Implementations of dense matrix related operations including matrix-vector products. More...

#include "viennacl/forwards.h"
#include "viennacl/scalar.hpp"
#include "viennacl/vector.hpp"
#include "viennacl/vector_proxy.hpp"
#include "viennacl/tools/tools.hpp"
#include "viennacl/meta/enable_if.hpp"
#include "viennacl/meta/predicate.hpp"
#include "viennacl/meta/result_of.hpp"
#include "viennacl/traits/size.hpp"
#include "viennacl/traits/start.hpp"
#include "viennacl/traits/handle.hpp"
#include "viennacl/traits/stride.hpp"
#include "viennacl/linalg/host_based/matrix_operations.hpp"

Namespaces
	viennacl
	Main namespace in ViennaCL. Holds all the basic types such as vector, matrix, etc. and defines operations upon them.

	viennacl::linalg
	Provides all linear algebra operations which are not covered by operator overloads.

Macros
#define	VIENNACL_MAKE_BINARY_OP(OPNAME)

#define	VIENNACL_MAKE_UNARY_ELEMENT_OP(funcname)

Functions
template<typename DestNumericT , typename SrcNumericT >
void	viennacl::linalg::convert (matrix_base< DestNumericT > &dest, matrix_base< SrcNumericT > const &src)

template<typename NumericT , typename SizeT , typename DistanceT >
void	viennacl::linalg::trans (const matrix_expression< const matrix_base< NumericT, SizeT, DistanceT >, const matrix_base< NumericT, SizeT, DistanceT >, op_trans > &proxy, matrix_base< NumericT > &temp_trans)

template<typename NumericT , typename ScalarType1 >
void	viennacl::linalg::am (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha)

template<typename NumericT , typename ScalarType1 , typename ScalarType2 >
void	viennacl::linalg::ambm (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarType2 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)

template<typename NumericT , typename ScalarType1 , typename ScalarType2 >
void	viennacl::linalg::ambm_m (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarType2 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)

template<typename NumericT >
void	viennacl::linalg::matrix_assign (matrix_base< NumericT > &mat, NumericT s, bool clear=false)

template<typename NumericT >
void	viennacl::linalg::matrix_diagonal_assign (matrix_base< NumericT > &mat, NumericT s)

template<typename NumericT >
void	viennacl::linalg::matrix_diag_from_vector (const vector_base< NumericT > &v, int k, matrix_base< NumericT > &A)
	Dispatcher interface for A = diag(v, k) More...

template<typename NumericT >
void	viennacl::linalg::matrix_diag_to_vector (const matrix_base< NumericT > &A, int k, vector_base< NumericT > &v)
	Dispatcher interface for v = diag(A, k) More...

template<typename NumericT >
void	viennacl::linalg::matrix_row (const matrix_base< NumericT > &A, unsigned int i, vector_base< NumericT > &v)

template<typename NumericT >
void	viennacl::linalg::matrix_column (const matrix_base< NumericT > &A, unsigned int j, vector_base< NumericT > &v)

template<typename T >
void	viennacl::linalg::norm_frobenius_impl (matrix_base< T > const &A, scalar< T > &result)
	Computes the Frobenius norm of a matrix - dispatcher interface. More...

template<typename T >
void	viennacl::linalg::norm_frobenius_cpu (matrix_base< T > const &A, T &result)
	Computes the Frobenius norm of a vector with final reduction on the CPU. More...

template<typename NumericT >
void	viennacl::linalg::prod_impl (const matrix_base< NumericT > &mat, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
	Carries out matrix-vector multiplication. More...

template<typename NumericT >
void	viennacl::linalg::prod_impl (const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &mat_trans, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
	Carries out matrix-vector multiplication with a transposed matrix. More...

template<typename NumericT , typename ScalarType >
void	viennacl::linalg::prod_impl (const matrix_base< NumericT > &A, const matrix_base< NumericT > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
	Carries out matrix-matrix multiplication. More...

template<typename NumericT , typename ScalarType >
void	viennacl::linalg::prod_impl (const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &A, const matrix_base< NumericT > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
	Carries out matrix-matrix multiplication. More...

template<typename NumericT , typename ScalarType >
void	viennacl::linalg::prod_impl (const matrix_base< NumericT > &A, const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
	Carries out matrix-matrix multiplication. More...

template<typename NumericT , typename ScalarType >
void	viennacl::linalg::prod_impl (const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &A, const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
	Carries out matrix-matrix multiplication. More...

template<typename NumericT >
void	viennacl::linalg::row_sum_impl (const matrix_base< NumericT > &A, vector_base< NumericT > &result)

template<typename NumericT >
void	viennacl::linalg::column_sum_impl (const matrix_base< NumericT > &A, vector_base< NumericT > &result)

template<typename T , typename OP >
void	viennacl::linalg::element_op (matrix_base< T > &A, matrix_expression< const matrix_base< T >, const matrix_base< T >, OP > const &proxy)
	Implementation of the element-wise operation A = B .* C and A = B ./ C for matrices (using MATLAB syntax). Don't use this function directly, use element_prod() and element_div(). More...

