters

[in]	A	magma_z_matrix input matrix
[in]	B	magma_z_matrix input matrix
[out]	AB	magma_z_matrix* output matrix AB = A * B
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zcgecsrmv_mixed_prec	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	ddiagval,
		magmaFloatComplex_ptr	doffdiagval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

A is a matrix in mixed precision, i.e. the diagonal values are stored in high precision, the offdiagonal values in low precision. The input format is a CSR (val, row, col) in FloatComplex storing all offdiagonal elements and an array containing the diagonal values in DoubleComplex.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	ddiagval	magmaDoubleComplex_ptr array containing diagonal values of A in DoubleComplex
[in]	doffdiagval	magmaFloatComplex_ptr array containing offdiag values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zge3pt	(	magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine is a 3-pt-stencil operator derived from a FD-scheme in 2D with Dirichlet boundary.

It computes y_i = -2 x_i + x_{i-1} + x_{i+1}

Parameters

[in]	m	magma_int_t number of rows in x and y
[in]	n	magma_int_t number of columns in x and y
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	beta	magmaDoubleComplex scalar multiplier
[in]	dx	magmaDoubleComplex_ptr input vector x
[out]	dy	magmaDoubleComplex_ptr output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgeaxpy	(	magmaDoubleComplex	alpha,
		magma_z_matrix	X,
		magmaDoubleComplex	beta,
		magma_z_matrix *	Y,
		magma_queue_t	queue
	)

This routine computes Y = alpha * X + beta * Y on the GPU.

The input format is magma_z_matrix. It can handle both, dense matrix (vector block) and CSR matrices. For the latter, it interfaces the cuSPARSE library.

Parameters

[in]	alpha	magmaDoubleComplex scalar multiplier.
[in]	X	magma_z_matrix input/output matrix Y.
[in]	beta	magmaDoubleComplex scalar multiplier.
[in,out]	Y	magma_z_matrix* input matrix X.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgecsr5mv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	p,
		magmaDoubleComplex	alpha,
		magma_int_t	sigma,
		magma_int_t	bit_y_offset,
		magma_int_t	bit_scansum_offset,
		magma_int_t	num_packet,
		magmaUIndex_ptr	dtile_ptr,
		magmaUIndex_ptr	dtile_desc,
		magmaIndex_ptr	dtile_desc_offset_ptr,
		magmaIndex_ptr	dtile_desc_offset,
		magmaDoubleComplex_ptr	dcalibrator,
		magma_int_t	tail_tile_start,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

The input format is CSR5 (val (tile-wise column-major), row_pointer, col (tile-wise column-major), tile_pointer, tile_desc).

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	p	magma_int_t number of tiles in A
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	sigma	magma_int_t sigma in A in CSR5
[in]	bit_y_offset	magma_int_t bit_y_offset in A in CSR5
[in]	bit_scansum_offset	magma_int_t bit_scansum_offset in A in CSR5
[in]	num_packet	magma_int_t num_packet in A in CSR5
[in]	dtile_ptr	magmaUIndex_ptr tilepointer of A in CSR5
[in]	dtile_desc	magmaUIndex_ptr tiledescriptor of A in CSR5
[in]	dtile_desc_offset_ptr	magmaIndex_ptr tiledescriptor_offsetpointer of A in CSR5
[in]	dtile_desc_offset	magmaIndex_ptr tiledescriptor_offsetpointer of A in CSR5
[in]	dcalibrator	magmaDoubleComplex_ptr calibrator of A in CSR5
[in]	tail_tile_start	magma_int_t start of the last tile in A
[in]	dval	magmaDoubleComplex_ptr array containing values of A in CSR
[in]	dval	magmaDoubleComplex_ptr array containing values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgecsrmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

The input format is CSR (val, row, col).

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgecsrmv_shift	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex	lambda,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magma_int_t	offset,
		magma_int_t	blocksize,
		magma_index_t *	addrows,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * ( A -lambda I ) * x + beta * y on the GPU.

