matrix_operations.hpp File Reference

Implementations of dense matrix related operations, including matrix-vector products, using a plain single-threaded or OpenMP-enabled execution on CPU. 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/detail/op_applier.hpp"
#include "viennacl/linalg/host_based/common.hpp"
#include "viennacl/linalg/prod.hpp"

Go to the source code of this file.

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.
	viennacl::linalg::host_based
	Holds all compute kernels with conventional host-based execution (buffers in CPU RAM).
	viennacl::linalg::host_based::detail
	Helper functions for the host-based linear algebra backend.

Functions
template<typename DestNumericT , typename SrcNumericT >
void	viennacl::linalg::host_based::convert (matrix_base< DestNumericT > &mat1, matrix_base< SrcNumericT > const &mat2)
template<typename NumericT , typename SizeT , typename DistanceT >
void	viennacl::linalg::host_based::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 ScalarT1 >
void	viennacl::linalg::host_based::am (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	viennacl::linalg::host_based::ambm (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	viennacl::linalg::host_based::ambm_m (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarT1 const &alpha, vcl_size_t, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarT2 const &beta, vcl_size_t, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_assign (matrix_base< NumericT > &mat, NumericT s, bool clear=false)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_diagonal_assign (matrix_base< NumericT > &mat, NumericT s)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_diag_from_vector (const vector_base< NumericT > &vec, int k, matrix_base< NumericT > &mat)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_diag_to_vector (const matrix_base< NumericT > &mat, int k, vector_base< NumericT > &vec)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_row (const matrix_base< NumericT > &mat, unsigned int i, vector_base< NumericT > &vec)
template<typename NumericT >
void	viennacl::linalg::host_based::matrix_column (const matrix_base< NumericT > &mat, unsigned int j, vector_base< NumericT > &vec)
template<typename NumericT , typename OpT >
void	viennacl::linalg::host_based::element_op (matrix_base< NumericT > &A, matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_binary< OpT > > const &proxy)
	Implementation of the element-wise operations A = B .* C and A = B ./ C (using MATLAB syntax) More...
template<typename NumericT , typename OpT >
void	viennacl::linalg::host_based::element_op (matrix_base< NumericT > &A, matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_element_unary< OpT > > const &proxy)
template<typename NumericT >
void	viennacl::linalg::host_based::prod_impl (const matrix_base< NumericT > &mat, bool trans, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
	Carries out matrix-vector multiplication. More...
template<typename MatrixAccT1 , typename MatrixAccT2 , typename MatrixAccT3 , typename NumericT >
void	viennacl::linalg::host_based::detail::prod (MatrixAccT1 &A, MatrixAccT2 &B, MatrixAccT3 &C, vcl_size_t C_size1, vcl_size_t C_size2, vcl_size_t A_size2, NumericT alpha, NumericT beta)
template<typename NumericT , typename ScalarT1 , typename ScalarT2 >
void	viennacl::linalg::host_based::prod_impl (const matrix_base< NumericT > &A, bool trans_A, const matrix_base< NumericT > &B, bool trans_B, matrix_base< NumericT > &C, ScalarT1 alpha, ScalarT2 beta)
	Carries out matrix-matrix multiplication. More...
template<typename NumericT , typename ScalarT >
void	viennacl::linalg::host_based::scaled_rank_1_update (matrix_base< NumericT > &mat1, ScalarT const &alpha, vcl_size_t, 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 S1 >
void	viennacl::linalg::host_based::bidiag_pack_impl (matrix_base< NumericT > &A, vector_base< S1 > &D, vector_base< S1 > &S)
	This function stores the diagonal and the superdiagonal of a matrix in two vectors. More...
template<typename NumericT , typename VectorType >
void	viennacl::linalg::host_based::bidiag_pack (matrix_base< NumericT > &A, VectorType &dh, VectorType &sh)
template<typename NumericT >
void	viennacl::linalg::host_based::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::host_based::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::host_based::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::host_based::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 , typename S1 >
void	viennacl::linalg::host_based::copy_vec (matrix_base< NumericT > &A, vector_base< S1 > &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...

Detailed Description

Implementations of dense matrix related operations, including matrix-vector products, using a plain single-threaded or OpenMP-enabled execution on CPU.

Definition in file matrix_operations.hpp.