template<typename NumericT >
viennacl::matrix_expression< const vector_base< NumericT >, const vector_base< NumericT >, op_prod >	viennacl::linalg::outer_prod (const vector_base< NumericT > &vec1, const vector_base< NumericT > &vec2)
	Returns a proxy class for the operation mat += vec1 * vec2^T, i.e. a rank 1 update. More...

template<typename NumericT , typename S1 >
void	viennacl::linalg::scaled_rank_1_update (matrix_base< NumericT > &mat1, S1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, const vector_base< NumericT > &vec1, const vector_base< NumericT > &vec2)
	The implementation of the operation mat += alpha * vec1 * vec2^T, i.e. a scaled rank 1 update. More...

template<typename NumericT , typename VectorType >
void	viennacl::linalg::bidiag_pack (matrix_base< NumericT > &A, VectorType &dh, VectorType &sh)
	This function stores the diagonal and the superdiagonal of a matrix in two vectors. More...

template<typename SCALARTYPE >
void	viennacl::linalg::copy_vec (matrix_base< SCALARTYPE > &A, vector_base< SCALARTYPE > &V, vcl_size_t row_start, vcl_size_t col_start, bool copy_col)
	This function copies a row or a column from a matrix to a vector. More...

template<typename NumericT >
void	viennacl::linalg::house_update_A_left (matrix_base< NumericT > &A, vector_base< NumericT > &D, vcl_size_t start)
	This function applies a householder transformation to a matrix. A <- P * A with a householder reflection P. More...

template<typename NumericT >
void	viennacl::linalg::house_update_A_right (matrix_base< NumericT > &A, vector_base< NumericT > &D)
	This function applies a householder transformation to a matrix: A <- A * P with a householder reflection P. More...

template<typename NumericT >
void	viennacl::linalg::house_update_QL (matrix_base< NumericT > &Q, vector_base< NumericT > &D, vcl_size_t A_size1)
	This function updates the matrix Q, which is needed for the computation of the eigenvectors. More...

template<typename NumericT >
void	viennacl::linalg::givens_next (matrix_base< NumericT > &Q, vector_base< NumericT > &tmp1, vector_base< NumericT > &tmp2, int l, int m)
	This function updates the matrix Q. It is part of the tql2 algorithm. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator+= (vector_base< NumericT > &v1, const viennacl::vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, viennacl::op_prod > &proxy)
	Implementation of the operation v1 += A * v2, where A is a matrix. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator-= (vector_base< NumericT > &v1, const viennacl::vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, viennacl::op_prod > &proxy)
	Implementation of the operation v1 -= A * v2, where A is a matrix. More...

template<typename NumericT >
viennacl::vector< NumericT >	viennacl::operator+ (const vector_base< NumericT > &v1, const vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation 'result = v1 + A * v2', where A is a matrix. More...

template<typename NumericT >
viennacl::vector< NumericT >	viennacl::operator- (const vector_base< NumericT > &v1, const vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation 'result = v1 - A * v2', where A is a matrix. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator+= (vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation v1 += A * v2, where A is a matrix. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator-= (vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation v1 -= A * v2, where A is a matrix. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator+ (const vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation 'result = v1 + A * v2', where A is a matrix. More...

template<typename NumericT >
vector< NumericT >	viennacl::operator- (const vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
	Implementation of the operation 'result = v1 - A * v2', where A is a matrix. More...

Detailed Description

Implementations of dense matrix related operations including matrix-vector products.

Definition in file matrix_operations.hpp.

Macro Definition Documentation

#define VIENNACL_MAKE_BINARY_OP ( OPNAME )

Definition at line 731 of file matrix_operations.hpp.

#define VIENNACL_MAKE_UNARY_ELEMENT_OP ( funcname )

Value:

template<typename T> \
    viennacl::matrix_expression<const matrix_base<T>, const matrix_base<T>, op_element_unary<op_##funcname> > \
    element_##funcname(matrix_base<T> const & A) \
    { \
      return viennacl::matrix_expression<const matrix_base<T>, const matrix_base<T>, op_element_unary<op_##funcname> >(A, A); \
    } \
    template<typename LHS, typename RHS, typename OP> \
    viennacl::matrix_expression<const matrix_expression<const LHS, const RHS, OP>, \
                                const matrix_expression<const LHS, const RHS, OP>, \
                                op_element_unary<op_##funcname> > \
    element_##funcname(matrix_expression<const LHS, const RHS, OP> const & proxy) \
    { \
      return viennacl::matrix_expression<const matrix_expression<const LHS, const RHS, OP>, \
                                         const matrix_expression<const LHS, const RHS, OP>, \
                                         op_element_unary<op_##funcname> >(proxy, proxy); \
    } \

Definition at line 789 of file matrix_operations.hpp.

Namespaces

Macros

Functions

Detailed Description

Macro Definition Documentation