It is a shifted version of the CSR-SpMV.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	lambda	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[in]	offset	magma_int_t in case not the main diagonal is scaled
[in]	blocksize	magma_int_t in case of processing multiple vectors
[in]	addrows	magmaIndex_ptr in case the matrixpowerskernel is used
[out]	dy	magmaDoubleComplex_ptr output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgecsrreimsplit	(	magma_z_matrix	A,
		magma_z_matrix *	ReA,
		magma_z_matrix *	ImA,
		magma_queue_t	queue
	)

This routine takes an input matrix A in CSR format and located on the GPU and splits it into two matrixes ReA and ImA containing the real and the imaginary contributions of A.

The output matrices are allocated within the routine.

Parameters

[in]	A	magma_z_matrix input matrix A.
[out]	ReA	magma_z_matrix* output matrix contaning real contributions.
[out]	ImA	magma_z_matrix* output matrix contaning complex contributions.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgedensereimsplit	(	magma_z_matrix	A,
		magma_z_matrix *	ReA,
		magma_z_matrix *	ImA,
		magma_queue_t	queue
	)

This routine takes an input matrix A in DENSE format and located on the GPU and splits it into two matrixes ReA and ImA containing the real and the imaginary contributions of A.

The output matrices are allocated within the routine.

Parameters

[in]	A	magma_z_matrix input matrix A.
[out]	ReA	magma_z_matrix* output matrix contaning real contributions.
[out]	ImA	magma_z_matrix* output matrix contaning complex contributions.
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgeellmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

Input format is ELLPACK.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	nnz_per_row	magma_int_t number of elements in the longest row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in ELLPACK
[in]	dcolind	magmaIndex_ptr columnindices of A in ELLPACK
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgeellmv_shift	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex	lambda,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magma_int_t	offset,
		magma_int_t	blocksize,
		magmaIndex_ptr	addrows,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha *( A - lambda I ) * x + beta * y on the GPU.

Input format is ELLPACK. It is the shifted version of the ELLPACK SpMV.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	nnz_per_row	magma_int_t number of elements in the longest row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	lambda	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in ELLPACK
[in]	dcolind	magmaIndex_ptr columnindices of A in ELLPACK
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[in]	offset	magma_int_t in case not the main diagonal is scaled
[in]	blocksize	magma_int_t in case of processing multiple vectors
[in]	addrows	magmaIndex_ptr in case the matrixpowerskernel is used
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgeellrtmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaIndex_ptr	drowlength,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_int_t	alignment,
		magma_int_t	blocksize,
		magma_queue_t	queue
	)

This routine computes y = alpha * A * x + beta * y on the GPU.

Input format is ELLRT. The ideas are taken from "Improving the performance of the sparse matrix vector product with GPUs", (CIT 2010), and modified to provide correct values.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows
[in]	n	magma_int_t number of columns
[in]	nnz_per_row	magma_int_t max number of nonzeros in a row
[in]	alpha	magmaDoubleComplex scalar alpha
[in]	dval	magmaDoubleComplex_ptr val array
[in]	dcolind	magmaIndex_ptr col indices
[in]	drowlength	magmaIndex_ptr number of elements in each row
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar beta
[out]	dy	magmaDoubleComplex_ptr output vector y
[in]	blocksize	magma_int_t threads per block
[in]	alignment	magma_int_t threads assigned to each row
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgeelltmv_shift	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex	lambda,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magma_int_t	offset,
		magma_int_t	blocksize,
		magmaIndex_ptr	addrows,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha *( A - lambda I ) * x + beta * y on the GPU.

Input format is ELL.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	nnz_per_row	magma_int_t number of elements in the longest row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	lambda	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in ELL
[in]	dcolind	magmaIndex_ptr columnindices of A in ELL
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[in]	offset	magma_int_t in case not the main diagonal is scaled
[in]	blocksize	magma_int_t in case of processing multiple vectors
[in]	addrows	magmaIndex_ptr in case the matrixpowerskernel is used
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmdotc	(	magma_int_t	n,
		magma_int_t	k,
		magmaDoubleComplex_ptr	v,
		magmaDoubleComplex_ptr	r,
		magmaDoubleComplex_ptr	d1,
		magmaDoubleComplex_ptr	d2,
		magmaDoubleComplex_ptr	skp,
		magma_queue_t	queue
	)

Computes the scalar product of a set of vectors v_i such that.

skp = ( <v_0,r>, <v_1,r>, .. )

Returns the vector skp.

Parameters

[in]	n	int length of v_i and r
[in]	k	int vectors v_i

Parameters

[in]	v	magmaDoubleComplex_ptr v = (v_0 .. v_i.. v_k)
[in]	r	magmaDoubleComplex_ptr r
[in]	d1	magmaDoubleComplex_ptr workspace
[in]	d2	magmaDoubleComplex_ptr workspace
[out]	skp	magmaDoubleComplex_ptr vector[k] of scalar products (<v_i,r>...)
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgesellpmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	blocksize,
		magma_int_t	slices,
		magma_int_t	alignment,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaIndex_ptr	drowptr,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A^t * x + beta * y on the GPU.

Input format is SELLP.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	blocksize	magma_int_t number of rows in one ELL-slice
[in]	slices	magma_int_t number of slices in matrix
[in]	alignment	magma_int_t number of threads assigned to one row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in SELLP
[in]	dcolind	magmaIndex_ptr columnindices of A in SELLP
[in]	drowptr	magmaIndex_ptr rowpointer of SELLP
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zgesellcmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	blocksize,
		magma_int_t	slices,
		magma_int_t	alignment,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaIndex_ptr	drowptr,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes y = alpha * A^t * x + beta * y on the GPU.

Input format is SELLC/SELLP.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	blocksize	magma_int_t number of rows in one ELL-slice
[in]	slices	magma_int_t number of slices in matrix
[in]	alignment	magma_int_t number of threads assigned to one row (=1)
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in SELLC/P
[in]	dcolind	magmaIndex_ptr columnindices of A in SELLC/P
[in]	drowptr	magmaIndex_ptr rowpointer of SELLP
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmdotc_shfl	(	magma_int_t	n,
		magma_int_t	k,
		magmaDoubleComplex_ptr	v,
		magmaDoubleComplex_ptr	r,
		magmaDoubleComplex_ptr	d1,
		magmaDoubleComplex_ptr	d2,
		magmaDoubleComplex_ptr	skp,
		magma_queue_t	queue
	)

Computes the scalar product of a set of vectors v_i such that.

skp = ( <v_0,r>, <v_1,r>, .. )

Returns the vector skp.

Parameters

[in]	n	int length of v_i and r
[in]	k	int vectors v_i

Parameters

[in]	v	magmaDoubleComplex_ptr v = (v_0 .. v_i.. v_k)
[in]	r	magmaDoubleComplex_ptr r
[in]	d1	magmaDoubleComplex_ptr workspace
[in]	d2	magmaDoubleComplex_ptr workspace
[out]	skp	magmaDoubleComplex_ptr vector[k] of scalar products (<v_i,r>...)
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmdotc4	(	magma_int_t	n,
		magmaDoubleComplex_ptr	v0,
		magmaDoubleComplex_ptr	w0,
		magmaDoubleComplex_ptr	v1,
		magmaDoubleComplex_ptr	w1,
		magmaDoubleComplex_ptr	v2,
		magmaDoubleComplex_ptr	w2,
		magmaDoubleComplex_ptr	v3,
		magmaDoubleComplex_ptr	w3,
		magmaDoubleComplex_ptr	d1,
		magmaDoubleComplex_ptr	d2,
		magmaDoubleComplex_ptr	skp,
		magma_queue_t	queue
	)

Computes the scalar product of a set of 4 vectors such that.

skp[0,1,2,3] = [ <v_0,w_0>, <v_1,w_1>, <v_2,w_2>, <v3,w_3> ]

Returns the vector skp. In case there are less dot products required, an easy workaround is given by doubling input.

Parameters

[in]	n	int length of v_i and w_i
[in]	v0	magmaDoubleComplex_ptr input vector
[in]	w0	magmaDoubleComplex_ptr input vector
[in]	v1	magmaDoubleComplex_ptr input vector
[in]	w1	magmaDoubleComplex_ptr input vector
[in]	v2	magmaDoubleComplex_ptr input vector
[in]	w2	magmaDoubleComplex_ptr input vector
[in]	v3	magmaDoubleComplex_ptr input vector
[in]	w3	magmaDoubleComplex_ptr input vector
[in]	d1	magmaDoubleComplex_ptr workspace
[in]	d2	magmaDoubleComplex_ptr workspace
[out]	skp	magmaDoubleComplex_ptr vector[4] of scalar products [<v_i, w_i>] This vector is located on the host
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmgecsrmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	num_vecs,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	drowptr,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU.

Input format is CSR.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	num_vecs	mama_int_t number of vectors
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in CSR
[in]	drowptr	magmaIndex_ptr rowpointer of A in CSR
[in]	dcolind	magmaIndex_ptr columnindices of A in CSR
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmgeellmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	num_vecs,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU.

Input format is ELLPACK.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	num_vecs	mama_int_t number of vectors
[in]	nnz_per_row	magma_int_t number of elements in the longest row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in ELLPACK
[in]	dcolind	magmaIndex_ptr columnindices of A in ELLPACK
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmgeelltmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	num_vecs,
		magma_int_t	nnz_per_row,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes Y = alpha * A * X + beta * Y for X and Y sets of num_vec vectors on the GPU.

Input format is ELL.

Parameters

[in]	transA	magma_trans_t transposition parameter for A
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	num_vecs	mama_int_t number of vectors
[in]	nnz_per_row	magma_int_t number of elements in the longest row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in ELL
[in]	dcolind	magmaIndex_ptr columnindices of A in ELL
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

magma_int_t magma_zmgesellpmv	(	magma_trans_t	transA,
		magma_int_t	m,
		magma_int_t	n,
		magma_int_t	num_vecs,
		magma_int_t	blocksize,
		magma_int_t	slices,
		magma_int_t	alignment,
		magmaDoubleComplex	alpha,
		magmaDoubleComplex_ptr	dval,
		magmaIndex_ptr	dcolind,
		magmaIndex_ptr	drowptr,
		magmaDoubleComplex_ptr	dx,
		magmaDoubleComplex	beta,
		magmaDoubleComplex_ptr	dy,
		magma_queue_t	queue
	)

This routine computes Y = alpha * A^t * X + beta * Y on the GPU.

Input format is SELLP. Note, that the input format for X is row-major while the output format for Y is column major!

Parameters

[in]	transA	magma_trans_t transpose A?
[in]	m	magma_int_t number of rows in A
[in]	n	magma_int_t number of columns in A
[in]	num_vecs	magma_int_t number of columns in X and Y
[in]	blocksize	magma_int_t number of rows in one ELL-slice
[in]	slices	magma_int_t number of slices in matrix
[in]	alignment	magma_int_t number of threads assigned to one row
[in]	alpha	magmaDoubleComplex scalar multiplier
[in]	dval	magmaDoubleComplex_ptr array containing values of A in SELLP
[in]	dcolind	magmaIndex_ptr columnindices of A in SELLP
[in]	drowptr	magmaIndex_ptr rowpointer of SELLP
[in]	dx	magmaDoubleComplex_ptr input vector x
[in]	beta	magmaDoubleComplex scalar multiplier
[out]	dy	magmaDoubleComplex_ptr input/output vector y
[in]	queue	magma_queue_t Queue to execute in.

Functions

Detailed Description

Function Documentation

vectors v_i

vectors v_i